IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i7p1648-d1110643.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/7/1648/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/7/1648/
    Download Restriction: no
    ---><---

    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. 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.
    4. 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.
    5. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Remus-Daniel Ene & Nicolina Pop & Rodica Badarau, 2023. "Partial Slip Effects for Thermally Radiative Convective Nanofluid Flow," Mathematics, MDPI, vol. 11(9), pages 1-28, May.
    2. Badday, Alaa Jabbar & Harfash, Akil J., 2022. "Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    3. Marcin Kremieniewski, 2020. "Influence of Graphene Oxide on Rheological Parameters of Cement Slurries," Energies, MDPI, vol. 13(20), pages 1-15, October.
    4. Kohilavani Naganthran & Ishak Hashim & Roslinda Nazar, 2020. "Triple Solutions of Carreau Thin Film Flow with Thermocapillarity and Injection on an Unsteady Stretching Sheet," Energies, MDPI, vol. 13(12), pages 1-17, June.
    5. Rustem Kashaev & Nguyen Duc Ahn & Valeriya Kozelkova & Oleg Kozelkov & Valentin Dudkin, 2023. "Online Multiphase Flow Measurement of Crude Oil Properties Using Nuclear (Proton) Magnetic Resonance Automated Measurement Complex for Energy Safety at Smart Oil Deposits," Energies, MDPI, vol. 16(3), pages 1-16, January.
    6. Yasir Nawaz & Muhammad Shoaib Arif & Wasfi Shatanawi & Amna Nazeer, 2021. "An Explicit Fourth-Order Compact Numerical Scheme for Heat Transfer of Boundary Layer Flow," Energies, MDPI, vol. 14(12), pages 1-17, June.
    7. Ali Rehman & Zabidin Salleh & Taza Gul & Zafar Zaheer, 2019. "The Impact of Viscous Dissipation on the Thin Film Unsteady Flow of GO-EG/GO-W Nanofluids," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
    8. Chu, Yu-Ming & Ullah, Saif & Ali, Muzaher & Tuzzahrah, Ghulam Fatima & Munir, Taj, 2022. "Numerical Investigation of Volterra Integral Equations of Second Kind using Optimal Homotopy Asymptotic Method," Applied Mathematics and Computation, Elsevier, vol. 430(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1648-:d:1110643. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.