Three dimensional magnetohydrodynamic flow between two porous disks

✍ Scribed by Chandrasekhara, B. C. ;Rudraiah, N.

• Publisher: Springer
• Year: 1972
• Tongue: English
• Weight: 482 KB
• Volume: 25
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00382294

✦ Synopsis

This is a study of conducting flow in the gap between two parallel co-axial nonconducting disks of which one is rotating and the other stationary in the presence of a uniform axial magnetic field. The effect of uniform suction or injection on the velocity distribution is investigated and asymptotic solutions are obtained for R ~ M~. Expressions for the average normal force and the torque on the disks are obtained. We find that all components of velocity are affected by uniform suction or injection and in particular we note that the effect of suction or injection on the radial component of velocity predominates over the effect of rotation for a given Hartmann number.

Nomenclature

B0 impressed uniform magnetic field C; pressure coefficient Er radial component of electric field Ez axial component of electric field Eo azimuthal component of electric field /(~) function defined in (21) g($) function defined in (21) 2h channel width Jr radial component of current density Jz axial component of current density Jo azimuthal component of current density K constant defined in (45) M Hartmann number, Boh(a/pv)~ N perturbation parameter, M2/R /~ pressure q velocity vector R suction Reynolds number, Uh/v RI rotation Reynolds number, Qh2/v