The reservoir core sample shown in Figure 1 has a permeability of 1 Darcy. What does this mean? Figure 1

As shown in the accompanying figure, a thin flat plate rests on top of a film of ambient temperature (i.e. 20 °C) water. When a small force F is applied to this plate, the velocity profile within the water film can be described as vx = 40y-800y² where y is the distance (m) from the bottom stationary plate. a. Show that velocity equation satisfies the 'no-slip' conditions that must exist for both the top moving plate and bottom stationary plate. b. Calculate the magnitude of the shear stress (in Pa) that is acting on the top plate 10 mm 0.32 m/s -X

express in 4 decimal places    ans asap

5. Consider the problem of laminar, unidirectional flow in a pipe of radius a. Using the Navier- Stokes Equations: Solve for the velocity profile, u(r), in the pipe Calculate the maximum and bulk velocity (umax, ub) for this flow

Derive the equation of average permeability of linear flow of two layered-parallel beds with different permeabilities and variable cross sectional area, as shown in figure (1). Flow P1 P2 QT K1 W K2 Fig. (1)

a) (i) What are a Newtonian fluid and a -Newtonian fluid? Classify pendent non-Newtonian fluids and illustrate - flow time- behaviours in a diagram g. shear stress vs. shear (ii) across a flat plate and the s with the aid of a schematic diagram. Explain boundary concept for a flow

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:

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