Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (102)

Search Parameters:
Keywords = stratified turbulence

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
16 pages, 2579 KB  
Article
Experimental Study of Thermal Stratification in Lead-Bismuth Pools and Development of Predictive Models
by Jieming Hou, Pengrui Qiao, Bo Kuang, Haopeng Shi, Enpei Wang and Jianping Su
Appl. Sci. 2026, 16(10), 5103; https://doi.org/10.3390/app16105103 - 20 May 2026
Viewed by 230
Abstract
Thermal stratification is a common thermal-hydraulic phenomenon in liquid metal cooled reactors, which significantly affects system safety by weakening the natural-circulation driving head and inducing thermal stresses. To predict this phenomenon, thermal stratification experiments were conducted at the MATH (Multi-Application LBE Thermal-Hydraulic test [...] Read more.
Thermal stratification is a common thermal-hydraulic phenomenon in liquid metal cooled reactors, which significantly affects system safety by weakening the natural-circulation driving head and inducing thermal stresses. To predict this phenomenon, thermal stratification experiments were conducted at the MATH (Multi-Application LBE Thermal-Hydraulic test facility). The dimensionless stratification number (STR) was introduced to quantify stratification intensity, and its correlation with the Richardson number (Ri) was analyzed. Experimental results suggest that Ri ≈ 10 indicates the critical threshold for stratification stability under the present experimental conditions: below this value, turbulent mixing dominates, destroying density gradients and interfacial structures; above this value, buoyancy suppresses turbulent mixing, maintaining the stratified state. Based on experimental results and stratified turbulence theory, a predictive model for thermal stratification was developed for the multidimensional system code LIMSAC. Validation results confirm that the model accurately reproduces the evolution of thermal stratification. Full article
Show Figures

Figure 1

24 pages, 20806 KB  
Article
Leakage and Diffusion Law and Risk Assessment of Buried Natural Gas Pipelines Considering Soil Stratification and Permeability Difference
by Zhipeng Yu, Xingyu Wang, Ting Pan, Zhenglong Li, Zhanghua Yin, Fubin Wang, Siyan Hong and Bingyuan Hong
Processes 2026, 14(9), 1467; https://doi.org/10.3390/pr14091467 - 30 Apr 2026
Cited by 4 | Viewed by 288
Abstract
This study investigates methane leakage and diffusion from a buried high-pressure natural gas pipeline (8 MPa, 1000 mm diameter) using CFD simulations with the DES turbulence model. Based on homogeneous and layered soil models, the influences of soil porosity (0.46 to 0.54), particle [...] Read more.
This study investigates methane leakage and diffusion from a buried high-pressure natural gas pipeline (8 MPa, 1000 mm diameter) using CFD simulations with the DES turbulence model. Based on homogeneous and layered soil models, the influences of soil porosity (0.46 to 0.54), particle size (10 μm to 100 μm), and soil stratification on the spatial and temporal characteristics of methane diffusion are systematically explored. The simulation results show that (1) methane diffuses from the leak hole to the surrounding soil in an ellipsoidal pattern, with the fastest diffusion speed along the pipeline’s axial direction. (2) In homogeneous soil, within the range of soil parameter values considered in this study, the absolute changes in risk assessment indices (FDR, GDR) caused by soil particle size were more significant; whereas the relative percentage changes in risk assessment indicators caused by soil porosity were more pronounced. (3) In layered soil, the permeability contrast between adjacent layers creates the permeability discontinuity interface effect. When a fine-grained or low-porosity layer overlies a coarse-grained layer, the upper layer acts as a hydraulic barrier, prolonging FDT from 130 s to 354 s while promoting significant horizontal spread at the interface. Conversely, a coarse-grained or high-porosity upper layer accelerates vertical breakthrough. These findings provide a scientific basis for risk assessment, monitoring site optimization, and emergency response planning, particularly in regions with heterogeneous stratified soils. Full article
(This article belongs to the Section Energy Systems)
Show Figures

Figure 1

18 pages, 9016 KB  
Article
Baroclinic Semidiurnal Tidal Currents over the Head of the Biobio Canyon, Central Chile
by Marcus Sobarzo, Piero Mardones and Gonzalo S. Saldías
J. Mar. Sci. Eng. 2026, 14(9), 811; https://doi.org/10.3390/jmse14090811 - 28 Apr 2026
Viewed by 323
Abstract
This study characterizes the structure and variability of baroclinic semidiurnal tidal currents at the head of the Biobio Submarine Canyon (BbC), off central Chile, based on Acoustic Doppler Current Profiler (ADCP) and moored thermistor-chain observations from two deployments conducted in 2013 and 2014 [...] Read more.
This study characterizes the structure and variability of baroclinic semidiurnal tidal currents at the head of the Biobio Submarine Canyon (BbC), off central Chile, based on Acoustic Doppler Current Profiler (ADCP) and moored thermistor-chain observations from two deployments conducted in 2013 and 2014 under contrasting stratification conditions. The results show that the head of the BbC is a dynamically active site of semidiurnal variability, with markedly stronger and more coherent baroclinic motions during the more stratified winter–spring 2014 period. During that deployment, semidiurnal baroclinic current amplitudes reached up to 17 cm s−1, and the associated energy was concentrated near the surface and bottom. Rotary spectral analysis indicated that these semidiurnal baroclinic currents rotated anticyclonically and were closely aligned with the canyon axis. Empirical orthogonal function (EOF) analysis further showed that their vertical structure was dominated by a first baroclinic mode, which explained more than 70% of the semidiurnal baroclinic variance in 2014. In contrast, the 2013 deployment exhibited weaker and less coherent semidiurnal baroclinic variability. Taken together, these results indicate that stronger stratification favored the development of semidiurnal internal-tide-related motions over the canyon head and that the BbC provides a dynamically favorable setting for enhanced semidiurnal internal-tide activity and potentially elevated mixing, although direct turbulence or dissipation measurements were not available in this study. These findings have potential implications for local water-column structure, nutrient supply, and primary productivity in this highly productive coastal region. Full article
(This article belongs to the Section Physical Oceanography)
Show Figures

Figure 1

22 pages, 4959 KB  
Article
A Study on the Response of Monopile Foundations for Offshore Wind Turbines Using Numerical Analysis Methods
by Zhijun Wang, Di Liu, Shujie Zhao, Nielei Huang, Bo Han and Xiangyu Kong
J. Mar. Sci. Eng. 2026, 14(8), 691; https://doi.org/10.3390/jmse14080691 - 8 Apr 2026
Viewed by 626
Abstract
The prediction of dynamic responses of offshore wind turbine foundations under wind-wave-current multi-field coupled loads is the cornerstone of safety in offshore wind power engineering. The currently widely adopted equivalent load application method, while computationally efficient, simplifies loads into concentrated forces applied at [...] Read more.
The prediction of dynamic responses of offshore wind turbine foundations under wind-wave-current multi-field coupled loads is the cornerstone of safety in offshore wind power engineering. The currently widely adopted equivalent load application method, while computationally efficient, simplifies loads into concentrated forces applied at the pile top and tower top, neglecting fluid-structure dynamic interaction mechanisms, which leads to deviations in response predictions. To overcome this limitation, this paper proposes a high-precision bidirectional fluid-structure interaction numerical framework. The fluid domain employs computational fluid dynamics (CFD) to construct an air-seawater two-phase flow model, utilizing the standard k-ε turbulence model and nonlinear wave theory to accurately simulate complex marine environments. The solid domain establishes a wind turbine-stratified seabed system via the finite element method (FEM), describing soil-rock mechanical properties based on the Mohr-Coulomb constitutive model. Comparative studies indicate that the equivalent static method significantly underestimates the displacement response of pile foundations, particularly under the extreme shutdown conditions examined in this study. This value should be interpreted as a case-specific observation rather than a universal deviation, and the discrepancy may vary with sea state, wind speed, current velocity, and wind–wave misalignment, thereby leading to non-conservative estimates of stress distribution. In contrast, the fluid-structure interaction method can reveal key physical processes such as local flow acceleration and wake–interference effects around the tower and the parked rotor under shutdown conditions, and the nonlinear interaction and resistance-increasing mechanisms between waves and currents. This model provides a reliable tool for safety assessment and damage evolution analysis of wind turbine foundations under extreme marine conditions, promoting the transformation of offshore wind power structure design from empirical formulas to mechanism-driven approaches. Full article
Show Figures

