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Open AccessArticle

Homotopy Semi-Numerical Modeling of Non-Newtonian Nanofluid Transport External to Multiple Geometries Using a Revised Buongiorno Model

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Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj 211004, India
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Department of Mechanical and Aeronautical Engineering, Salford University, Salford M54WT, UK
3
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH 44115-2214, USA
4
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
*
Authors to whom correspondence should be addressed.
Inventions 2019, 4(4), 54; https://doi.org/10.3390/inventions4040054
Received: 20 August 2019 / Revised: 16 September 2019 / Accepted: 20 September 2019 / Published: 25 September 2019
(This article belongs to the Special Issue Recent Trends in Nanofluids)
A semi-analytical solution for the convection of a power-law nanofluid external to three different geometries (i.e., cone, wedge and plate), subject to convective boundary condition is presented. A revised Buongiorno model is employed for the nanofluid transport over the various geometries with variable wall temperature and nanoparticle concentration conditions (non-isothermal and non-iso-solutal). Wall transpiration is included. The dimensional governing equations comprising the conservation of mass, momentum, energy and nanoparticle volume fraction are transformed to dimensionless form using appropriate transformations. The transformed equations are solved using a robust semi-analytical power series method known as the Homotopy analysis method (HAM). The convergence and validation of the series solutions is considered in detail. The variation of order of the approximation and computational time with respect to residual errors for temperature for the different geometries is also elaborated. The influence of thermophysical parameters such as wall temperature parameter, wall concentration parameter for nanofluid, Biot number, thermophoresis parameter, Brownian motion parameter and suction/blowing parameter on the velocity, temperature and nanoparticle volume fraction is visualized graphically and tabulated. The impact of these parameters on the engineering design functions, e.g., coefficient of skin fraction factor, Nusselt number and Sherwood number is also shown in tabular form. The outcomes are compared with the existing results from the literature to validate the study. It is found that thermal and solute Grashof numbers both significantly enhance the flow velocity whereas they suppress the temperature and nanoparticle volume fraction for the three different configurations, i.e., cone, wedge and plate. Furthermore, the thermal and concentration boundary layers are more dramatically modified for the wedge case, as compared to the plate and cone. This study has substantial applications in polymer engineering coating processes, fiber technology and nanoscale materials processing systems. View Full-Text
Keywords: power-law nanofluids; Brownian motion; thermophoresis; Grashof number; Biot number; homotopy analysis method; non-isothermal; non-iso-solutal; nano-polymer coatings power-law nanofluids; Brownian motion; thermophoresis; Grashof number; Biot number; homotopy analysis method; non-isothermal; non-iso-solutal; nano-polymer coatings
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MDPI and ACS Style

Ray, A.K.; Vasu, B.; Bég, O.A.; Gorla, R.S.; Murthy, P. Homotopy Semi-Numerical Modeling of Non-Newtonian Nanofluid Transport External to Multiple Geometries Using a Revised Buongiorno Model. Inventions 2019, 4, 54.

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