2013•Ryuutai Kougaku Bumon Kouenkai kouen rombunshuu/Ryutai Kogaku Bumon Koenkai koen ronbunshuOpen access

0512 Law of the Wall in the Turbulent Boundary Layer Developing under the Favorable Pressure Gradient

Hitoshi Tokunaga, Shinsuke MOCHIZUKI, Takatsugu KAMEDA

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Abstract

Effect of favorable pressure gradient on the structure of turbulent boundary layer has been investigated experimentally. The wall shear stress measurement was made with direct drag balance and mean and turbulent velocity components were obtained from hot-wire measurement with constant temperature anemometers. The new velocity scale for turbulence proposed by considering momentum budget was applied to the similarity in the wall layer. The logarithmic velocity profile normalized with the friction velocity apparently reasonably agrees with the standard log-law in the wide area of the boundary layer, In addition, a modified log-law with the new velocity scale agrees well with experimental results. The new velocity scale reduces difference between normalized streamwise turbulent intensities in zero and favorable pressure gradients.

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Effect of favorable pressure gradient on the structure of turbulent boundary layer has been investigated experimentally. The wall shear stress measurement was made with direct drag balance and mean and turbulent velocity components were obtained from hot-wire measurement with constant temperature anemometers. The new velocity scale for turbulence proposed by considering momentum budget was applied to the similarity in the wall layer. The logarithmic velocity profile normalized with the friction velocity apparently reasonably agrees with the standard log-law in the wide area of the boundary layer, In addition, a modified log-law with the new velocity scale agrees well with experimental results. The new velocity scale reduces difference between normalized streamwise turbulent intensities in zero and favorable pressure gradients.

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Available abstract

Effect of favorable pressure gradient on the structure of turbulent boundary layer has been investigated experimentally. The wall shear stress measurement was made with direct drag balance and mean and turbulent velocity components were obtained from hot-wire measurement with constant temperature anemometers. The new velocity scale for turbulence proposed by considering momentum budget was applied to the similarity in the wall layer. The logarithmic velocity profile normalized with the friction velocity apparently reasonably agrees with the standard log-law in the wide area of the boundary layer, In addition, a modified log-law with the new velocity scale agrees well with experimental results. The new velocity scale reduces difference between normalized streamwise turbulent intensities in zero and favorable pressure gradients.

Key concepts: Turbulence, Law of the wall, Boundary layer, Pressure gradient, Mechanics, Boundary layer thickness, Shear velocity, Anemometer

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