Water falls down a vertical pipe by gravity alone. The flow between the vertical locations z1 and zz is fully developed, and velocity profiles at these twolocations are sketched in the figure. Suppose the vertical pipe is now horizontal instead. In order to achieve the same volume flow rate as that of thevertical pipe, we must supply a forced pressure gradient. Calculate and choose the correct equation for the required pressure drop between two axiallocations in the pipe that are the same distance apart as zz and z1.z = 72z = z1Multiple ChoiceP2 – PI = pg (z2 – z1) Multiple ChoiceP2 – P1 = pg (z2 – 21)P2 – P = pg (z2 + z1)P2 – P = pg ()P2 – P1 = pg (z2 × z1)

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Answered: Water falls down a vertical pipe by…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The gauge pressure of water at A is 150.5 kPa. Water flows through the pipe at A with a velocity of 18 m/s, and out the pipe at B and C with the same velocity v. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at A, and at B and C the diameter is 29 mm. pw = 1000 kg/m³. (Figure 1) Figure v B v y -X A 1 18 m/s 1 of 1 Part A Determine the x component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. F₁ = Submit Part B F₁ = μA Submit Value Request Answer Determine the y component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. μA Value Units Request Answer ? Units ?
Problem 8: EGL and HGL (IV) Consider a storage reservoir with a water surface elevation of 270 m. It is connected to a closed conduit (i.e., a pipe) that carries water down to a turbine at elevation 60 m. The friction head loss in the conduit is 20 m. Part A At point D, what are the pressure head P/y, the elevation head z, and the HGL? Part B Copy the diagram below. If the conduit is a closed pipe flowing full, is the velocity head V²/(2g) constant D→E? Answer yes or no, then sketch the EGL above the pipe D-E. Use a solid line. D E z = 270 m T Part C Based on your answer to Part B, sketch the HGL from D-E. Use a dashed line. z = 270 m Part D Now assume the conduit is an open channel. Copy the diagram below. Is the velocity head V²/(2g) constant D→E? Answer yes or no, then sketch the EGL above the pipe D→E. Use a solid line. E D z = 60 m T z = 60 m Part E Based on your answer to Part D, sketch the HGL from D-E. Use a dashed line.
2xy, v = x² – y², is irrotational and incompressible, and determine its stream function and velocity potential p. 2. Demonstrate that the two-dimensional flow fluid flow defined by u =
Consider the two-dimensional flow of an inviscid, incompressible fluid described by the superposition of a parallel flow of velocity V0, a source of strength q, and a sink of strength −q, separated by a distance b in the direction of the parallel flow, the source being upstream of the sink. (a) Find the resultant stream function and velocity potential. (b) Sketch the streamline pattern. (c) Find the location of the upstream stagnation point relative to the source.
An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters di and d2 (where d₁ = 4d₂) that run for a distance of L each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy-Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is
Water flows through the branching pipe shown in the figure below. The flowrate at section (1) is Q₁ = 1.1 m³/s, and the velocity at section (2) is V₂ = 17 m/s. A₁ = 0.1 m² P1 = 300 kPa 21 = 0 P3 = -147.2 A3 = 0.035 m² Z3 = 10 m (1) (2) If viscous effects are negligible, determine the pressure at section (2) and the pressure at section (3). P2 = i 315.3 kPa kPa (3) A₂ = 0.03 m² 22 = 0
Note:hand written solution should be avoided.
Problem 6.25 , show step by step solution
Consider the pressurized horizontal pipe network consisting of three pipes arranged in series. The characteristics of each pipe are summarized in the table. The flow of water at Node A is Q = 5 cfs and the pressure head at Node A is yA = 200 feet. The temperature of the water is 60° F. a) Determine the friction head loss hfric in feet in Pipe 1. b) Determine the friction head loss hfric in feet in Pipe 2. c) Determine the friction head loss hfric in feet in Pipe 3. d) Determine the pressure head ys in feet at Node B. e) Determine the pressure head yc in feet at Node C. f) Determine the pressure head yo in feet at Node D. Flow Friction Pressure Diameter Length Friction (feet) (cfs) head Нead Pipe (inches) factor f Kpipe loss (feet) Node (feet) 1 16 500 0.011 5 A 200 2 12 1000 0.013 B 3 10 750 0.015 D Node Node Node Node A в D 5 cfs 5 cfs Pipe 1 Pipe 2 Pipe 3

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