Figure 1

18 pages, 3503 KB  
Article
Numerical Simulation of Air-Water-Mineral Three-Phase Flow in a Flotation Column for Graphite
by Zhineng Liu, Jun Wang, Dongfang Lu, Hongchang Liu, Baojun Yang, Rui Liao, Lianjun Wu and Guanzhou Qiu
Minerals 2026, 16(3), 254; https://doi.org/10.3390/min16030254 - 28 Feb 2026
Viewed by 432
Abstract
This study aims to clarify the influence mechanism of air–water–mineral three-phase flow behavior on separation efficiency in a graphite flotation column, addressing the issues of over-breaking of coarse graphite flakes and low recovery of fine particles caused by mismatched flow fields and operating [...] Read more.
This study aims to clarify the influence mechanism of air–water–mineral three-phase flow behavior on separation efficiency in a graphite flotation column, addressing the issues of over-breaking of coarse graphite flakes and low recovery of fine particles caused by mismatched flow fields and operating parameters in traditional flotation columns. Using CFD numerical simulations based on the Eulerian multiphase flow model, the standard k-ε turbulence model, and scalable wall functions, the effects of feed velocity (0.8–2.4 m/s) and aeration velocity (1–5 m/s) on the flow field structure, gas holdup distribution, and weighted average bubble–particle collision probability inside the column were systematically analyzed. Key quantitative results show that under the synergistic condition of a feed velocity of 2 m/s and an aeration velocity of 3 m/s, an internal circulation flow field conducive to particle retention is formed. Under these conditions, the gas holdup in the collection zone reaches an optimal range (0.26–0.27), and the weighted average collision probability increases by approximately 22% compared to the baseline condition. Aeration velocity shows a significant positive correlation with gas holdup in the collection zone (~0.235 at 1 m/s, rising to ~0.285 at 5 m/s). While an increase in feed velocity reduces the overall gas volume fraction, it enhances turbulence and promotes uniform bubble dispersion through the spatial distribution of regions with high collision probability from the upper part to the upper–middle part of the column and improves the uniformity of distribution. The novelty of this study lies in being the first to quantitatively reveal, through CFD simulation, the coupled regulatory effects of feed velocity and aeration velocity on the stratified flow field structure and mineralization probability in a flotation column and to identify the key optimization threshold of “2 m/s feed velocity”. The practical significance is that it provides a clear theoretical basis and operational window for energy saving, consumption reduction, and process intensification in industrial flotation columns. It offers directly applicable parameter optimization strategies for the efficient recovery of fine-flake graphite and the protection of coarse flakes. Full article
Show Figures

