Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm/s in the x-direction

Q. Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm/s in the x-direction. The distance between the plates is 5 mm and the dynamic viscosity of the fluid is 0.01 N-s/m². If the shear stress on the lower plate is zero, the pressure gradient, ^𝜕𝑝/𝜕x, (in 𝜕𝑥N/m² per m, round off to 1 decimal place) is

  Solution:

Given data:

Velocity of plate, V = 1 cm/sec

Distance between the late = 5 mm

Dynamic viscosity of fluid = 0.01 N-S/m2

Shear stress at lower plate = 0

Pressure gradient: