To determine The head loss for a water flow rate of 0.05 m 3 / s . Explanation The figure shown below shows the diagrammatic representation of pipe. Figure (1) Write the expression for the head loss. T L = h L 2 + h L 3 (I) Here, the head loss due to expansion at section 2 is h L 2 , the head loss due to expansion at section 3 is h L 3 and the total loss is T L . Write the expression for the head loss due to expansion at section 2 . h L 2 = ( V 2 − V 3 ) 2 2 g (II) Here, the velocity at section 2 is V 2 and the velocity at section 3 is V 3 . Write the expression for the change in velocity due to contraction. V 2 − V 3 = Q ( 1 A 1 − 1 A 2 ) (III) Here, the area at section 1 is A 1 , the area at section 2 is A 2 and the discharge is Q . Write the expression for the area at section 1 . A 1 = π 4 d 1 2 (IV) Here, the diameter at section 1 is d 1 Write the expression for the area at section 2 . A 2 = π 4 d 2 2 (V) Here, the diameter at section 2 is d 2 . Write the expression for the head loss at section 3 . h L 3 = ( V 4 2 2 g ) (VI) Here, the velocity at section 4 is V 4 and the acceleration due to gravity is g . Write the expression for the velocity at section 4 . V 4 = Q A 4 (VII) Here the area at section 4 is A 4 and the discharge rate is Q . Write the expression for the area at section 4 . A 4 = π 4 d 4 2 (VIII) Here, the diameter at section 4 is d 4 . Conclusion: Substitute 5.042 cm for d 1 in Equation (IV). A 1 = π 4 ( 5.042 cm ) 2 = 25.42 π 4 cm 2 ( 1 m 2 100 cm 2 ) = 0.1996 m 2 Substitute 9.919 cm for d 2 in Equation (V). A 2 = π 4 ( 9.919 cm ) 2 = 98.386 π 4 cm 2 ( 1 m 2 100 cm 2 ) = 0.7727 m 2 Substitute 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 8.5, Problem 110P

To determine

The head loss for a water flow rate of 0.05 m3/s.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.5, Problem 109P

Chapter 8.5, Problem 111P

Students have asked these similar questions

Q Derive (continuity equation)? I want to derive clear mathematics.

motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine: a) the minimum permissible diameter for aluminum shafts (1) and (2) b) the minimum permissible diameter for steel shaft (3). c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).

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

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.