A 30º reducing elbow is shown. The fluid is water. Evaluate the components of force that must be provided by the adjacent pipes to keep the elbow from moving. Assume steady, incompressible, uniform flow. ρwater= 999kg/m3, Q= 0.11 m3/s.1 atm = 101 kPa;

Q: Consider fully developed laminar flow in the annular space formed by the two concentric cylinders shown in the below diagram. The outer pipe is stationary, and the inner pipe moves in the x direction with speed V For pressure gradient, , and the inner cylinder stationary, let ro = R and r = kR, The velocity profile is ax given by: др + 4μ. θα Find: 1- Volume flow rate (Q). 2- An expression for the average velocity (V) 3- Fork → 0, find Q and V 6

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…

In a container of diameter Φ (see image), a tube of diameter ε (much smaller than the diameter of the container) is connected at a height d. The water level in the container is h. Water flows at a constant speed in the tube. The density of the fluid is ρ. If the container is open to the air, calculate the pressure at the connection. Conceptual question: In the second figure of the image, three pressures are represented. Are these pressures constant along the height they describe?