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Keywords = Cattaneo–Christov heat flux theory

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25 pages, 7408 KiB  
Article
Electromagnetic Control and Dynamics of Generalized Burgers’ Nanoliquid Flow Containing Motile Microorganisms with Cattaneo–Christov Relations: Galerkin Finite Element Mechanism
by Faisal Shahzad, Wasim Jamshed, Tanveer Sajid, MD. Shamshuddin, Rabia Safdar, S. O. Salawu, Mohamed R. Eid, Muhammad Bilal Hafeez and Marek Krawczuk
Appl. Sci. 2022, 12(17), 8636; https://doi.org/10.3390/app12178636 - 29 Aug 2022
Cited by 25 | Viewed by 1934
Abstract
In our research work, we have developed a model describing the characteristics of the bio-convection and moving microorganisms in the flows of a magnetized generalized Burgers’ nanoliquid with Fourier’s and Fick’s laws in a stretchable sheet. Considerations have been made to Cattaneo–Christov mass [...] Read more.
In our research work, we have developed a model describing the characteristics of the bio-convection and moving microorganisms in the flows of a magnetized generalized Burgers’ nanoliquid with Fourier’s and Fick’s laws in a stretchable sheet. Considerations have been made to Cattaneo–Christov mass and heat diffusion theory. According to the Cattaneo–Christov relation, the Buongiorno phenomenon for the motion of a nanoliquid in the generalized Burgers’ fluid has also been applied. Similarity transformations have been used to convert the control system of the regulating partial differential equations (PDEs) into ordinary differential equations (ODEs). The COMSOL software has been applied to obtain mathematical results of non-linear equations via the Galerkin finite element method (G-FEM). Logical and graphical measurements for temperature, velocity, and microorganisms analysis have also been examined. Moreover, nanoparticle concentrations have been achieved by examining different approximations of obvious physical parameters. Computations of this model show that there is a direct relationship among the temperature field and thermal Biot number and parameter of the generalized Burgers’ fluid. The temperature field is increased to grow the approximations of the thermal Biot number and parameter of generalized Burgers’ fluid. It is reasonable to deduce that raising the chemical reaction parameter and concentricity relaxation parameter or decreasing the Prandtl number, concentricity Biot quantity, and active energy parameter can significantly increase the nanoparticles concentration dispersion. Full article
(This article belongs to the Special Issue Smart Materials for Control of Structural Dynamics)
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24 pages, 5687 KiB  
Article
3-D Flow of Magnetic Rotating Hybridizing Nanoliquid in Parabolic Trough Solar Collector: Implementing Cattaneo-Christov Heat Flux Theory and Centripetal and Coriolis Forces
by Mohamed R. Eid
Mathematics 2022, 10(15), 2605; https://doi.org/10.3390/math10152605 - 26 Jul 2022
Cited by 25 | Viewed by 2323
Abstract
Current research proposes a model for assessing the flow properties and heat transmission from hybridized nanofluids to solar collectors (SCs). A theoretical investigation that was based on the application of alumina-water (Al2O3-H2O) conventional nanofluid and copper/alumina-water (Cu-Al [...] Read more.
Current research proposes a model for assessing the flow properties and heat transmission from hybridized nanofluids to solar collectors (SCs). A theoretical investigation that was based on the application of alumina-water (Al2O3-H2O) conventional nanofluid and copper/alumina-water (Cu-Al2O3/H2O) hybrid nanofluid has been considered between two rotating plates in parabolic trough solar collector (PTSC). The Cattaneo–Christov model (CCM) for heat fluxing is used for the thermal boundary layer analysis. The impact of centripetal and Coriolis forces on the swirling flow has been considered. Adequate transformations are utilised for the conversion of the regulating partial differential equations (PDEs) into a group of dimensionless ordinary differential equations (ODEs). Dimensionless ODEs are then tackled by the Keller box method (KBM) in the MATLAB program. The basic concept of this study is to inspect the influences of change in substantial factors on velocities, temperature, and heat transmission rate for both Al2O3-H2O mono nanofluid (MNF) and Cu-Al2O3/H2O hybridized nanofluid (HBNF). The striking feature of the investigation is that the hybrid nanofluid Cu-Al2O3/H2O has a less frictional force and an elevated heat transmission rate (RHT) as assessed with the traditional nanoliquid Al2O3-H2O. Consequently, the rotating factor slows RHT on the surface. In this case study, HBNF is better than the mono NF as a thermal and electrical conductor. Full article
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17 pages, 2528 KiB  
Article
Exploration of Darcy–Forchheimer Flows of Non-Newtonian Casson and Williamson Conveying Tiny Particles Experiencing Binary Chemical Reaction and Thermal Radiation: Comparative Analysis
by Sheniyappan Eswaramoorthi, S. Thamaraiselvi and Karuppusamy Loganathan
Math. Comput. Appl. 2022, 27(3), 52; https://doi.org/10.3390/mca27030052 - 20 Jun 2022
Cited by 16 | Viewed by 2773
Abstract
This discussion intends to scrutinize the Darcy–Forchheimer flow of Casson–Williamson nanofluid in a stretching surface with non-linear thermal radiation, suction and heat consumption. In addition, this investigation assimilates the influence of the Brownian motion, thermophoresis, activation energy and binary chemical reaction effects. Cattaneo–Christov [...] Read more.
This discussion intends to scrutinize the Darcy–Forchheimer flow of Casson–Williamson nanofluid in a stretching surface with non-linear thermal radiation, suction and heat consumption. In addition, this investigation assimilates the influence of the Brownian motion, thermophoresis, activation energy and binary chemical reaction effects. Cattaneo–Christov heat-mass flux theory is used to frame the energy and nanoparticle concentration equations. The suitable transformation is used to remodel the governing PDE model into an ODE model. The remodeled flow problems are numerically solved via the BVP4C scheme. The effects of various material characteristics on nanofluid velocity, nanofluid temperature and nanofluid concentration, as well as connected engineering aspects such as drag force, heat, and mass transfer gradients, are also calculated and displayed through tables, charts and figures. It is noticed that the nanofluid velocity upsurges when improving the quantity of Richardson number, and it downfalls for larger magnitudes of magnetic field and porosity parameters. The nanofluid temperature grows when enhancing the radiation parameter and Eckert number. The nanoparticle concentration upgrades for larger values of activation energy parameter while it slumps against the reaction rate parameter. The surface shear stress for the Williamson nanofluid is greater than the Casson nanofluid. There are more heat transfer gradient losses the greater the heat generation/absorption parameter and Eckert number. In addition, the local Sherwood number grows when strengthening the Forchheimer number and fitted rate parameter. Full article
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