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

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 usin...

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Main Authors: Remus-Daniel Ene, Nicolina Pop, Rodica Badarau
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/7/1648
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author Remus-Daniel Ene
Nicolina Pop
Rodica Badarau
author_facet Remus-Daniel Ene
Nicolina Pop
Rodica Badarau
author_sort Remus-Daniel Ene
collection DOAJ
description 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.
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spelling doaj.art-794ba048762342c8859612a86a12482f2023-11-17T17:08:40ZengMDPI AGMathematics2227-73902023-03-01117164810.3390/math11071648Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate SolutionsRemus-Daniel Ene0Nicolina Pop1Rodica Badarau2Department of Mathematics, Politehnica University of Timisoara, 2 Victoria Square, 300006 Timisoara, RomaniaDepartment of Physical Foundations of Engineering, Politehnica University of Timisoara, 2 Vasile Parvan Blvd, 300223 Timisoara, RomaniaDepartment of Mechanical Machines, Equipment and Transportation, Politehnica University of Timisoara, 1 Mihai Viteazul Blvd., 300222 Timisoara, RomaniaThe 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.https://www.mdpi.com/2227-7390/11/7/1648Optimal Homotopy Asymptotic Methodboundary layer flowviscous fluid flowheat transferexponential stretching sheet
spellingShingle Remus-Daniel Ene
Nicolina Pop
Rodica Badarau
Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions
Mathematics
Optimal Homotopy Asymptotic Method
boundary layer flow
viscous fluid flow
heat transfer
exponential stretching sheet
title Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions
title_full Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions
title_fullStr Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions
title_full_unstemmed Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions
title_short Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions
title_sort heat and mass transfer analysis for the viscous fluid flow dual approximate solutions
topic Optimal Homotopy Asymptotic Method
boundary layer flow
viscous fluid flow
heat transfer
exponential stretching sheet
url https://www.mdpi.com/2227-7390/11/7/1648
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AT nicolinapop heatandmasstransferanalysisfortheviscousfluidflowdualapproximatesolutions
AT rodicabadarau heatandmasstransferanalysisfortheviscousfluidflowdualapproximatesolutions