On Computation of MHD Flow Near a Rotating Disk

✍ Scribed by P. D. Ariel

• Publisher: John Wiley and Sons
• Year: 2002
• Tongue: English
• Weight: 189 KB
• Volume: 82
• Category: Article
• ISSN: 0044-2267
• DOI: 10.1002/1521-4001(200204)82:4<235::aid-zamm235>3.0.co;2-l

✦ Synopsis

On Computation of MHD Flow Near a Rotating Disk

The steady laminar flow of an incompressible, viscous, electrically conducting fluid near a rotating disk in the presence of a transverse magnetic field has been computed. Using von K a arm a an transformation the equations of motion have been reduced to a boundary value problem (BVP) characterized by a dimensionless number m, which measures the relative importance of magnetic field. The solution is obtained in terms of series of exponentially decaying functions, the convergence of which improves as the value of m is increased. Also presented are (i) a perturbation solution valid for small m, (ii) an asymptotic solution valid for large m, and (iii) an approximate solution, based on stretching of the independent variable and minimization of the residuals of differential equations, which is valid for all values of m. A comparison has been made with the exact solution and appropriate conclusions drawn.