New Exact Solutions for MHD Transient Rotating Flow of a Second-Grade Fluid in a Porous Medium

The magnetohydrodynamic (MHD) and rotating flow of second-grade fluid over a suddenly moved flat plate is investigated, where the second-grade fluid saturates the porous medium. The new exact solution is derived by using the Fourier sine and Laplace transforms. Many interesting available results in the literature are obtained as limiting cases of our solution. Finally, some graphical results are presented for different values of the material constants.

[1]  C. Erdem İmrak,et al.  On unsteady unidirectional flows of a second grade fluid , 2005 .

[2]  P. Puri,et al.  Rotating flow of non-newtonian fluids , 1974 .

[3]  Tasawar Hayat,et al.  Steady MHD flow of a third grade fluid in a rotating frame and porous space , 2009 .

[4]  Tasawar Hayat,et al.  Energetic balance for the Rayleigh–Stokes problem of an Oldroyd-B fluid , 2011 .

[5]  Tasawar Hayat,et al.  Couette flow of a third grade fluid with rotating frame and slip condition , 2009 .

[6]  K. Rajagopal,et al.  On a class of exact solutions to the equations of motion of a second grade fluid , 1981 .

[7]  P. Puri.  Rotating Flow of an Elastico-Viscous Fluid on an Oscillating Palte , 1974 .

[8]  Tasawar Hayat,et al.  Unsteady Couette flows in a second grade fluid with variable material properties , 2009 .

[9]  B. Sahoo.  Effects of partial slip, viscous dissipation and Joule heating on Von Kármán flow and heat transfer of an electrically conducting non-Newtonian fluid , 2009 .

[10]  T. Hayat,et al.  Analytic solution for MHD Transient rotating flow of a second grade fluid in a porous space , 2008 .

[11]  Tasawar Hayat,et al.  A numerical study of the influence of slip boundary condition on rotating flow , 2007 .

[12]  Tasawar Hayat,et al.  Oscillatory flows of second grade fluid in a porous space , 2010 .

[13]  Tasawar Hayat,et al.  Exact solutions of starting flows for second grade fluid in a porous medium , 2008 .

[14]  M. Khan,et al.  Unsteady flow of an Oldroyd-B fluid induced by the impulsive motion of a plate between two side walls perpendicular to the plate , 2008 .

[15]  Sohail Nadeem,et al.  Fluctuating flow of a third-grade fluid on a porous plate in a rotating medium , 2001 .

[16]  Bikash Sahoo.  Effects of slip on steady Bödewadt flow and heat transfer of an electrically conducting non-Newtonian fluid , 2011 .

[17]  Tasawar Hayat,et al.  Flow induced by non-coaxial rotation of a porous disk executing non-torsional oscillations and a second grade fluid rotating at infinity , 2004 .

[18]  Changfeng Xue,et al.  Exact solutions of the Rayleigh–Stokes problem for a heated generalized second grade fluid in a porous half-space , 2009 .

[19]  Tasawar Hayat,et al.  The influence of Hall current in a circular duct , 2010 .

[20]  Kumbakonam R. Rajagopal,et al.  Start-up flows of second grade fluids in domains with one finite dimension , 1995 .

[21]  Tasawar Hayat,et al.  MHD flows of an Oldroyd-B fluid , 2002 .

[22]  Wenchang Tan,et al.  Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary , 2005 .

[23]  J. Zierep,et al.  Energetic balance for the Rayleigh–Stokes problem of a second grade fluid , 2007 .

[24]  Tasawar Hayat,et al.  Unsteady flow of a second grade fluid between two side walls perpendicular to a plate , 2008 .

[25]  Yao-hua Zhao,et al.  The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model , 2006 .

[26]  Mehmet Pakdemirli,et al.  Lie group analysis of creeping flow of a second grade fluid , 2001 .

[27]  P. D. Ariel,et al.  A numerical algorithm for computing the stagnation point flow of a second grade fluid with/without suction , 1995 .