A) \[\delta /2\]
B) \[\delta /3\]
C) \[\delta /4\]
D) \[\delta /6\]
Correct Answer: D
Solution :
\[\frac{U}{{{U}_{\infty }}}=\frac{y}{\delta }\] Momentum thickness, \[\theta =\int\limits_{0}^{\delta }{\frac{u}{{{U}_{\infty }}}}\,\left( 1-\frac{u}{{{U}_{\infty }}} \right)\,dy=\int\limits_{0}^{\delta }{\frac{y}{\delta }}\,\left( 1-\frac{y}{\delta } \right)\,dy\] \[=\left| \frac{{{y}^{2}}}{2\delta }-\frac{{{y}^{3}}}{3{{\delta }^{2}}} \right|_{0}^{\delta }=\frac{\delta }{2}-\frac{\delta }{3}=\frac{\delta }{6}\]
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