• # question_answer The velocity distribution in laminar boundary layer is given by the relation $u/{{u}_{x}}=y/\delta .$ What is the displacement thickness for the boundary layer? A) $\delta$                                  B) $\delta /2$C) $\delta /3$                                D) $\delta /4$

Solution :

$\delta *=\int\limits_{0}^{\delta }{\left( 1-\frac{u}{{{U}_{\infty }}} \right)}\,\,dy$ $=\int\limits_{0}^{\delta }{\left( 1-\frac{y}{{{2}'}} \right)}\,\,dy=\left| y-\frac{{{y}^{2}}}{{{2}'}} \right|=\delta -\frac{\delta }{2}=\frac{\delta }{2}$

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