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Three-Dimensional Flow of an Oldroyd-B Nanofluid towards Stretching Surface with Heat Generation/Absorption

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  • Waqar Azeem Khan
  • Masood Khan
  • Rabia Malik

Abstract

This article addresses the steady three-dimensional flow of an Oldroyd-B nanofluid over a bidirectional stretching surface with heat generation/absorption effects. Suitable similarity transformations are employed to reduce the governing partial differential equations into coupled nonlinear ordinary differential equations. These nonlinear ordinary differential equations are then solved analytically by using the homotpy analysis method (HAM). Graphically results are presented and discussed for various parameters, namely, Deborah numbers and , heat generation/absorption parameter Prandtl parameter , Brownian motion parameters, thermophoresis parameter and Lewis number . We have seen that the increasing values of the Brownian motion parameter and thermophoresis parameter leads to an increase in the temperature field and thermal boundary layer thickness while the opposite behavior is observed for concentration field and concentration boundary layer thickness. To see the validity of the present work, the numerical results are compared with the analytical solutions obtained by Homotopy analysis method and noted an excellent agreement for the limiting cases.

Suggested Citation

  • Waqar Azeem Khan & Masood Khan & Rabia Malik, 2014. "Three-Dimensional Flow of an Oldroyd-B Nanofluid towards Stretching Surface with Heat Generation/Absorption," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-14, August.
    • Handle: RePEc:plo:pone00:0105107
    DOI: 10.1371/journal.pone.0105107
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    Citations

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    Cited by:

    1. S S Motsa & Z G Makukula & S Shateyi, 2015. "Numerical Investigation of the Effect of Unsteadiness on Three-Dimensional Flow of an Oldroyb-B Fluid," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-21, July.
    2. Ali, Mehboob & Khan, Waqar Azeem & Sultan, Faisal & Shahzad, Muhammad, 2020. "Numerical investigation on thermally radiative time-dependent Sisko nanofluid flow for curved surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    3. Arshad Khan & Wiyada Kumam & Imran Khan & Anwar Saeed & Taza Gul & Poom Kumam & Ishtiaq Ali, 2021. "Chemically reactive nanofluid flow past a thin moving needle with viscous dissipation, magnetic effects and hall current," PLOS ONE, Public Library of Science, vol. 16(4), pages 1-18, April.
    4. Ali, R. & Farooq, A. & Shahzad, A. & Benim, A.C. & Iqbal, A. & Razzaq, M., 2020. "Computational approach on three-dimensional flow of couple-stress fluid with convective boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    5. Waqas, Hassan & Imran, Muhammad & Hussain, Sajjad & Ahmad, Farooq & Khan, Ilyas & Nisar, Kottakkaran Sooppy & Almatroud, A. Othman, 2020. "Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 166-182.

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