On the MHD and slip flow over a rotating disk with heat transfer

Purpose – To study the steady magnetohydrodynamic (MHD) flow of a viscous, Newtonian and electrically conducting fluid over a rotating infinite disk with slip boundary condition.Design/methodology/approach – The governing equations, which are partial and coupled, are transformed to ordinary ones by utilizing the similarity variables introduced by Karman and the resulting equation system is solved by using differential transform method.Findings – It is observed that both the slip factor and the magnetic flux decrease the velocity in all directions and thicken the thermal boundary layer.Originality/value – This paper studies the combined effects of slip and magnetic flux to the flow and thermal fields over a rotating single free disk in an ambient fluid, which were never studied together before.

[1]  Knox T. Millsaps,et al.  Heat Transfer by Laminar Flow from a Rotating Plate , 1951 .

[2]  H. Andersson,et al.  MHD flow of a power-law fluid over a rotating disk , 2002 .

[3]  E. Osalusi,et al.  On MHD and slip flow over a rotating porous disk with variable properties , 2007 .

[4]  Ibrahim Özkol,et al.  Solution of boundary value problems for integro-differential equations by using differential transform method , 2005, Appl. Math. Comput..

[5]  H. Takhar,et al.  Unsteady mhd flow and heat transfer on a rotating disk in an ambient fluid , 2002 .

[6]  Chang Y. Wang,et al.  The flow due to a rough rotating disk , 2004 .

[7]  E. Osalusi,et al.  The effects of Ohmic heating and viscous dissipation on unsteady MHD and slip flow over a porous rotating disk with variable properties in the presence of Hall and ion-slip currents , 2007 .

[8]  M. Gad-el-Hak.  The Fluid Mechanics of Microdevices—The Freeman Scholar Lecture , 1999 .

[9]  Fatma Ayaz,et al.  Solutions of the system of differential equations by differential transform method , 2004, Appl. Math. Comput..

[10]  S. Momani,et al.  Application of generalized differential transform method to multi-order fractional differential equations , 2008 .

[11]  G. Bird.  Molecular Gas Dynamics and the Direct Simulation of Gas Flows , 1994 .

[12]  W. Cochran.  The flow due to a rotating disc , 1934, Mathematical Proceedings of the Cambridge Philosophical Society.

[13]  T. Kármán.  Über laminare und turbulente Reibung , 1921 .

[14]  J. L. Gregg,et al.  Heat transfer from a rotating disk to fluids of any prandtl number , 1959 .

[15]  P. Ariel.  Computation of flow of a second grade fluid near a rotating disk , 1997 .

[16]  Hazem Ali Attia,et al.  Unsteady MHD flow near a rotating porous disk with uniform suction or injection , 1998 .

[17]  E. R. Benton.  On the flow due to a rotating disk , 1966, Journal of Fluid Mechanics.