Abstract
An exact solution of the Navier-Stokes equation is constructed for the magnetohydrodynamic (MHD) flow. The flow is due to non-coaxially rotations of a porous disk with slip condition and a fluid at infinity. The solutions for steady and unsteady cases are obtained by Laplace transform method. The effects of magnetic field and slip parameters are shown and discussed.
Similar content being viewed by others
References
Pop I (1979) Unsteady flow due to non-coaxially rotating a disk and a fluid at infinity. Bull Tech Uni Ist 32: 14–18
Erdogan ME (1977) Flow due to non-coaxial rotations of a porous disk and a fluid at infinity. Rev Roum Mec Appl 22:171–178
Erdogan ME (2000) Flow induced by non-coaxial rotations of a disk executing non-torsional oscillations and a fluid at infinity. Int J Eng Sci 38:175–196
Erdogan ME (1997) Unsteady flow of a viscous fluid due to non-coaxial rotations of a disk and a fluid at infinity. Int J Non-linear Mech 12:285–290
Rajagopal KR (1992) Flow of vicoelastic fluids between rotating disks. Theor Comput Fluid Dynamics 3: 185–206
Kasiviswanathan SR, Ramachandra RA (1987) An unsteady flow due to eccentrically rotating porous disk and fluid at infinity. Int J Eng Sci 25:1419–1425
Ersoy HV (2003) Unsteady flow due to concentric rotation of eccentric rotating disk. Meccanica 38:325–334
Hayat T, Asghar S, Siddiqui AM, Haroon T (2001) Unsteady MHD flow due to non-coaxial rotations of a porous disk and a fluid at infinity. Acta Mech 151: 127–134
Hayat T, Asghar S, Siddiqui AM (1999) Unsteady flow of an oscillating porous disk and a fluid at infinity. Meccanica 34:259–265
Hayat T, Hameed MI, Asghar S, Siddiqui AM (2004) Some steady MHD flows of the second order fluid’, Meccanica. 39:345–355
Asghar S, Hanif K, Nadeem S, Hayat T (2004) Magnetohydrodynamic rotating flow of a second grade fluid with a given volume flow rate variation. Meccanica 39: 483–488
Soltani F, Yilmazar U (1998) Slip velocity and slip layer thickness in flow of concentrated suspensions. J Appl Polym Sci 70:515–522
Khaled ARA, Vafai K (2004) The effect of the slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions. Int J Non-Linear Mech 39:795–809
Gelfgat AYu, Bar-Yoseph PZ (2001) The effect of an external magnetic field on oscillatory instability of convective flows in a rectangular cavity. Phys of Fluids 13:2269–2278
Sutton GW, Sherman A (1973) Engineering magnetohydrodynamics. Mc Graw-Hill Book Co., New York
Abo-Eldahab EM, Salem AM (2004) MHD combined convection flow of a non-Newtonian power-law fluid due to a rotating cone or disk. Can J Phys 82: 531–540
Afify AA (2004) The effect of radiation on free convective flow and mass transfer past a vertical isothermal cone surface with chemical reation in the presence of a transverse magnetic field. Can J Phys 82:447–458
Ibrahim FS, Hassanien IA, Bakr AA (2004) Unsteady magnetohydrodynamic micropolar fluid flow and heat transfer over a vertical porous plate through a porous medium in the presence of thermal and mass diffusion with a constant heat source. Can J Phys 82: 775–790
Asghar S, Mohyuddin MR, Hayat T (2005) Effects of Hall current and heat transfer on flow due to a pull of eccentric rotating disks. Int. J Heat Mass Transfer 48:599–607
Hayat T, Ellahi R, Asghar S (2004) Unsteady periodic flows of a magnetohydrodynamic fluid due to rotations of a porous disk and a fluid at infinity. Math Computer Modelling 40:173–179
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Asghar, S., Hanif, K. & Hayat, T. The effect of the slip condition on unsteady flow due to non-coaxial rotations of disk and a fluid at infinity. Meccanica 42, 141–148 (2007). https://doi.org/10.1007/s11012-006-9027-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11012-006-9027-5