File:Law of the wall (English).svg

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DescriptionLaw of the wall (English).svg	English: The figure of law of the wall. モデル law of the wall using mixing length model ${\frac {dU^{+}}{dy^{+}}}={\frac {2\left(1-\xi \right)}{1+{\sqrt {1+4{l^{+}}^{2}\left(1-\xi \right)}}}}$ van Driest model $l^{+}=\kappa y\Gamma \left(y^{+}\right)$ $\Gamma \left(y^{+}\right)=1-\exp \left({\frac {-y^{+}}{B}}\right)$ viscous sublayer ${\frac {dU^{+}}{dy^{+}}}=1$ $U^{+}=y^{+}$ log law ${\frac {dU^{+}}{dy^{+}}}={\frac {1}{\kappa y^{+}}}$ $U^{+}={\frac {1}{\kappa }}\ln \left(y^{+}\right)+A$ description for each variables/constants $y^{+}$ $y^{+}={\frac {yU_{}}{\nu }}$ $U^{+}$ $U^{+}={\frac {U}{U_{}}}$ $y$ vertical length from wall $U_{}$ shear velocity $\nu$ coefficient of kinetic viscosity $U$ horizontal velocity of flow along wall $\xi$ $\xi ={\frac {y^{+}}{R_{}}}$ $R_{}$ shear Reynolds number $=1000$ $l^{+}$ $l^{+}={\frac {lU_{}}{\nu }}$ $l$ mixing length $\kappa$ Kármán's universal constant for open-channel: $\kappa =0.412$ (Nezu&Rodi,1986) A for open-channel: $A=5.29$ (Nezu&Rodi,1986) B $B=26$ Reference Iehisa NEZU, Akihiro TOMINAGA(2000):"Suirigaku", Asakura Shoten, pp.130-133。日本語: 壁法則の図（英語版）。
Date	1 July 2011
Source	Own work
Author	aokomoriuta（青子守歌）
Other versions	日本語 English

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	04:18, 12 July 2011		558 × 518 (141 KB)	wikimediacommons>青子守歌	correct the equation of viscous sublayer

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