Consider a cart as shown, with steady-state conditions having been reached, i.e. the cart hasfilled to a point where the amount of water inside it remains constant. The diameter of bothoutlets is given as Do. The water column height at exit 2 is twice that at exit 1, that is,H2 = 2H1. Assume inviscid flow. Assume that cart is on level surface. Clearly mark the CVyou are using to answer the following questions and also show your axes.(a) Find expressions for V, and Vị in terms of the heights H2 and H1 using appropriateconservation law.(b) Using conservation of mass for an appropriate control volume, find relation between thejet velocity V; and exit velocities V and V2 and the pipe diameters Do and D;.(c) If no horizontal force is needed for the cart to be stationary, find a numerical valuefor Do/Dj. You may have to use the expressions obtained in the previous subparts. Vi'DjHzDo

Answered: Image /qna-images/answer/d714fc10-2844-4d22-93fa-d9f35fad6b38.jpg

Consider a cart as shown, with steady-state conditions having been reached, i.e. the cart has filled to a point where the amount of water inside it remains constant. The diameter of both outlets is given as Do. The water column height at exit 2 is twice that at exit 1, that is, H2 = 2H1. Assume inviscid flow. Assume that cart is on level surface. Clearly mark the CV you are using to answer the following questions and also show your axes. (a) Find expressions for V, and V in terms of the heights H2 and H1 using appropriate conservation law. (b) Using conservation of mass for an appropriate control volume, find relation between the jet velocity V; and exit velocities V and V2 and the pipe diameters Do and D;. (c) If no horizontal force is needed for the cart to be stationary, find a numerical value for Do/Dj. You may have to use the expressions obtained in the previous subparts.

Consider a cart as shown, with steady-state conditions having been reached, i.e. the cart has filled to a point where the amount of water inside it remains constant. The diameter of both outlets is given as Do. The water column height at exit 2 is twice that at exit 1, that is, H2 = 2H1. Assume inviscid flow. Assume that cart is on level surface. Clearly mark the CV you are using to answer the following questions and also show your axes. (a) Find expressions for V, and V in terms of the heights H2 and H1 using appropriate conservation law. (b) Using conservation of mass for an appropriate control volume, find relation between the jet velocity V; and exit velocities V and V2 and the pipe diameters Do and D;. (c) If no horizontal force is needed for the cart to be stationary, find a numerical value for Do/Dj. You may have to use the expressions obtained in the previous subparts.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A venturimeter is: efully designed pressure difference is a measure of flow volume rate in a pipe. Using Bernoulli's equation for steady, incompressible flow with no loses, show that the flow rate is related to the manometer reading 2gh(p_ - p) h by Q =- where pm is the density of the manometer fluid.
Consider flow in a 350mm diameter steel that is coated with a very smooth enamel. Water flows in it with a velocity of 3.56 m/s. Determine the head loss per 160 m. a.) The Darcy Weisbach equation, b.) The manning equation c.) The Hazen William equation.
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 =
Example 2 What fraction of the mass flow rate m is diverted down the plate shown below? Neglect friction between the water and the plate and the effect of gravity. Calculate the force F required to hold the plate stationary. V2 solution: V = 30 m/s Water in the x-direction F = M - M, in out m=5kg/s But F, =0 → M, out - M, in = V,m, - V,m, = V,m, -V,(m– m,) 45° M. x out M, in = V, cos 45m
A fluid flows downward with the rate of Q=0.015 m/s in a smooth vertical pipe with the length of l. (a) Find the diameter of the pipe if the pressure drop (pi – p2) is zero. (Hint: Use Moody Chart with the initial guess of f=0.02. Two iterations are enough) (b) If the pipe outflow hits a fixed vane as shown in the figure, what would be the horizontal and vertical forces (Fx, Fy) on the vane? (p = 1000 kg/m3; u = 0.001 kg/m. s; a = 30 deg)
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.
Refer to the illustration below. All friction factor f = 0.02 All pipe lengths L 200m %3D Diameter of Pipe A = 400mm Diameter of Pipe B = 300mm Diameter of Pipe C = 200mm Diameter of Pipe D = 400mm Flow Rate at Pipe A = 300 L/s Solve for the following: 1. Headloss in meters at Pipe A 2. Flow rate in L/s at Pipe B 3. Flow rate in L/s at Pipe C 4. Flow rate in L/s at Pipe D 5. Headloss in meters at Pipe B 6. Headloss in meters at Pipe C 7. Headloss in meters at Pipe D 8. Difference in elevation between reservoirs in meters
Q3(b) A pitot tube and a piezometric tube are installed in a horizontal pipe adjacent to each other, as shown in Figure Q3(b). The fluid flows in the pipe with velocity, v. Derive the expression of the flow velocity in the pipe, v in terms of h1 and h2. Neglect the head losses.
A water siphon having a constant inside diameter D of 4 in. is arranged as shown in the figure below. If the friction loss between A and B is 0.9V2/2 where Vis the velocity of flow in the siphon, determine the flowrate involved. Assume a = 4 ft, h = 12 ft. Q = D B ft³/s
Which of the following is a valid potential function for incompressible flow? (Assume A is numerical constant). A B C D None of these o = Alog₂ xy ¢ = A(cosx + sin!) =(x²-y²)
The discharge (Q)through a horizontal pipe is depend upon the pressure drop per unit length the diameter (D), and the dynamic viscosity (μ).Find the form of the equation using Dimensional Analysis theory.
In using Darcy-Weisbach equation for flow in a pipe, the friction factor is misjudged by + 25%. The resulting error in the estimated discharge Q is