Fluid Mechanics

Q1: Pick out the wrong statement pertaining to fluid flow.

A The ratio of average velocity to the maximum velocity for turbulent flow of Newtonion fluid in circular pipes is 0.5.

B The Newtonion fluid velocity in a circular pipe flow is maximum at the centre of the pipe.

C Navier-Stokes equation is applicable to the analysis of viscous flows.

D Hagen-Poiseuille equation is applicable to the laminar flow of Newtonion fluids.

ANS:A - The ratio of average velocity to the maximum velocity for turbulent flow of Newtonion fluid in circular pipes is 0.5.

The wrong statement pertaining to fluid flow is: The ratio of average velocity to the maximum velocity for turbulent flow of Newtonian fluid in circular pipes is 0.5. In turbulent flow of a Newtonian fluid in circular pipes, the velocity profile is more complex compared to laminar flow. The correct statement regarding the velocity profile in turbulent flow is that the maximum velocity is not necessarily at the center of the pipe. Instead, in turbulent flow, the velocity profile is flatter and more uniform across the pipe diameter compared to laminar flow. Therefore, the correct identification is: The Newtonian fluid velocity in a circular pipe flow is maximum at the centre of the pipe. This statement is incorrect for turbulent flow, as in turbulent flow, the maximum velocity can be found away from the centerline due to the altered velocity profile characteristics.



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