Figure 1

30 pages, 12256 KB  
Article
Entropy Production Analysis and Fluid–Structure Refinement of a Stepless Stratified Intake
by Jiahuan Qi, Ke Liu, Xingen Wang, Jianping Zhao and Jun Li
Entropy 2026, 28(3), 256; https://doi.org/10.3390/e28030256 - 26 Feb 2026
Viewed by 491
Abstract
Thermal stratification in deep reservoirs can cause ecologically problematic cold-water releases, and many existing selective-withdrawal phenomena rely on a limited set of fixed intake levels, which constrains their ability to follow seasonal shifts in the thermocline. Stepless stratified intakes with continuously adjustable flap [...] Read more.
Thermal stratification in deep reservoirs can cause ecologically problematic cold-water releases, and many existing selective-withdrawal phenomena rely on a limited set of fixed intake levels, which constrains their ability to follow seasonal shifts in the thermocline. Stepless stratified intakes with continuously adjustable flap gates offer quasi-continuous control of withdrawal depth, but their multi-gate, multi-brace layouts generate complex internal hydraulics whose energy-loss mechanisms are not well captured by conventional head-loss and resistance-coefficient metrics. In this study, physical-model measurements are combined with a validated three-dimensional numerical model, and entropy-production theory is used as a diagnostic to resolve where and by which mechanisms mechanical energy is irreversibly degraded inside a single-unit stepless stratified intake. The analysis shows that turbulent entropy production accounts for more than 98% of total dissipation, concentrated mainly in the flow channel and gate shaft, while the reservoir and outlet pipe contribute only weakly. Local entropy-production-rate fields indicate that dominant irreversibilities are associated with flow turning at the active gate leaves and with separation and wake development around horizontal and vertical braces, which generate low-velocity bands across gate levels and a low-velocity corridor in the shaft. Five geometric modification schemes targeting gate-entrance shaping and brace layout are evaluated; a combined brace-alignment and edge-rounding configuration most effectively weakens dissipation hotspots, improves discharge sharing among gate levels and reduces total entropy production. These findings show that entropy-based diagnostics can complement traditional hydraulic indicators and provide effective guidance for the design and refinement of stepless stratified intake structures. Full article
(This article belongs to the Special Issue Advances in Entropy and Computational Fluid Dynamics, 2nd Edition)
Show Figures

Figure 1

11 pages, 371 KB  
Article
Line Thermals from Finite Sources in Neutral and Stable Environments, with Application to Thermal Plumes from Submarines
by Jason H. Middleton
Fluids 2026, 11(3), 62; https://doi.org/10.3390/fluids11030062 - 26 Feb 2026
Viewed by 405
Abstract
The first application of theory of the rise of line thermals was to understand the rise of turbulent smoke plumes emitted from smoke stacks into a cross-wind. Initial solutions required numerical calculations. In this article analytical solutions are found, and these are used [...] Read more.
The first application of theory of the rise of line thermals was to understand the rise of turbulent smoke plumes emitted from smoke stacks into a cross-wind. Initial solutions required numerical calculations. In this article analytical solutions are found, and these are used here to explore solutions for the rise of buoyant line wakes from submarine vehicles. Solutions cater for wakes in both neutral and stable environments, and for sources which have either negative or positive initial buoyancy. Account is also taken of sources with differing size and initial momentum. Practical examples of submarine thermal wake flows are given using neutral and typical stably stratified upper ocean conditions and a range of source conditions. A key result is that small-diameter submarine wakes with high temperatures produced in weakly stratified ocean waters will have a large height of rise, and may easily reach the surface. By contrast, large-source-diameter wakes, with temperatures close to ambient and emitted into strongly stratified oceans, will have very small heights of rise. Full article
(This article belongs to the Special Issue Thermal Fluids: Theory and Applications)
Show Figures

Figure 1

22 pages, 6448 KB  
Article
Experimental Comparison of Unstratified and Stratified Drag Wakes of a Dimpled Sphere at Reynolds Number 105
by Maddie C. Samuell, Nerion Zekaj and Scott Wunsch
Fluids 2026, 11(2), 46; https://doi.org/10.3390/fluids11020046 - 6 Feb 2026
Viewed by 636
Abstract
The drag wake of a dimpled sphere is studied experimentally using stereo particle image velocimetry at a Reynolds number of 105 in both unstratified and stratified (Froude number 80) fluids at downstream distances of [...] Read more.
The drag wake of a dimpled sphere is studied experimentally using stereo particle image velocimetry at a Reynolds number of 105 in both unstratified and stratified (Froude number 80) fluids at downstream distances of 2x/D15. More than eighty experiments were conducted, and both analyses of ensemble-mean wakes and statistics of individual experiment wake data are presented. Stratification is found to qualitatively change the ensemble-mean wake axial velocity defect immediately behind the sphere, taking a Gaussian shape without stratification and an oval shape with stratification. As x/D increases, the impact of stratification decreases up to the limit of the data at x/D=15. Analysis of individual experiment wakes indicates that most of the difference between unstratified and stratified ensemble-mean wakes at x/D>10 is because stratification reduces wake meandering in the vertical direction. Full article
(This article belongs to the Section Turbulence)
Show Figures

Figure 1

18 pages, 8082 KB  
Article
Application of Attention Mechanism Models in the Identification of Oil–Water Two-Phase Flow Patterns
by Qiang Chen, Haimin Guo, Xiaodong Wang, Yuqing Guo, Jie Liu, Ao Li, Yongtuo Sun and Dudu Wang
Processes 2026, 14(2), 265; https://doi.org/10.3390/pr14020265 - 12 Jan 2026
Viewed by 579
Abstract
Accurate identification of oil–water two-phase flow patterns is essential for ensuring the safety and operational efficiency of oil and gas extraction systems. While traditional methods using empirical models and sensor technologies have provided basic insights, they often struggle to capture the nonlinear features [...] Read more.
Accurate identification of oil–water two-phase flow patterns is essential for ensuring the safety and operational efficiency of oil and gas extraction systems. While traditional methods using empirical models and sensor technologies have provided basic insights, they often struggle to capture the nonlinear features of complex operational conditions. To address the challenge of data scarcity commonly found in experimental settings, this study employs a data augmentation strategy that combines the Synthetic Minority Over-sampling Technique (SMOTE) with Gaussian noise injection, effectively expanding the feature space from 60 original experimental nodes. Next, a physics-constrained attention mechanism model was developed that incorporates a physical constraint matrix to effectively mask irrelevant feature interactions. Experimental results show that while the standard attention model (83.88%) and the baseline BP neural network (84.25%) have limitations in generalizing to complex regimes, the proposed physics-constrained model achieves a peak test accuracy of 96.62%. Importantly, the model demonstrates exceptional robustness in identifying complex transition regions—specifically Dispersed Oil-in-Water (DO/W) flows—where it improved recall rates by about 24.6% compared to baselines. Additionally, visualization of attention scores confirms that the distribution of attention weights aligns closely with fluid-dynamic mechanisms—favoring inclination for stratified flows and flow rate for turbulence-dominated dispersions—thus validating the model’s interpretability. This research offers a novel, interpretable approach for modeling dynamic feature interactions in multiphase flows and provides valuable insights for intelligent oilfield development. Full article
Show Figures

Graphical abstract

30 pages, 721 KB  
Article
Exploring the Role of Succession Planning and Talent Development in Enhancing Organizational Agility: The Case of Saudi Banking
by Abdallah Ali Mohammad Alrifae, Abdulrahman Abdulaziz Alhabeeb, Hassan Alhanatleh and Sakher (M. A.) Alnajdawi
Sustainability 2025, 17(24), 11215; https://doi.org/10.3390/su172411215 - 15 Dec 2025
Cited by 10 | Viewed by 2554
Abstract
The study assesses how effectively succession planning and talent management facilitate the establishment of organizational agility, as well as the moderating influence of organizational learning in the context of Saudi-based banking and finance sectors. Based on the Resource-Based View theory, the study indicates [...] Read more.
The study assesses how effectively succession planning and talent management facilitate the establishment of organizational agility, as well as the moderating influence of organizational learning in the context of Saudi-based banking and finance sectors. Based on the Resource-Based View theory, the study indicates that learning culture and human capital are very important as primary sources of competitiveness in turbulent environments. A stratified sampling was used in the data gathering of 400 respondents and the partial least squares structural equation modeling (PLS-SEM). The result shows that there is a positive and statistically significant relationship between succession planning and organizational agility, and, therefore, a consistent stream of leadership makes an organization more adaptable and resilient. On the other hand, talent development was negatively correlated with agility, which implies that the existing training practices do not match agility needs. Representatives of organizational learning moderated the succession planning–agility, leadership readiness, and adaptability relationship in a positive manner, but moderated the talent development–agility relationship in a negative manner, which implies that the organization has a disconnection between learning and talent strategies. It highlights the necessity to redesign HR practices to make them agile, promote the development of adaptive leadership and a culture of learning, and introduce flexible talent policies. This knowledge adds to the theoretical discussion of the dual nature of organizational learning as a facilitator and constraint as well as providing practical ways to enhance competitiveness in dynamic financial markets. Full article
Show Figures

