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.