To determine The Pressure and velocity at B and C and also the energy grade line and the hydraulic grade line for the flow from A to C . Explanation Given: The pressure at point A ( p A ) is 400 kPa . The diameter at A ( d A ) is 150 mm. The diameter at B ( d B ) is 100 mm. The diameter at C ( d C ) is 50 mm. The velocity at point A ( V A ) is 3 m / s . Calculation: Write the expression for the continuity Equation. ∂ ∂ t ∫ c v ρ d V + ∫ c s ρ V ⋅ d A = 0 − V A A A + V B A B = 0 (I) Here, V A is velocity at A , V B is velocity at B , A A is area of cross section at A , and A B is area of cross section at B . Rearrange the Equation (I). − V A ( π 4 × d A 2 ) + V B ( π 4 × d B 2 ) = 0 − 3 ( π 4 × ( 150 mm × 1 m 1 , 000 mm ) 2 ) + V B ( π 4 × ( 100 mm × 1 m 1 , 000 mm ) 2 ) = 0 V B = 6.75 m / s Thus, velocity at B is 6.75 m / s _ . Similarly, Modify the Equation (I) for flow through the point A to C . − V A ( π 4 × d A 2 ) + V B ( π 4 × d C 2 ) = 0 − 3 ( π 4 × ( 150 mm × 1 m 1 , 000 mm ) 2 ) + V C ( π 4 × ( 50 mm × 1 m 1 , 000 mm ) 2 ) = 0 V C = 27 m / s Thus, the velocity at C is 27 m / s _ . Consider that water in the pipe A to B as control volume. Apply Bernoulli equation between A and B . p A γ w + V A 2 2 g + z A = p B γ w + V B 2 2 g + z B ( 400 kPa × 10 3 Pa 1 kPa ) 9 , 810 + 3 2 2 × 9.81 + 0 = p B 9 , 810 + 6.75 2 2 × 9.81 + 0 41.233 = p B 9 , 810 + 2.322 p B 9 , 810 = 38.91 p B = 381 , 707 Pa p B = 381 , 707 Pa × 1 kPa 1 , 000 Pa =381

2nd Edition

ISBN: 9780134649290

Author: Russell C. Hibbeler

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 5, Problem 9FP

To determine

The Pressure and velocity at B and C and also the energy grade line and the hydraulic grade line for the flow from A to C.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5, Problem 8FP

Chapter 5, Problem 10FP

Chapter 5 Solutions

Fluid Mechanics (2nd Edition)

Ch. 5 - Prob. 1FP Ch. 5 - Oil is subjected to a pressure of 300 kPa at A,...Ch. 5 - Prob. 3FP Ch. 5 - Water flows through the pipe at 8 m/s. Determine...Ch. 5 - The tank has a square base and is filled with...Ch. 5 - Prob. 6FP Ch. 5 - Water flows from the reservoir through the...Ch. 5 - Crude oil flows through the 50-mm-diameter pipe...Ch. 5 - Water at A has a pressure of 400 kPa and a...Ch. 5 - Water from the reservoir flows through the...

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