Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Mathematical Analysis of Heat and Mass Transfer for Williamson Nanofluid Flow Over an Exponentially Stretching Surface Subject to the Exponential Order Surface Temperature and Heat Flux

Version 1 : Received: 31 March 2021 / Approved: 1 April 2021 / Online: 1 April 2021 (12:19:59 CEST)

How to cite: Badshah, Z.; Ali, R.; Khan, M.R. Mathematical Analysis of Heat and Mass Transfer for Williamson Nanofluid Flow Over an Exponentially Stretching Surface Subject to the Exponential Order Surface Temperature and Heat Flux. Preprints 2021, 2021040015 (doi: 10.20944/preprints202104.0015.v1). Badshah, Z.; Ali, R.; Khan, M.R. Mathematical Analysis of Heat and Mass Transfer for Williamson Nanofluid Flow Over an Exponentially Stretching Surface Subject to the Exponential Order Surface Temperature and Heat Flux. Preprints 2021, 2021040015 (doi: 10.20944/preprints202104.0015.v1).

Abstract

This article investigates the features of heat and mass transfer for the steady two-dimensional Williamson nanofluid flow across an exponentially stretched surface depending on suction/injection. The boundary conditions incorporate the impacts of the Brownian motion and thermophoresis boundary. The analysis of heat transfer is carried out for the two cases of prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux (PEHF). The ongoing flow problem is mathematically modeled under the basic laws of motion and heat transfer. The similarity variables are allowed to transmute the governing equations of the problem into a similarity ordinary differential equation (ODEs). The solution of this reduced non-linear system of ODEs is supported by the Homotopy analysis method (HAM). The combination of HAM arrangements is acquired by plotting the h-curve. In order to evaluate the influence of several emergent parameters, the outcomes are presented numerically and are plotted diagrammatically as a consequence of velocity, temperature and concentration pro les.

Keywords

Heat transfer; Williamson fluid; Homotopy analysis method; exponential stretching; MHD; suction/injection

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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