Figure 1

35 pages, 10685 KB  
Article
Heat Transfer Prediction for Internal Flow Condensation in Inclined Tubes
by Mateus Henrique Corrêa, Victor Gouveia Ferrares, Alexandre Garcia Costa, Matheus Medeiros Donatoni, Maurício Mani Marinheiro, Daniel Borba Marchetto and Cristiano Bigonha Tibiriçá
Fluids 2025, 10(12), 326; https://doi.org/10.3390/fluids10120326 - 9 Dec 2025
Cited by 1 | Viewed by 898
Abstract
This study investigates the heat transfer coefficient (HTC) during flow condensation inside smooth inclined tubes, analyzing the combined effects of flow orientation, fluid properties and flow characteristics on the thermal performance. The literature review indicates that the channel inclination effect on the HTC [...] Read more.
This study investigates the heat transfer coefficient (HTC) during flow condensation inside smooth inclined tubes, analyzing the combined effects of flow orientation, fluid properties and flow characteristics on the thermal performance. The literature review indicates that the channel inclination effect on the HTC remains insufficiently understood, highlighting the need for further investigation. Thus, a comprehensive experimental database comprising 4944 data points was compiled from 24 studies, including all flow directions, from upward, to horizontal, downward, and intermediate orientations. The study reveals that the influence of flow inclination on the HTC can be ruled by a criterion based on the liquid film thickness Froude number, Frδ. At Frδ > 4.75, the effect of flow inclination becomes negligible, while under Frδ < 4.75, the inclination can have a considerable effect on the HTC. The experimental data show that at low Froude numbers, upward flow typically exhibits higher HTC compared to downward flow, attributed to enhanced interfacial turbulence caused by opposing gravitational and shear forces. In contrast, under vertical downward flow, the annular pattern is more prominent, with reduced interfacial disturbances, limiting HTC performance. The compiled experimental database for inclined channels was compared against an update list of prediction methods, including seven correlations incorporating the inclination angle as an input parameter. Additionally, a new simple correction factor including the effect of inclined tubes was proposed based on the flow inclination angle and on the liquid film thickness Froude number. The proposed correction factor improved the prediction of well-ranked correlations in the literature by over 20% for stratified flow pattern conditions and by more than 5% for low Froude number values. These findings present new insights into how tube inclination can affect heat transfer in a two-phase flow. Full article
Show Figures

