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

Abstract

The objective of this paper comprises two key aspects: to establish descriptive mathematical models for constant and variable fluid flows over a variable thickness sheet by inducting applied electric and magnetic fields, porosity, radiative heat transfer, and heat generation/absorption, and to seek 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 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 and local Nusselt and Sherwood numbers are measured and analyzed against different parameters. The influence of distinct parameters on velocity, temperature, and nanoparticle volume fraction are explained in great detail via diagrams. The skin friction coefficient for variable fluid properties is greater than for constant fluid properties. However, the local Nusselt number is lower for variable fluid properties than with constant fluid properties. Surprisingly, high-precision computational results are achieved from the SFDM.

A Simplified Finite Difference Method (SFDM) for EMHD Powell–Eyring Nanofluid Flow Featuring Variable Thickness Surface and Variable Fluid Characteristics

“…e simplified finite difference method (SFDM) has been introduced in [45]. is scheme is motivated from the work by Na [46].…”

“…Variable fluid property analysis is uncommon with variable sheet thickness. e current work is an extension of the work presented in Irfan et al [45] where the Newtonian nanofluid is considered. To the best of the authors' knowledge, no research has been done on the Powell-Eyring nanofluid with constant and variable fluid properties together.…”

“…After incorporating aforementioned fluid flow assumptions in the following equations of motion, we get [45]…”

“…However, all the details for these variables have been omitted for brevity. e reader is referred to [45] for further details on the SFDM. Since the SFDM results for both constant and variable fluid properties have been discussed in detail in [45], in the current work, only Table 2 is produced from the SFDM to compare accuracy with the literature.…”

On Generalized Fourier’s and Fick’s Laws in Bio-Convection Flow of Magnetized Burgers’ Nanofluid Utilizing Motile Microorganisms

“…Khan et al [6] analyzed the conservation-based performance evaluation of hybrid nanoliquid-assisted composite materials. Irfan et al [7] researched the movement of EMHD nanoliquids over fixed thickness sheets. Reddy et al [8] analyzed the movement of chemically reacting stagnation point Powell-Eyring nanoliquids flowing through an inclined cylinder subject to energy activation and Cattaneo-Christov heat transfer.…”