Vol.2, No 10, 2000 pp. 1233-1241
UDC 532.51:532.526
GENERAL SIMILARITY METHOD FOR UNSTEADY MHD FREE CONVECTION PROBLEMS ON THE VERTICAL WALL
Viktor Saljnikov 1, Zoran Boričić 2, Dragiša Nikodijević 2
1 Faculty of Mechanical Engineering - Beograd
2 Faculty of Mechanical Engineering, University of Niš, Yugoslavia

Abstract. The paper is concerned with the nonstationary free convection near the heated vertical wall with an arbitrary temperature distribution or thermal flux. The present external magnetic field is homogenous and perpendicular to the wall. The problem has been considered in Busineski's approximation. By using the general similarity method and introducing three sets of parameters a system of two universal equations is obtained. Along with the universal equations, two integral equations of the observed problem have been obtained. The system of universal equations has been solved in a determined approximation in this paper. A part of the results obtained in the paper is given in the form of diagrams.

METODA UOPŠTENE SLIČNOSTI ZA NESTACIONARNE MHD PROBLEME SLOBODNE KONVENCIJE NA VERTIKALNOM ZIDU
Ovaj rad se bavi nestacionarnim MHD problemima slobodne konvekcije u blizini zagrejanog zida sa proizvoljnim rasporedom temperature, odnosno toplotnog fluksa. Spoljašnje magnetno polje je homogeno i upravno na zid. Problem je razmatran u Busineskovoj aproksimaciji. Korišćenjem metode uopštene sličnosti i uvođenjem tri skupa parametara dobijen je sistem univerzalnih jednačina. Pored univerzalnih jednačina u radu su izvedene i dve integralne jednačine razmatranog problema. Sistem univerzalnih jednačina rešavan je metodom konačnih razlika. Deo dobijenih rezultata predstavljen je u obliku dijagrama.