A flat plate is pulled to the right at a speed of 30 cm/s. Oil with a

Question:

A flat plate is pulled to the right at a speed of 30 cm/s. Oil with a viscosity of 4 N^∙s/m² fills the space between the plate and the solid boundary. The plate is 1 m long (L = 1 m) by 30 cm wide, and the spacing between the plate and boundary is 2.0 mm.

a. Express the velocity mathematically in terms of the coordinate system shown.

b. By mathematical means, determine whether this flow is rotational or irrotational.

c. Determine whether continuity is satisfied, using the differential form of the continuity equation.

d. Calculate the force required to produce this plate motion.