During industrial coating of a steel sheet, the paint head moves over the steel surface. There is also a pressure drop due to the hydraulic pressure of the paint reservoir. This scenario is simplified in Figure Q6, which illustrates a mixed Poiseuille-Couette flow scenario between two infinitely large plates separated by a distance H. The bottom plate at y = 0 is stationary while the top plate at y = H has a velocity v₂ = V. There is also a pressure drop in the x-direction, with P = Po at x = 0 and P = P₁ at X = L. ///////////// H Po L PL Figure Q6: Mixed Poiseuille-Couette flow between infinite plates Use the Navier-Stokes equations to derive an expression for the average fluid velocity in the x-direction. Show your working. State all your assumptions, including justification of any simplifications to the Navier-Stokes equations.

1) Consider the infinitely tall, annular mixing tank. The fluid to be mixed is Fluid between the inner cylinder and the outer wall. The fluid is mixed by a Fluid spinning the inner cylinder at an angular velocity of n (s-1). The tank has an inner radius of R (m) and the R. inner cylinder has a diameter of k (m). Fluid There is no net flow in the vertical or radial directions. Top view Answer the following questions about Side view this sytem:

Fluid Mechanics

Consider a uniform flow of a liquid with velocity U and viscosity u past a square plate with side width L and negligible thickness (shown below). The square plate is then cut into two equal parts, with the lower part being moved and placed behind the upper part to form a long rectangular plate. Determine the drag force ratio with respect to the square plate.

0.4 The particle in the figure is moving supersonically in sea-level standard air (15°C). From the two given disturbance spheres, compute the particle Mach number, velocity, and Mach angle. 8 m Particle 3 m V- 8 m