Rarefied MHD laminar radial channel flow

✍ Scribed by Khader, M. S. ;Goodling, J. S. ;Vachon, R. I.

• Publisher: Springer
• Year: 1974
• Tongue: English
• Weight: 539 KB
• Volume: 30
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00386066

✦ Synopsis

The steady axisymmetrical laminar flow of slightly rarefied electrically conducting gas between two circular parallel disks in the presence of a transverse magnetic field is analytically investigated. A solution is obtained by expanding the velocity and the pressure distribution in terms of a power series of 1/r. The effect of rare-faction is taken to be manifested by slip of the velocity at the boundary. Velocity, induced magnetic field, pressure and shear stress distributions are determined and compared with the case of no rarefaction.

Nomenclature

b outer radius of channel Cf skin friction coefficient, "vw/(pQ2/t 4) Ho impressed magnetic field H* induced magnetic field in the radial direction Hr induced dimensionless magnetic field in the radial direction, Hr/Ho M Hartmann number, t~Hot(a/pv)~ P dimensionless static pressure, ,P*t4/pQ 2 P* static pressure P~ dimensionless pressure at outer radius of channel P0 reference dimensionless pressure Q source discharge R gas constant Rm magnetic Reynolds number, a#Q/t Re Reynolds nmnber, Q/vt