Explanation Write the expression for the energy balance equation for the given system including the minor losses. p 1 γ + V 1 2 2 g + z 1 = p 2 γ + V 2 2 2 g + z 2 + K L V 2 2 2 g (I) Here, the pressure at point 1 is p 1 , the velocity at point 1 is V 1 , the elevation at point 1 is z 1 , the pressure at point 2 is p 2 , the velocity at point 2 is V 2 , the elevation at point 2 is z 2 and loss coefficient is K L . Rearrange the equation in terms of pressure drop by neglecting the datum energy. ( p 1 − p 2 γ ) = ( V 2 2 2 g − V 1 2 2 g ) + ( K L V 2 2 2 g ) p 1 − p 2 = ρ 2 [ ( V 2 2 − V 1 2 ) + ( K L V 2 2 ) ] Δ p = ρ 2 [ ( K L V 2 2 ) + ( V 2 2 − V 1 2 ) ] (II) Write the expression to calculate the area of pipe. A = π 4 D 2 (III) Here, the diameter of pipe is D . Write the expression for the area ratio of the pipe. A 2 A 1 = ( D 2 D 1 ) 2 (IV) Here, section (1) diameter is D 1 and section (2) diameter is D 2 . Write the expression for the flow rate using the continuity equation. Q = A V V = Q A (V) Here, the flow rate is Q , area of cross section of pipe is A , and velocity of pipe at point is V . Conclusion: Consider the larger pipe as section (1) and smaller pipe as section (2). Calculate the area of the section (1) using the equation (III). Substitute 0.12 m for D in equation (III). A 1 = π 4 ( 0.12 m ) 2 = 0 .01131 m 2 Calculate the area of the section (2) using the equation (III). Substitute 0.06 m for D in equation (III). A 2 = π 4 ( 0

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

Videos

Question

Chapter 8.4, Problem 53P

To determine

The pressure drops across the contraction section and identifies the pressure drop due to losses and change in kinetic energy individually.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.4, Problem 52P

Chapter 8.4, Problem 54P

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.

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY