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MHD Flow of Nanofluid with Homogeneous-Heterogeneous Reactions in a Porous Medium under the Influence of Second-Order Velocity Slip

Author

Listed:
  • Fahd Almutairi

    (Department of Chemical Engineering, Faculty of Engineering University of Tabuk, Tabuk 71491, Saudi Arabia)

  • S.M. Khaled

    (Department of Mathematics, Faculty of Sciences, Helwan University, Cairo 11795, Egypt
    Department of Studies and Basic Sciences, Faculty of Community, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Abdelhalim Ebaid

    (Department of Mathematics, Faculty of Sciences, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

Abstract

The influence of second-order velocity slip on the MHD flow of nanofluid in a porous medium under the effects of homogeneous-heterogeneous reactions has been analyzed. The governing flow equation is exactly solved and compared with those in the literature for the skin friction coefficient in the absence of the second slip, where great differences have been observed. In addition, the effects of the permanent parameters on the skin friction coefficient, the velocity, and the concentration have been discussed in the presence of the second slip. As an important result, the behavior of the skin friction coefficient at various values of the porosity and volume fraction is changed from increasing (in the absence of the second slip) to decreasing (in the presence of the second slip), which confirms the importance of the second slip in modeling the boundary layer flow of nanofluids. In addition, five kinds of nanofluids have been investigated for the velocity profiles and it is found that the Ag-water nanofluid is the lowest. For only the heterogeneous reaction, the concentration equation has been exactly solved, while the numerical solution is applied in the general case. Accordingly, a reduction in the concentration occurs with the strengthening of the heterogenous reaction and also with the increase in the Schmidt parameter. Moreover, the Ag-water nanofluid is of lower concentration than the Cu-water nanofluid. This is also true for the general case, when both of the homogenous and heterogenous reactions take place.

Suggested Citation

  • Fahd Almutairi & S.M. Khaled & Abdelhalim Ebaid, 2019. "MHD Flow of Nanofluid with Homogeneous-Heterogeneous Reactions in a Porous Medium under the Influence of Second-Order Velocity Slip," Mathematics, MDPI, vol. 7(3), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:220-:d:209228
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    References listed on IDEAS

    as
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    2. Mainak Majumder & Nitin Chopra & Rodney Andrews & Bruce Hinds, 2005. "Erratum: Nanoscale hydrodynamics: Enhanced flow in carbon nanotubes," Nature, Nature, vol. 438(7070), pages 930-930, December.
    3. Emad H. Aly & Abdelhalim Ebaid, 2013. "Exact Analytical Solution for Suction and Injection Flow with Thermal Enhancement of Five Nanofluids over an Isothermal Stretching Sheet with Effect of the Slip Model: A Comparative Study," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, October.
    4. Abdelhalim Ebaid & Fahd Al Mutairi & S. M. Khaled, 2014. "Effect of Velocity Slip Boundary Condition on the Flow and Heat Transfer of Cu-Water and TiO 2 -Water Nanofluids in the Presence of a Magnetic Field," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-9, August.
    5. Mainak Majumder & Nitin Chopra & Rodney Andrews & Bruce J. Hinds, 2005. "Enhanced flow in carbon nanotubes," Nature, Nature, vol. 438(7064), pages 44-44, November.
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