The effect of pressure gradient on the structure of an equilibrium turbulent boundary layer

Mathematics

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Boundary Layer Flow, Equilibrium Flow, Pressure Effects, Pressure Gradients, Turbulent Boundary Layer, Turbulent Flow, Wind Tunnel Tests, Wind Tunnels, Computer Programs, Flow Measurement, Flow Velocity, Mathematical Models, Space-Time Functions, Velocity Measurement

Scientific paper

Hot-wire anemometry was used to study the effect of adverse pressure gradient on the large-scale structures of equilibrium turbulent boundary layers. A previously existing zero-pressure gradient wind tunnel was modified into an adverse-pressure gradient wind tunnel, which had the capability of creating designated adverse-pressure gradient equilibrium turbulent boundary layer flows. The range of the equilibrium parameter beta was from 0.0 to 1.8 along a 1.50 m long test section of the wind tunnel. Computer programs were developed to predict the geometric shape of the test section for an equilibrium adverse-pressure gradient turbulent boundary layer flow. The numerical prediction of the test section geometry was found to be satisfactory and a substantial effort was saved in the establishment of an equilibrium boundary layer. Three equilibrium boundary layer flows at values of beta = 0.0, 0.8, and 1.8, which respectively represents zero, mild, and strong adverse pressure gradient, were established and were found to be suitable for turbulence structure measurements. Space-time correlation measurements were carried out to determine the convection velocities and inclination angles of the large-scale structures for the three different pressure gradient cases. The convection velocity measurements were performed at various heights which ranged form y(sup +) = 225 to 525 for each beta value. It was found that, within the range of height of the measurements, the convection velocity was independent of height In the case of the strong adverse-pressure gradient flow, the convection velocity was observed to be much lower than the convection velocity observed in the case of zero-pressure gradient. In the case of the mild-pressure gradient flow, it was observed that the pressure gradient effect on the convection velocity was negligible as compared to the zero-pressure gradient case. The inclination angle in the case of strong-pressure gradient case was found to be much greater than that observed in the case of zero-pressure gradient case. The pressure gradient effect on the inclination angle was observed to be negligible in the case of mild ad verse-pressure gradient case.

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