To determine The velocity required to hold the pipe stable Explanation Write the expression for the impulse- momentum principle. m V 1 + ∑ F d t = m V 2 ∑ F d t = m V 2 − m V 1 ∑ F = m d t ( V 2 − V 1 ) ∑ F = m ˙ ( V 2 − V 1 ) (I) Here, mass of the fluid is m , velocity of inlet is V 1 , sum of force in the system is ∑ F , velocity of the fluid at outlet is V 2 , time is d t , mass flow rate of the system is m ˙ . Refer the figure (1) and apply the force balance equation. Apply the equation (I) for the given system. p 1 A 1 − W H 2 O − W p i p e = m ˙ ( V 2 − V 1 ) (II) Here, pressure of the water is p 1 , area of the pipe is A 1 , weight of the water is W H 2 0 , weight of the pipe is W p i p e , mass flow rate of the water is m ˙ , velocity at outlet is V 2 , and velocity at inlet is V 1 . Since the inlet and outlet of the pipe is open to atmosphere so velocity of the inlet and outlet is equal. V 1 = V 2 Write the expression to calculate the area of pipe. A = π 4 D 2 (III) Here, the diameter of pipe is D Rewrite the equation (II) based on the above statement. p 1 A 1 − W H 2 O − W p i p e = 0 p 1 = W H 2 O + W p i p e A 1 p 1 = γ l A 1 + l ( w p i p e l ) A 1 p 1 = γ l + l ( w p i p e l ) A 1 (IV) Substitute 0.20 lb/ft for w p i p e l and 0 .1256 ft 2 for A 1 in equation (IV)

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

8th Edition

ISBN: 9781119080701

Author: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein

Publisher: WILEY

See similar textbooks

Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a…

Videos

Question

Chapter 8.5, Problem 95P

To determine

The velocity required to hold the pipe stable

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.5, Problem 94P

Chapter 8.5, Problem 96P

Students have asked these similar questions

First monthly exam Gas dynamics Third stage Q1/Water at 15° C flow through a 300 mm diameter riveted steel pipe, E-3 mm with a head loss of 6 m in 300 m length. Determine the flow rate in pipe. Use moody chart. Q2/ Assume a car's exhaust system can be approximated as 14 ft long and 0.125 ft-diameter cast-iron pipe ( = 0.00085 ft) with the equivalent of (6) regular 90° flanged elbows (KL = 0.3) and a muffler. The muffler acts as a resistor with a loss coefficient of KL= 8.5. Determine the pressure at the beginning of the exhaust system (pl) if the flowrate is 0.10 cfs, and the exhaust has the same properties as air.(p = 1.74 × 10-3 slug/ft³, u= 4.7 x 10-7 lb.s/ft²) Use moody chart (1) MIDAS Kel=0.3 Q3/Liquid ammonia at -20°C is flowing through a 30 m long section of a 5 mm diameter copper tube(e = 1.5 × 10-6 m) at a rate of 0.15 kg/s. Determine the pressure drop and the head losses. .μ= 2.36 × 10-4 kg/m.s)p = 665.1 kg/m³

2/Y Y+1 2Cp Q1/ Show that Cda Az x P1 mactual Cdf Af R/T₁ 2pf(P1-P2-zxgxpf) Q2/ A simple jet carburetor has to supply 5 Kg of air per minute. The air is at a pressure of 1.013 bar and a temperature of 27 °C. Calculate the throat diameter of the choke for air flow velocity of 90 m/sec. Take velocity coefficient to be 0.8. Assume isentropic flow and the flow to be compressible. Quiz/ Determine the air-fuel ratio supplied at 5000 m altitude by a carburetor which is adjusted to give an air-fuel ratio of 14:1 at sea level where air temperature is 27 °C and pressure is 1.013 bar. The temperature of air decreases with altitude as given by the expression The air pressure decreases with altitude as per relation h = 19200 log10 (1.013), where P is in bar. State any assumptions made. t = ts P 0.0065h

36 2) Use the method of MEMBERS to determine the true magnitude and direction of the forces in members1 and 2 of the frame shown below in Fig 3.2. 300lbs/ft member-1 member-2 30° Fig 3.2. https://brightspace.cuny.edu/d21/le/content/433117/viewContent/29873977/View

Chapter 8 Solutions

Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version

Ch. 8.1 - Prob. 1P Ch. 8.1 - Rainwater runoff from a parking lot flows through...Ch. 8.1 - Blue and yellow streams of paint at 60 °F (each...Ch. 8.1 - Air at 200 °F flows at standard atmospheric...Ch. 8.1 - To cool a given room it is necessary to supply 4...Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - (See The Wide World of Fluids article titled...Ch. 8.2 - For fully developed laminar pipe flow in a...Ch. 8.2 - Prob. 10P

Knowledge Booster

Learn more about

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