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Partial Slip Effects for Thermally Radiative Convective Nanofluid Flow

Author

Listed:
  • Remus-Daniel Ene

    (Department of Mathematics, Politehnica University of Timisoara, 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 partial slip effects for radiative convective nanofluid flow over a stretching sheet in porous medium are analytically explored in this work. The Navier–Stokes equations, the momentum and the energy equations are converted into a set of non-linear ODEs by the similarity transformation. Using the modified optimal homotopy asymptotic method (OHAM), the resulting non-linear ODEs are analytically approximately solved. The impact of various parameters, such as: the velocity exponential factor n , the wall thickness parameter γ , the dimensionless velocity slip parameter δ 1 , the Prandtl number P r , the radiation parameter R , and the dimensionless temperature jump parameter δ 2 , on the behaviour of the mass and heat transfer is presented. The influence of these parameters is tabular and graphically presented. An excellent agreement between the approximate analytical solution and the corresponding numerical solution is highlighted. The results obtained confirm that modified OHAM is a useful and competitive mathematical tool to explore a large class of non-linear problems with applications in various fields of science and engineering.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2199-:d:1140998
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    References listed on IDEAS

    as
    1. Vasile Marinca & Remus-Daniel Ene, 2014. "Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-11, March.
    2. 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.
    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.
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