A fluid near a solid wall has an approximated velocity profile given by $u\left( y \right) = \;{U_\infty } \times \sin \left( {\frac{{\pi y}}{{2\delta }}} \right),\;0 \le y \le \delta $ . The walls shear stress is given by:

Question

A fluid near a solid wall has an approximated velocity profile given by $u\left( y \right) = \;{U_\infty } \times \sin \left( {\frac{{\pi y}}{{2\delta }}} \right),\;0 \le y \le \delta $ . The walls shear stress is given by:

TuteeHUB · Accepted Answer

${\tau _{wall}} = \;\frac{{3\pi \mu {U_\infty }}}{{\delta }}$

TuteeHUB · Answer

${\tau _{wall}} = \;\frac{{\pi \mu {U_\infty }}}{{2\delta }}$

TuteeHUB · Answer

${\tau _{wall}} = \;\frac{{2\pi \mu {U_\infty }}}{{\delta }}$

TuteeHUB · Answer

${\tau _{wall}} = \;\frac{{\pi \mu {U_\infty }}}{{\delta }}$

1.	A fluid near a solid wall has an approximated velocity profile given by \(u\left( y \right) = \;{U_\infty } \times \sin \left( {\frac{{\pi y}}{{2\delta }}} \right),\;0 \le y \le \delta \) . The walls shear stress is given by:
A.	\({\tau _{wall}} = \;\frac{{\pi \mu {U_\infty }}}{{2\delta }}\)
B.	\({\tau _{wall}} = \;\frac{{3\pi \mu {U_\infty }}}{{\delta }}\)
C.	\({\tau _{wall}} = \;\frac{{2\pi \mu {U_\infty }}}{{\delta }}\)
D.	\({\tau _{wall}} = \;\frac{{\pi \mu {U_\infty }}}{{\delta }}\)
Answer» B. \({\tau _{wall}} = \;\frac{{3\pi \mu {U_\infty }}}{{\delta }}\)

A fluid near a solid wall has an approximated velocity profile given by \(u\left( y \right) = \;{U_\infty } \times \sin \left( {\frac{{\pi y}}{{2\delta }}} \right),\;0 \le y \le \delta \) . The walls shear stress is given by:

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