BICONVEX THIN AIRFOILS IN PERFECTLY CONDUCTING INCOMPRESSIBLE FLUIDS ORTHOGONAL TO A UNIFORM MAGNETIC FIELD

Document Type : Original Article

Author

Associate Professor,Department of Engineering Mathematics and Physics. Faculty of Engineering,Alexandria University, Alexandria, EGYPT.

Abstract

This paper treats an incompressible,inviscid,steady,and perfect electrically conducting fluid past a cylindrical body whose cross-section represents a biconvex thin non-conducting airfoil in such a position that its chord is assumed to be parallel to the flow direction. A uniform magnetic field is applied in the orthogonal direction to the direction of the flow. All the flow and magnetic field variables are assumed to differ by small amounts from their undisturbed values due to the presence of the thin airfoil. The main purposes on this problem are to illustrate the effect of the biconvex thin airfoils on all the flow and magnetic field variables as well as the effect of the number "m",which measures the ratio of the undisturbed fluid to the speed of the Alfven waves,on the same variables. Flow and magnetic field quantities,at the body surface,such as speed,pressure coefficient,magnetic field intensity,lift force,and drag force are obtained in terms of the number"m". The effects of the thin airfoil and the number "m" on the flow and magnetic field quantities have been discussed.