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Influence of a Partial Slip on Flows of a Second Grade Fluid in a Porous Medium

Volume 10, Issue 8, 2007, pp. 797-805
DOI: 10.1615/JPorMedia.v10.i8.50
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ABSTRACT

In this article, exact analytical solutions for general periodic flows of a second grade fluid are obtained in the presence of partial slip and a porous medium. Three types of flow problems are considered. The exact solutions of the flow problems are obtained using Fourier transform treatment. Moreover, some flows generated by certain special oscillations are also included in each case. It is found that the velocity profile is of the wave nature and that amplitude of the wave decreases when the partial slip parameter increases.

CITED BY
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  2. Pakdemirli Mehmet, Aksoy Yiğit, Yürüsoy Muhammet, Khalique Chaudry Masood, Symmetries of boundary layer equations of power-law fluids of second grade, Acta Mechanica Sinica, 24, 6, 2008. Crossref

  3. Mahmoud Mostafa A. A., Chemical reaction and variable viscosity effects on flow and mass transfer of a non-Newtonian visco-elastic fluid past a stretching surface embedded in a porous medium, Meccanica, 45, 6, 2010. Crossref

  4. Ellahi R., Hayat T., Mahomed F. M., Zeeshan A., Fundamental flows with nonlinear slip conditions: exact solutions, Zeitschrift für angewandte Mathematik und Physik, 61, 5, 2010. Crossref

  5. Ellahi R., Hayat T., Mahomed F.M., Zeeshan A., Exact solutions for flows of an Oldroyd 8-constant fluid with nonlinear slip conditions, Communications in Nonlinear Science and Numerical Simulation, 15, 2, 2010. Crossref

  6. Hayat T., Naz Rahila, Abbasbandy S., Poiseuille Flow of a Third Grade Fluid in a Porous Medium, Transport in Porous Media, 87, 2, 2011. Crossref

  7. Wang Shaowei, Tan Wenchang, Stability analysis of double-diffusive convection of Maxwell fluid in a porous medium heated from below, Physics Letters A, 372, 17, 2008. Crossref

  8. Mahmoud Mostafa A.A., Waheed Shimaa E., MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity, Journal of the Egyptian Mathematical Society, 20, 1, 2012. Crossref

  9. Baoku I.G., Olajuwon B.I., Mustapha A.O., Heat and mass transfer on a MHD third grade fluid with partial slip flow past an infinite vertical insulated porous plate in a porous medium, International Journal of Heat and Fluid Flow, 40, 2013. Crossref

  10. Mekheimer Kh.S., Salem A.M., Zaher A.Z., Peristatcally induced MHD slip flow in a porous medium due to a surface acoustic wavy wall, Journal of the Egyptian Mathematical Society, 22, 1, 2014. Crossref

  11. Hassan Hany, Mehdi Rashidi Mohammad, An analytic solution of micropolar flow in a porous channel with mass injection using homotopy analysis method, International Journal of Numerical Methods for Heat & Fluid Flow, 24, 2, 2014. Crossref

  12. Lashkarboluki Amirreza, Hosseini Hamed, Ganji Davood Dimiri, Investigating the Solutions of Two Classical Nonlinear Oscillators by the AG Method, International Journal of Applied and Computational Mathematics, 7, 3, 2021. Crossref

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