Explanation The given ducts have different aspect ratio but the cross sectional of the ducts are same. Hence the velocities of the ducts are also same. V 1 = V 2 = V Write the expression for the frictional loss equation for pipe 1 per unit length. ( h L L ) 1 = f 1 D H 1 ⋅ V 2 2 g (I) Here, length of friction factor for pipe 1 is f 1 , diameter of the pipe is D H 1 ,acceleration due to gravity is g . Write the expression for the frictional loss equation for pipe 1 per unit length. ( h L L ) 2 = ( f 2 D H 2 ) ⋅ V 2 2 g (II) Here, length of friction factor for pipe 2 is f 2 and diameter of the pipe is D H 2 Find out the ratio of head loss in the both the ducts. ( h L L ) 1 ( h L L ) 2 = f 1 f 2 ⋅ D H 2 D H 1 (III) Calculate the area of the duct (1). A 1 = L B = a 1 × 2 a 1 = 2 a 1 2 Calculate the area of the duct (2). A 2 = L B = a 2 × 2 a 2 = 2 a 2 2 Write the relation between the area (1) and (2). A 1 = A 2 (IV) Substitute 2 a 1 2 for A 1 and 4 a 2 2 for A 2 in equation (IV). 2 a 1 2 = 4 a 2 2 a 1 2 = 2 a 2 2 a 1 = 2 a 2 Calculate the rectangular ducts. D H = 2 a b a + b (V) Here, height is h and width is b . Substitute a 1 for a and b 1 for b in equation (V). D H 1 = 2 a 1 ( 2 a 1 ) a 1 + 2 a 1 = 4 a 1 2 3 a 1 D H 1 = 4 3 a 1 Substitute 2 a 2 for a 1 in equation (VI). D H 1 = 4 3 2 a 2 (VI) Substitute a 2 for a and 4 a 2 for b in equation (V)

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

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Videos

Question

Chapter 8.4, Problem 60P

To determine

Identify the pipe which has greater friction loss compare to another pipe.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.4, Problem 59P

Chapter 8.4, Problem 61P

Students have asked these similar questions

Q6/ A helical square section spring is set inside another, the outer spring having a free length of 35 mm greater than the inner spring. The dimensions of each spring are as follows: Mean diameter (mm) Side of square section (mm) Active turns Outer Inner Spring Spring 120 70 8 7 20 15 Determine the (1) Maximum deflection of the two springs and (2) Equivalent spring rate of the two springs after sufficient load has been applied to deflect the outer spring 60 mm. Use G = 83 GN/m².

Q2/ The bumper springs of a railway carriage are to be made of rectangular section wire. The ratio of the longer side of the wire to its shorter side is 1.5, and the ratio of mean diameter of spring to the longer side of wire is nearly equal to 6. Three such springs are required to bring to rest a carriage weighing 25 kN moving with a velocity of 75 m/min with a maximum deflection of 200 mm. Determine the sides of the rectangular section of the wire and the mean diameter of coils when the shorter side is parallel to the axis of the spring. The allowable shear stress is not to exceed 300 MPa and G = 84 kN/mm². Q6/ A belical

11. A load of 2 kN is dropped axially on a close coiled helical spring, from a height of 250 mm. The spring has 20 effective turns, and it is made of 25 mm diameter wire. The spring index is 8. Find the maximum shear stress induced in the spring and the amount of compression produced. The modulus of rigidity for the material of the spring wire is 84 kN/mm². [Ans. 287 MPa; 290 mm]

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.