engineering recuitment Cochin Shipyard Executive Trainee Mechanical Mock Test Fluid Mechanics Laminar Flow Laminar Flow through Pipe
The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the figure, is given by the expression \(u\left( r \right) = \frac{{ - {R^2}}}{{4\mu }}\left( {\frac{{dp}}{{dx}}} \right)\left( {1 - \frac{{{r^2}}}{{{R^2}}}} \right)\) , where \(\frac{dp}{dx}\) is a constant. The average velocity if fluid in the pipe is
1
\(-\frac{{{R^2}}}{{8\mu}}\left( {\frac{{dp}}{{dx}}} \right)\)
2
\(- \frac{{{R^2}}}{{4\mu}}\left( {\frac{{dp}}{{dx}}} \right)\)
3
\(- \frac{{{R^2}}}{{2\mu}}\left( {\frac{{dp}}{{dx}}} \right)\)
4
\(-\frac{{{R^2}}}{\mu}\left( {\frac{{dp}}{{dx}}} \right)\)