A New Computational Technique Design for EMHD Nanofluid Flow Over a Variable Thickness Surface With Variable Liquid Characteristics

Muhammad Irfan,Tousif Iqra,Muhammad Asif Farooq

doi:10.3389/fphy.2020.00066

Muhammad Irfan, Tousif Iqra + Show 1 more

Open Access

https://doi.org/10.3389/fphy.2020.00066

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Abstract

The objective of paper comprises two key points: descriptive mathematical model for constant and variable fluid flows over a variable thickness sheet by inducting applied electric and magnetic fields, porosity, radiative heat transfer, heat generation/absorption and seeking their solution by constructing a novel numerical method, the Simplified Finite Difference Method (SFDM). We resort to similarity transformations to implicate partial differential equations (PDEs) into a set of ordinary differential equations (ODEs). Optimal results for a pair of ODEs obtained from SFDM are assessed by drawing a comparison with \emph{bvp4c} and existing literature values. SFDM has been implemented in MATLAB for both constant and variable fluid properties. Tabulated numerical values of the skin friction coefficient, local Nusselt and Sherwood numbers are measured and analyzed against different parameters. Influence of distinct parameters on velocity, temperature, and nanoparticles volume fraction have been explained in great detail via diagrams. The skin friction coefficient for variable fluid properties is greater than the constant fluid properties. However, the local Nusselt number is less for variable fluid properties when compare with constant fluid properties. Surprisingly, the high precision computational results are achieved from the SFDM.

Highlights

Fluid mechanics has many applications in contexts from the human biological system to the manufacturing industry
Patel [16] studied the effects of heat generation, thermal radiation, and Hall current on MHD Casson fluid flow past an osculating plate in a porous medium
Momentum boundary layer thickness grows with an increase in the electric field E1, whereas it decreases with increases in porosity parameter Kp and fluid viscosity parameter θr

Summary

INTRODUCTION

Fluid mechanics has many applications in contexts from the human biological system to the manufacturing industry. Mabood et al [12] investigated MHD boundary layer flow and heat transfer of nanofluid over a non-linear stretching sheet. Patel [16] studied the effects of heat generation, thermal radiation, and Hall current on MHD Casson fluid flow past an osculating plate in a porous medium. Narayana et al [25] discussed the effects of thermal radiation and a heat source on an MHD nanofluid past a vertical plate in a rotating system with a porous medium They used three different nanoparticles and showed that they enhance the heat transfer rate, a result that can be used in heat exchanger technology. Hayat et al [32] discussed mixed convection flow across a porous sheet and reported that the thermal boundary layer thickness is lowered with Pr. Reddy et al [33] probed the effect of variable thermal conductivity on MHD flow of nanofluid over a stretching sheet.

PROBLEM FORMULATION

Case B

NUMERICAL PROCEDURE

AND DISCUSSION

CONCLUSIONS