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

Related questions

Q: Problem 3 The figure presents the portion of the pipe network through which a fluid with a specific…

Q: A = 1.94.hmax = 0.559.R = 206 1. Filling the tank (30%) a) If the tap on the output pipe is closed…

A: A = 1.94hmax = 0.559R = 206FINDa) If the tap on the output pipe is closed (i.e. R = ∞) determine how…

Q: a. Determine the velocity of flow in the pipe in fps. b. Determine the discharge Q in ft^3/s.…

A: Apply bernoulli equation.

Q: An orifice on the side of a tank discharges water under a head of 9 ft. if the diameter of the…

A: Coefficient of discharge: The ratio of actual discharge to the theoretical discharge is known as the…

Q: Q4. B) Plotting the Energy Gradient Line (EGL) or Total Energy Line(TEL) and Hydraulic Grade Line…

A: Given, V1 = 36 ft/s Hm = 0.25 ft

Q: 5. Two pipes, each of diameter d, converge to form a pipe of diameter D. What should be the relation…

A: option a D=d

Q: A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure.…

A: A sluice gate used to control the flow: Depth of flow is 1.0 m upstream of the gate, A1 = 1 m Depth…

Q: Problem 4 In the figure shown, suppose that the reservoir is open to the atmosphere at the top. The…

A: Detailed solution is given below, still if you have any query please feel free to contact me.Thanks…

Q: Problem 3: A pump is place in a pipe system, the system equation/energy equation is given by h,…

Q: Problem 1: Energy Equation Assuming steady flow of an ideal incompressible fluid, find the pressure…

A: g=32 ft/s2at point Adia of pipe=12 in=at point Bdia of pipe=6 inpressure head ()=2 ftvelcoty (vB)=8…

Q: A horizontal venturimeter with a 100 mm diameter throat section is used to measure the volume flow…

Q: A water siphon having a constant inside diameter D of 4 in. is arranged as shown in the figure…

A: ###Determination of Discharge through siphon ####

Q: Conssier the steady flow in a water pipe joint shown in the diagram. The areas are: A= 0.2 m. Az =02…

Q: A fountain consists of a horizontal inlet pipe with a cross-sectional area, A1, which enters a block…

A: Figure is as shown

Q: The flow through a rectangular channel (width in x and height in z) is nonuniform with a velocity…

Q: Water flows through the pipe contraction shown in the figure below. For the given d=0.11 m…

A: D1= 0.12 m , D2= 0.04 m , d= 0.11 m

Concept explainers

British Gravitational Bg System Of Units

Measuring is the comparison of a particular physical quantity with its reference value. A unit is a fixed physical quantity. The length is a physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with. 

Question

100%

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 Vị 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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Please answer question in detail subject is fluid mechanics
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.
A pipeline of 50 mm diameter and 4.5 km length connects two reservoirs whose constant difference of water level is 12 m. A branch pipe 1.25 km long and taken from a point distance of 1.5 km from reservoir A, leads to reservoir C whose water level is 15 m below that of reservoir A. Find the diameter of the branch pipe so that the flow into both the reservoirs is the same. Assume the coefficient of friction for each pipe, ƒ = 0.0075, and neglect minor losses.
Find the discharge in pipe 5 in L/s using the Hardy Cross method. (Use AQ<1 L/s as a threshold in your solution) If the discharge occurs in the counterclockwise direction, use a negative sign. 100 L/s K=1 Pipe 1 K=2 K=3 Pipe 3 Pipe 2 Pipe 4 K=2 Pipe S K=1 25 L/s 75 L/s h iPhone
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
5.5 For the pipe and nozzle system shown in the figure, the velocity of the free water jet is v; in m/sec. Mercury U-tube manometer is connected to the pipe. Calculate the water flow rate Q in m³/sec and the manometer reading H. Take the following data: = 4.5 m/sec = 140 mm a = 6.0 m d = 40 mm b = 3.5 m D Vje, d Water Mercury
Consider steady, incompressible, two-dimensional flow through a converging duct. A simple approximate velocity field for this flow is V = (u, v) = (Uo + bæ)i – byj where UO is the horizontal speed at x = 0. Note that this equation ignores viscous effects along the walls but is a reasonable approximation throughout the majority of the flow field. Find an analytical equation of streamline for this flow.