MHD three-dimensional flow of Jeffrey fluid with Newtonian heating

The magnetohydrodynamic (MHD) three-dimensional flow of Jeffrey fluid in the presence of Newtonian heating is investigated. Flow is caused by a bidirectional stretching surface. Series solutions are constructed for the velocity and temperature fields. Convergence of series solutions is ensured graphically and numerically. The variations of key parameters on the physical quantities are shown and discussed in detail. Constructed series solutions are compared with the existing solutions in the limiting case and an excellent agreement is noticed. Nusselt numbers are computed with and without magnetic fields. It is observed that the Nusselt number decreases in the presence of magnetic field.

[1]  Chao-Yang Wang,et al.  The three‐dimensional flow due to a stretching flat surface , 1984 .

[2]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[3]  Haitao Qi,et al.  UNSTEADY HELICAL FLOWS OF A GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE , 2009 .

[4]  G. Domairry,et al.  Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder , 2009 .

[5]  Corina Fetecau,et al.  Helical flows of Maxwell fluid between coaxial cylinders with given shear stresses on the boundary , 2010 .

[6]  T. Hayat,et al.  Magnetohydrodynamic Flow and Mass Transfer of a Jeffery Fluid over a Nonlinear Stretching Surface , 2010 .

[7]  Yinnian He,et al.  Homotopy analysis method for higher-order fractional integro-differential equations , 2011, Comput. Math. Appl..

[8]  Wenchang Tan,et al.  Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium , 2011 .

[9]  Sébastien Poncet,et al.  Flow and heat transfer of a third grade fluid past an exponentially stretching sheet with partial slip boundary condition , 2011 .

[10]  T. Hayat,et al.  Flow of a second grade fluid with convective boundary conditions , 2011 .

[11]  Tasawar Hayat,et al.  Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium , 2011 .

[12]  O. Makinde,et al.  A numerical study of MHD generalized Couette flow and heat transfer with variable viscosity and electrical conductivity , 2011 .

[13]  Tasawar Hayat,et al.  Radiative flow of Jeffery fluid in a porous medium with power law heat flux and heat source , 2012 .

[14]  M. Jamil,et al.  Fractional magnetohydrodynamics Oldroyd-B fluid over an oscillating plate , 2013 .