Page 442 - Introduction to Continuum Mechanics
P. 442
426 Newtonian Viscous Fluid
6.50. Show that for a one-dimensional, steady, adiabatic flow of an ideal gas, the ratio of
at
temperature #i/#2 sections (1) and (2) is given by
where y is the ratio of specific heat, MI and MI are local Mach numbers at section 1 and 2
respectively.
6.51. Show that for a compressible fluid in isothermal flow with no external work,
where M is the Mach number. (Assume perfect gas.)
6.52. Show that for a perfect gas flowing through a constant area duct at constant temperature
conditions.
6.53. For the flow of a compressible inviscid fluid around a thin body in a uniform stream of
speed V m in the Xi - direction, we let the velocity potential be
where <PI is assumed to be very small. Show that for steady flow the equation governing ^is,
withM 0 = F 0/c 0
