At two points 1 and 2 in a pipeline the velocities are V and 2V, respectively. Both the points are at the same elevation. The fluid density is p. The flow can be assumed to be incompressible, inviscid, steady and
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- The pipe bend shown is in a horizontal plane. Oil with a specific gravity of 0.86 enters the reducing bend at section A with a velocity of 3.2 m/s and a pressure of 150 kPa. Neglecting head loss, determine a) The x-component of the reaction by the bend, FRx (N) and b) The y-component of the reaction by the bend FRY (N). ds = 100 mm da = 150 mm 30°(4) Consider that we have a horizentral pipe, like shown in the sketh, which is carrying in this case, cooling water at 10 °C. The elevation of the big tank of cooling water is 100 m, the elevation of the center line of the pipe is 20 m, the length of the pipe is 2000 m. Head loss in the pipe is 0. 07 L / D) V? H. D=20 cm, the rate of flow is 0.0 a=1 ase calculate the 2g pressure in the pipe. Elevation = 100 m Elevation = 20 m L=2000 m %3D II ||The pipe bend shown is in a horizontal plane. Oil with a specific gravity of 0.86 enters the reducing bend at section A with a velocity of 3.2 m/s and a pressure of 150 kPa. Neglecting head loss, determine Fex (N) Fpr (N) The x-component of the reaction by the bend, FRx (N) and The y-component of the reaction by the bend FRY (N). de = 100 mm da = 150 mm 30° A
- A steady, two dimensional, incompressible flow field is represented by u = x + 3y + 3 and v = 2x - y - 8 In this flow field, the stagnation point is A) (3, 2) B) (-3,2) c) (−3,−2) D) (3,-2)(a) Develop a model that describes the system (b) Represent the model in the state space form (1) Tank system in cascade: The four tank are put in series and are connected to each other as shown. Water flows into tank 1 at a constant rate of pQ,. All tanks have the same resistance of R. Flow Direction (1) (2) (3) (4) pQia) Determine the velocity at which water leaves the tank.b) Determine the mass flow-rate at which water leaves the tank.c) Determine the pressure at point B (report your answer in Pa).d) Given that the diameter at the constriction is 2.4 in, determine the pressure at point A.e) Given that the water is at 50 oC, and that the vapor pressure of water is 12.3 kPa at that temperature, state whether cavitation is likely to occur at A?
- The diameter of a pipe changes gradually from 6 inches at A to 18 inches at B. A is 15 ft lower than B. If the pressure at A is 10 lbs per square inch and at B, 7 lbs per square inch when there are 5.0 cubic ft per second flowing, determine: a. the direction of flow. b. the frictional loss between the two points B. If in Problem 1 the direction of flow is reversed, determine the pressure at A if all other factors, including the frictional loss, remain the same. C. In Problem 1, determine the diameter of pipe at B in order that the pressure at that point will also be 10 lbs per square inch, all other factors remaining constant. D. Determine the discharge in Problem 1, assuming no frictional loss, all other conditions remaining as stated. E. What would be the difference in pressure in pounds per square inch between A and B, Problem 1, if there were 6.2 cubic ft per second flowing, neglecting friction.The Reynold's number for the flow through smooth pipe is given by 105. The value of friction factor for smooth pipe is (a) 0.001 (c) 0.089 (b) 0.018 (d) 0.125A water siphon having a constant inside diame of 3 in. is arranged as shown in the figure below the friction loss between A and B is 0.8V²/2 wh is the velocity of flow in the siphon, determine flowrate involved. Assume a = 4 ft, h = 12 ft. D-- B a h
- An ideal liquid flowing through a pipe A of cross-section 0.2m² with velocity 10m/s enters a T-junction. One side of the T-junction B has cross-section area 0.1m² and the other side Chascross-section area 0.05m². If the velocity of water in C is 15m/s then in B the velocity isConsider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm/s in the x-direction. The distance between the plates is 5mm and the dynamic viscosity of the fluid is 0.01 N-s/mlf the shear stress on the lower plate is zero, the pressure gradient, D, (in N/m² per m, round off to 1 decimal place) is. ap ax 2-61965 26-6-2 = 2 2012 201 2013-0Q1: Derie an epressin for the shear stress at the pipe wall when an incompressible faid flows draugh a pipe wnder pressure. Use dinmsional ana)sis witk the following siguißcant parameters: pipe diameter D, flow velociy V, and vicenity and density p of the fuid. Q2: : Use dinensional analysis to derive as epression for the power develaped by an engine in terms of the torque T and rotartive speed u.