Figure 1

37 pages, 7884 KB  
Article
Numerical Simulation Study of Air Flotation Zone of Horizontal Compact Swirling Flow Air Flotation Device
by Lei Zhang, Xiaolong Xiao, Mingxiu Yao, Leiyou Hai, Huiyun Men, Wenming Jiang and Yang Liu
Processes 2025, 13(12), 3848; https://doi.org/10.3390/pr13123848 - 28 Nov 2025
Cited by 1 | Viewed by 819
Abstract
Air flotation separation technology has emerged as one of the core techniques for oily wastewater treatment in oilfields, owing to its advantages of high throughput, high separation efficiency, and short retention time. Originally applied in mineral processing, this technology was first introduced to [...] Read more.
Air flotation separation technology has emerged as one of the core techniques for oily wastewater treatment in oilfields, owing to its advantages of high throughput, high separation efficiency, and short retention time. Originally applied in mineral processing, this technology was first introduced to oilfield produced water treatment by Shell in 1960. With the optimization of microbubble generators, advances in microbubble generation technology—characterized by small size, high stability, and uniformity—have further expanded its applications across various wastewater treatment scenarios. To optimize the separation performance of a horizontal compact closed-loop cyclonic air flotation unit, this study employs CFD numerical simulation to investigate two key aspects: First, for the flotation zone, the effects of structural parameters (deflector height, inclination angle) and operational parameters (gas–oil ratio, bubble size, inlet velocity) on flow patterns and gas distribution were systematically examined. Device performance was evaluated using metrics such as gas–oil ratio distribution curves and flow field characteristics, enabling the identification of operating conditions for stratified flow formation and the determination of optimal deflector structural parameters. Second, based on the Eulerian multiphase flow model and RSM turbulence model, a numerical simulation model for the oil–gas–water three-phase flow field was established. The influences of key parameters (bubble size, throughput, gas–oil ratio) on oil–water separation efficiency were investigated, and the optimal operating conditions for the unit were determined by integrating oil-phase/gas-phase distribution characteristics with oil removal rate data. This research provides theoretical support for the structural optimization and engineering application of horizontal compact closed-loop cyclonic flotation units. Full article
(This article belongs to the Section Separation Processes)
Show Figures

Figure 1

28 pages, 7453 KB  
Article
Vortex Stability in the Thermal Quasi-Geostrophic Dynamics
by Xavier Carton, Yan Barabinot and Guillaume Roullet
Fluids 2025, 10(11), 280; https://doi.org/10.3390/fluids10110280 - 28 Oct 2025
Viewed by 738
Abstract
The stability of a circular vortex is studied in the thermal quasi-geostrophic (TQG) model. Several radial distributions of vorticity and buoyancy (temperature) are considered for the mean flow. First, the linear stability of these vortices is addressed. The linear problem is solved exactly [...] Read more.
The stability of a circular vortex is studied in the thermal quasi-geostrophic (TQG) model. Several radial distributions of vorticity and buoyancy (temperature) are considered for the mean flow. First, the linear stability of these vortices is addressed. The linear problem is solved exactly for a simple flow, and two stability criteria are then derived for general mean flows. Then, the growth rate and most unstable wavenumbers of normal-mode perturbations are computed numerically for Gaussian and cubic exponential vortices, both for elliptical and higher mode perturbations. In TQG, contrary to usual QG, short waves can be linearly unstable on shallow vorticity profiles. Linearly, both stratification and bottom topography (under specific conditions) have a stabilizing role. In a second step, we use a numerical model of the nonlinear TQG equations. With a Gaussian vortex, we show the growth of small-scale perturbations during the vortex instability, as predicted by the linear analysis. In particular, for an unstable vortex with an elliptical perturbation, the final tripolar vortices can have a turbulent peripheral structure, when the ratio of mean buoyancy to mean velocity is large enough. The frontogenetic tendency indicates how small-scale features detach from the vortex core towards its periphery, and thus feed the turbulent peripheral vorticity. We confirm that stratification and topography have a stabilizing influence as shown by the linear theory. Then, by varying the vortex and perturbation characteristics, we classify the various possible nonlinear regimes. The numerical simulations show that the influence of the growing small-scale perturbations is to weaken the peripheral vortices formed by the instability, and by this, to stabilize the whole vortex. A finite radius of deformation and/or bottom topography also stabilize the vortex as predicted by linear theory. An extension of this work to stratified flows is finally recommended. Full article
(This article belongs to the Collection Advances in Geophysical Fluid Dynamics)
Show Figures

