Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions

Remus-Daniel Ene, Nicolina Pop () and Rodica Badarau
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Remus-Daniel Ene: Department of Mathematics, Politehnica University of Timisoara, 2 Victoria Square, 300006 Timisoara, Romania
Nicolina Pop: Department of Physical Foundations of Engineering, Politehnica University of Timisoara, 2 Vasile Parvan Blvd, 300223 Timisoara, Romania
Rodica Badarau: Department of Mechanical Machines, Equipment and Transportation, Politehnica University of Timisoara, 1 Mihai Viteazul Blvd., 300222 Timisoara, Romania

Mathematics, 2023, vol. 11, issue 7, 1-22

Abstract: The aim of this paper is to investigate effective and accurate dual analytic approximate solutions, while taking into account thermal effects. The heat and mass transfer problem in a viscous fluid flow are analytically explored by using the modified Optimal Homotopy Asymptotic Method (OHAM). By using similarity transformations, the motion equations are reduced to a set of nonlinear ordinary differential equations. Based on the numerical results, it was revealed that there are dual analytic approximate solutions within the mass transfer problem. The variation of the physical parameters (the Prandtl number and the temperature distribution parameter) over the temperature profile is analytically explored and graphically depicted for the first approximate and the corresponding dual solution, respectively. The advantage of the proposed method arises from using only one iteration for obtaining the dual analytical solutions. The presented results are effective, accurate and in good agreement with the corresponding numerical results with relevance for further engineering applications of heat and mass transfer problems.

Keywords: Optimal Homotopy Asymptotic Method; boundary layer flow; viscous fluid flow; heat transfer; exponential stretching sheet (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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