S. Roy et G. Nath, NONUNIFORM SLOT INJECTION (SUCTION) OR WALL ENTHALPY INTO A STEADY NONSIMILAR COMPRESSIBLE LAMINAR BOUNDARY-LAYER, Acta mechanica, 103(1-4), 1994, pp. 45-61
Steady two-dimensional and axisymmetric compressible nonsimilar lamina
r boundary-layer flows with non-uniform slot injection (or suction) an
d non-uniform wall enthalpy have been studied from the starting point
of the streamwise co-ordinate to the exact point of separation. The ef
fect of different free stream Mach number has also been considered. Th
e finite discontinuities arising at the leading and trailing edges of
the slot for the uniform slot injection (suction) or wall enthalpy are
removed by choosing appropriate non-uniform slot injection (suction)
or wall enthalpy. The difficulties arising at the starting point of th
e streamwise co-ordinate, at the edges of the slot and at the point of
separation are overcome by applying the method of quasilinear implici
t finite difference scheme with an appropriate selection of finer step
size along the streamwise direction. It is observed that the non-unif
orm slot injection moves the point of separation downstream but the no
n-uniform slot suction has the reverse effect. The increase of Mach nu
mber shifts the point of separation upstream due to the adverse pressu
re gradient. The increase of total enthalpy at the wall causes the sep
aration to occur earlier while cooling delays it. The non-uniform tota
l enthalpy at the wall (i.e., the cooling or heating of the wall in a
slot) along the streamwise co-ordinate has very little effect on the s
kin friction and thus on the point of separation.