Vol.2, No 9, 1999 pp. 965-972
UDC: 532.517.4
PARAMETRIC
METHOD IN THE THEORY
OF NON-STATIONARY
AXISYMMETRICAL
MHD BOUNDARY
LAYER ON A ROTARY BODY
Zoran B. Boričić, Dragiša D.
Nikodijević, Dragica R. Milenković
Faculty of Mechanical Engineering, Beogradska
14, 18 000 Niš, Yugoslavia
Abstract. The paper discusses axisymmetrical
non-stationary MHD boundary layer on a rotary body. Firstly, the Mangler-Stepan
transformations are enlarged; it has been shown that equations of the axisymmetrical
problems are reduced to equations of the respective plane problem. Then,
with the use of the parametric method, the universal equation which turns
out to be identical to the universal equation of the respective plane problem
or plane analogy, is obtained. It has practically been shown that the solutions
for plane non-stationary MHD boundary layer can be used for solving axisymmetrical
problems of non-stationary MHD boundary layer on a rotary body.
PARAMETARSKA
METODA U TEORIJI
NESTACIONARNOG
OSNOSIMETRIČNOG MHD
GRANIČNOG SLOJA
NA OBRTNOM TELU
U radu se razmatra osnosimetrični nestacionarni
MHD granični sloj na obrtnim telima. Prvo je izvršeno proširenje Mangler-Stepanovih
transformacija i pokazano da se jednačine osnosimetričnog problema svode
na jednačine odgovarajućeg ravanskog problema. Zatim je korišćenjem parametarske
metode dobijena univerzalna jednačina koja se poklapa sa univerzalnom jednačinom
odgovarajućeg ravanskog problema - ravanske analogije. Praktično je pokazano
da se za rešavanje osnosimetričnog problema nestacionarnog MHD graničnog
sloja na obrtnom telu mogu koristiti rešenja ravanskog nestacionarnog MHD
graničnog sloja.
