This paper describes the results of a detailed experimental investigation of a two-dimensional turbulent boundary layer in a favorable pressure gradient where the freestream Mach number varied from 3.8 to 4.6; the ratio of wall to adiabatic wall temperature remained constant at a value of 0.82. Detailed profile measurements were made with pressure and temperature probes; skin friction was measured directly with a shear balance. The velocity and temperature profile results are compared with zero pressure gradient and incompressible results. The skin-friction data are correlated with momentum-thickness Reynolds number and the pressure gradient parameter fie -(6/T w )(,dP/dx).The skin friction increases with decreasing fie for a constant value of momentum-thickness Reynolds number.
NomenclatureA = constant in Eq. (4) B = constant in Eq. (4) Cf = skin-friction coefficient H u = incompressible shape factor k = Karman's constant M = Mach number N -velocity profile exponent u/u e = (y/8) llN P = pressure Res = momentum-thickness Reynolds number T = temperature f = (T t -T v )/(T te -T w ) u = velocity U T = shear velocity = (r w /p w ) 112 U + = U/Ur x = distance along plate y = distance normal to flow 2/+ = u r y/v w $ = Clauser's equilibrium parameter = (d*/r w )(dP/dx) (3e = pressure gradient parameter = (6/r w }(dP/dx) 5 = boundary-layer thickness p = density 5* = displacement thickness B = momentum thickness T = shear stress v -kinematic viscosity Presented as Paper 69-685 at Subscripts aw -adiabatic wall e = freestream conditions o = supply conditions w = wall conditions t = total conditions
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