engineering recuitment GATE ME 2023-24 Test Series Fluid Mechanics Laminar Flow Laminar Flow Between Plates
Consider a Couette laminar flow between two infinite parallel plates as shown in the figure. The upper plate is moving with a velocity of 2 cm/s in the x-direction while the lower plate is kept stationary, The distance between the plates is 4 mm and the dynamic viscosity of the fluid is 0.01 N.s/m2. It is given that the average flow velocity in this flow is 1.5 cm/s. Which of the following options is/are correct?
1
If the shear stress on the lower plate is zero, the pressure gradient, \(\frac{{\partial p}}{{\partial x}}\), will be 8 Pa/m
2
The pressure drop per unit length will be 37.5 Pa/m
3
The pressure drop per unit length will be 74 Pa/m
4
If the shear stress on the lower plate is zero, the pressure gradient, \(\frac{{\partial p}}{{\partial x}}\), will be 25 Pa/m