A liquid of viscosity 5.2x10-5 Ibf-sec/ft² is flowing in a rectangular duct. The equation of the symmetrical velocity (in ft/s) is approximately V=0.3y0.7 ft/s where y is in inches. Compute the shear stress of the fluid at y=3 inches from the wall.

Problem Consider a cylindrical pipe of length L and diameter D = 2R. The angle that the axis of the pipe forms with the vertical direction is a. Assume that when the fluid enters the pipe its velocity is uniform (i.e., it has the same value over the entire cross-section of the pipe) and equal to U in the axial direction. In the radial and angular directions, the velocity is zero. So, it is: 2 =0: v(r, 0, 2) = Ue, (1.1) Here v is the fluid velocity and e, is a vector of unit magnitude parallel to the coordinate axis z; furthermore, we have assumed that the pipe inlet is located at z = 0. Near the entrance of the pipe, the velocity profile varies in the axial direction. But after a certain entrance length, the profile becomes fully developed, no longer changing with z. The evolution of the velocity profile is sketched in Fig. 1, where, for clarity, the pipe inclination is not shown. The entrance length is denoted by L.. For z > L., the fluid velocity is no longer a function of the axial…

Water at 10°C has a kinematic viscosity of 1.30 X 10-6 m2/s flows at the rate of 895.55 L/min from the reservoir and through the pipe shown in the Fig. below. Compute the pressure at point B, considering the energy loss due to friction, but neglecting other losses. Also, use pipe roughness of 1.50 X 10-6 m. Hint: Use the appropriate formula to determine the friction factor, f to 4 decimal places (flow type dependant); g = 9.81 and round off to 3 decimal places for all other step calculations leading to the final answer including the final answer.

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