Explanation Given information: The surface elevation is equal to 40 m The diameter of the steel pipe is equal to 8 c m The desired flow rate is equal to 200 N / s The volumetric flow rate Q can be defined as below, Q = V A In above equation, V - Velocity of the flow A -Area The energy equation for this problem can be defined as, p 1 ρ g + V 1 2 2 g + z 1 = p 2 ρ g + V 2 2 2 g + z 2 + h f Where head loss h f is equal to, h f = f L D V 2 2 g The Reynolds’s number is defined as, R e = D V ν D - Diameter of the pipe V - Velocity of the flow ν - Kinematic viscosity The friction factor can be determined by, 1 f 1 / 2 ≈ − 1.8 log 6.9 R e + ∈ / d 3.7 1.11 Calculation: To find the velocity of the flow, V = Q A = 200 N s 9.81 m / s 2 1000 π 0.04 m 2 = 4.056 m / s To find the Reynolds’s number, R e = V d ν = 4.056 m / s 0.08 m 1.01 × 10 − 6 m 2 / s = 321267.32 To find the roughness ratio, ε d = 0.05 × 10 − 3 0.08 = 6.25 × 10 − 4 According to the above obtained results, the friction factor will be equal to 1 f 1 / 2 ≈ − 1.8 log 6.9 R e + ∈ / d 3

8th Edition

ISBN: 9789385965494

Author: Frank White

Publisher: MCGRAW-HILL HIGHER EDUCATION

See similar textbooks

Videos

Question

Chapter 6, Problem 6.74P

To determine

The proper length of the pipe

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6, Problem 6.73P

Chapter 6, Problem 6.75P

Students have asked these similar questions

3. The volumetric flow rate of air through a duct transition of the type shown in Table 12-9b (rectangular with two parallel sides) is 2 m3/s. The duct before the transition issquare, with a height of 50 cm. The expansion ratio across the transition is 4 (i.e., theduct area after the transition is 4 times greater than the duct area before the transition).a) Determine the pressure loss (in Pa) across the transition if the exit from the duct isabrupt (i.e., the diverging angle of the transition is 180º).b) Determine the percentage reduction in pressure loss for a transition diverging angleof 20º compared to the one in part (a).c) The head HVAC engineer requires the pressure loss across the transition to bereduced to less than 50% of the pressure loss for an abrupt exit (i.e., the case in part(a)), and suggests a transition diverging angle of 45º. Will this new diverging angleachieve the required reduction in pressure loss? Justify your answer.d) For a transition diverging angle of 90º,…

The wheel shown is made of 2 rings and 8 rods. The otter ring weighs 100 lbs, the inner ring weighs 15 lbs,and each of the rods weighs 20 lbs. Find the moment of inertia of the wheel about an axis that comes directlyout of the page through point A.

Mini project You are an engineer working for a power systems company responsible for ensuring grid stability. Your team has recently observed low-frequency oscillations in the system following disturbances such as load changes, faults, and switching operations. These oscillations have led to voltage instability, frequency deviations, and, in severe cases, system blackouts. A task force has been formed to address this issue, and you have been assigned a critical role in developing a damping control strategy. Your objective is to analyze system performance, propose engineering solutions, and compare the effects of different damping approaches. Answer the following questions 1. Identify the Engineering Problem: - What is the fundamental issue affecting power grid stability? - How do low-frequency oscillations impact the system's reliability? - What parameters indicate system instability? 2. Assess the Current Status Using Equations and Calculations: - Given the characteristic roots of the…

Chapter 6 Solutions

Fluid Mechanics, 8 Ed

Ch. 6 - Prob. 6.1P Ch. 6 - The present pumping rate of crude oil through the...Ch. 6 - The Keystone Pipeline in the chapter opener photo...Ch. 6 - For flow of SAE 30 oil through a 5-cm-diameter...Ch. 6 - In flow past a body or wall, early transition to...Ch. 6 - P6.6 For flow of a uniform stream parallel to a...Ch. 6 - SAE 10W30 oil at 20°C flows from a tank into a...Ch. 6 - P6.8 When water at 20°C is in steady turbulent...Ch. 6 - A light liquid 950kg/m3 flows at an average...Ch. 6 - Water at 20°C flows through an inclined...

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.