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

Author

Listed:
  • Remus-Daniel Ene

    (Department of Mathematics, Politehnica University of Timisoara, 2 Victoria Square, 300006 Timisoara, Romania
    These authors contributed equally to this work.)

  • Nicolina Pop

    (Department of Physical Foundations of Engineering, Politehnica University of Timisoara, 2 Vasile Parvan Blvd, 300223 Timisoara, Romania
    These authors contributed equally to this work.)

  • Rodica Badarau

    (Department of Mechanical Machines, Equipment and Transportation, Politehnica University of Timisoara, 1 Mihai Viteazul Blvd., 300222 Timisoara, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Remus-Daniel Ene & Nicolina Pop & Rodica Badarau, 2023. "Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions," Mathematics, MDPI, vol. 11(7), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1648-:d:1110643
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    References listed on IDEAS

    as
    1. Vasile Marinca & Remus-Daniel Ene & Bogdan Marinca & Romeo Negrea, 2014. "Different Approximations to the Solution of Upper-Convected Maxwell Fluid over a Porous Stretching Plate," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, July.
    2. Mohammad Almousa & Ahmad Ismail, 2013. "Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, July.
    3. Noor Saeed Khan & Taza Gul & Poom Kumam & Zahir Shah & Saeed Islam & Waris Khan & Samina Zuhra & Arif Sohail, 2019. "Influence of Inclined Magnetic Field on Carreau Nanoliquid Thin Film Flow and Heat Transfer with Graphene Nanoparticles," Energies, MDPI, vol. 12(8), pages 1-20, April.
    4. H. Ullah & S. Islam & M. Idrees & M. Arif, 2013. "Solution of Boundary Layer Problems with Heat Transfer by Optimal Homotopy Asymptotic Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, September.
    5. Ene, Remus-Daniel & Marinca, Vasile, 2015. "Approximate solutions for steady boundary layer MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 389-401.
    6. Livija Cveticanin, 2023. "Exact Closed-Form Solution for the Oscillator with a New Type of Mixed Nonlinear Restitution Force," Mathematics, MDPI, vol. 11(3), pages 1-11, January.
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