Figure 1

22 pages, 2544 KB  
Article
Pressure Drops for Turbulent Liquid Single-Phase and Gas–Liquid Two-Phase Flows in Komax Triple Action Static Mixer
by Youcef Zenati, M’hamed Hammoudi, Abderraouf Arabi, Jack Legrand and El-Khider Si-Ahmed
Fluids 2025, 10(10), 259; https://doi.org/10.3390/fluids10100259 - 4 Oct 2025
Cited by 3 | Viewed by 2010
Abstract
Static mixers are commonly used for process intensification in a wide range of industrial applications. For the design and selection of a static mixer, an accurate prediction of the hydraulic performance, particularly the pressure drop, is essential. This experimental study examines the pressure [...] Read more.
Static mixers are commonly used for process intensification in a wide range of industrial applications. For the design and selection of a static mixer, an accurate prediction of the hydraulic performance, particularly the pressure drop, is essential. This experimental study examines the pressure drop for turbulent single-phase and gas–liquid two-phase flows through a Komax triple-action static mixer placed on a horizontal pipeline. New values of friction factor and z-factor are reported for fully turbulent liquid single-phase flow (11,700 ≤ ReL ≤ 18,700). For two-phase flow, the pressure drop for stratified and intermittent flows (0.07 m/s ≤ UL ≤ 0.28 m/s and 0.46 m/s ≤ UG ≤ 3.05 m/s) is modeled using the Lockhart–Martinelli approach, with a coefficient, C, correlated to the homogenous void fraction. Conversely, the analysis of power dissipation reveals a dependence on both liquid and gas superficial velocities. For conditions corresponding to intermittent flow upstream of the mixer, flow visualization revealed the emergence of a swirling flow in the Komax static mixer. It is interesting to note that an increase in slug frequency leads to an increase, followed by stabilization of the pressure drop. The results offer valuable insights for improving the design and optimization of Komax static mixers operating under single-phase and two-phase flow conditions. In particular, the reported correlations can serve as practical tools for predicting hydraulic losses during the design and scale-up. Moreover, the observed influence of the slug frequency on the pressure drop provides guidance for selecting operating conditions that minimize energy consumption while ensuring efficient mixing. Full article
(This article belongs to the Special Issue Pipe Flow: Research and Applications, 2nd Edition)
Show Figures

Figure 1

23 pages, 23760 KB  
Article
Optimization of Inlet Flow Pattern and Performance Enhancement in Oil-Gas Multiphase Pumps Using Helical Static Mixer
by Wei Han, Lingrui Zhu, Longlong Zhao, Huiyu Chen, Hongfa Huang, Wanquan Deng and Lei Ji
Actuators 2025, 14(10), 469; https://doi.org/10.3390/act14100469 - 26 Sep 2025
Viewed by 941
Abstract
With increasing global energy demand and depletion of onshore oil–gas resources, deep-sea hydrocarbon exploration and development have become strategically vital. As core subsea transportation equipment, the performance of helico-axial multiphase pumps directly determines the efficiency and economic feasibility of deep-sea extraction. However, non-uniform [...] Read more.
With increasing global energy demand and depletion of onshore oil–gas resources, deep-sea hydrocarbon exploration and development have become strategically vital. As core subsea transportation equipment, the performance of helico-axial multiphase pumps directly determines the efficiency and economic feasibility of deep-sea extraction. However, non-uniform inflow patterns caused by uneven gas–liquid distribution in pipelines degrade pressure-boosting capability and reduce pump efficiency under actual operating conditions. To address this, an optimization method employing helical static mixers was developed. A mixer with a 180° helical angle was designed and installed upstream of the pump inlet. Numerical simulations demonstrate that the mixer enhances gas-phase distribution uniformity in stratified flow, improving efficiency and head across varying gas void fractions (GVFs). At a stratification height ratio (Ψ) of 0.32, efficiency increased by 15.41% and head rose by 15.64 m, while turbulent kinetic energy (TKE) at the impeller outlet decreased by up to 50%. For slug flow conditions, the mixer effectively suppressed gas volume fraction fluctuations, consistently improving efficiency under different slug flow coefficients (φ) with a maximum head increase of 9.82%. The optimized flow field exhibits uniform gas–liquid velocity distribution, stable pressure boosting, and significantly reduced TKE intensity within impeller passages. Full article
Show Figures

Figure 1

Back to TopTop