A boundary layer developing in an increasingly adverse pressure gradient

This paper deals with a survey of mean flow and fluctuating quantities in a turbulent boundary layer developing on a smooth wall in a pressure domain P ( x ), where both dP/dx and d 2 P/dx 2 are positive (increasingly adverse). The two-dimensional nature of the flow field was checked by momentum balance, as well as velocity traverses either side of the working section centre-line. Using the integrated form of the momentum integral equation, it was found that the skinfriction term and the summed momentum and pressure terms differed by at most 19%; but for the majority of measuring points they differed by less than 14%. The off-centre-line velocity profiles were indistinguishable from those taken on the centre-line. The flow field was also surveyed for fluctuating components $(\overline{u^2_1})^{\frac{1}{2}}, (\overline{u^2_2})^{\frac{1}{2}}, (\overline{u^2_3})^{\frac{1}{2}}$ , and $\overline{u_1u_2}$ , as well as for u 1 spectra. Wherever possible, the results were compared with existing models of boundary-layer development. These comparisons indicated that the only all-embracing model for boundary-layer development is the law of the wall.

[1]  W. Tollmien,et al.  50 Jahre Grenzschichtforschung , 1955 .

[2]  Peter N. Joubert,et al.  Velocity and temperature profiles in adverse pressure gradient turbulent boundary layers , 1966 .

[3]  A. Perry,et al.  Static and dynamic calibrations of constant-temperature hot-wire systems , 1971, Journal of Fluid Mechanics.

[4]  Graham L. Morrison,et al.  A study of the constant-temperature hot-wire anemometer , 1971, Journal of Fluid Mechanics.

[5]  A. Townsend,et al.  Equilibrium layers and wall turbulence , 1961, Journal of Fluid Mechanics.

[6]  Peter N. Joubert,et al.  Rough wall turbulent boundary layers , 1969, Journal of Fluid Mechanics.

[7]  F. Clauser Turbulent Boundary Layers in Adverse Pressure Gradients , 1954 .

[8]  Graham L. Morrison,et al.  Dynamic calibration of inclined and crossed hot wires , 1972 .

[9]  V. C. Patel Calibration of the Preston tube and limitations on its use in pressure gradients , 1965, Journal of Fluid Mechanics.

[10]  E. R. V. Driest On Turbulent Flow Near a Wall , 1956 .

[11]  B. Stratford The prediction of separation of the turbulent boundary layer , 1959, Journal of Fluid Mechanics.

[12]  Graham L. Morrison,et al.  Vibration of hot-wire anemometer filaments , 1971 .

[13]  Donald Coles The law of the wall in turbulent shear flow , 1955 .

[14]  Peter N. Joubert,et al.  The measurement of skin friction in turbulent boundary layers with adverse pressure gradients , 1969 .

[15]  A. Perry Turbulent boundary layers in decreasing adverse pressure gradients , 1966 .

[16]  B. Stratford An experimental flow with zero skin friction throughout its region of pressure rise , 1959, Journal of Fluid Mechanics.