Question

A centrifugal water pump running at speed ω\omega=800 rpm has the following data for flow rate, Q, and pressure head, Δp\Delta p.

Q (ft3/min)05075100120140150165Δp(psf)7.547.296.856.124.83.032.381.23\begin{matrix} \text{Q (}{ft^{3}/min)} & \text{0} & \text{50} & \text{75} & \text{100} & \text{120} & \text{140} & \text{150} & \text{165}\\ \text{}{\Delta p (psf)} & \text{7.54} & \text{7.29} & \text{6.85} & \text{6.12} & \text{4.8} & \text{3.03} & \text{2.38} & \text{1.23}\\ \end{matrix}

The pressure head is a function of the flow rate, speed, impeller diameter D, and water density ρ\rho. Plot the pressure head versus flow rate curve. Find the two Π\Pi parameters for this problem, and, from the above data, plot one against the other. By using Excel to perform a trendline analysis on this latter curve, generate and plot data for pressure head versus flow rate for impeller speeds of 600 rpm and 1200 rpm.

Solution

Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 12

Given:

Δp=Δp(Q,ω,D,ρ)\begin{aligned} \Delta p=\Delta p(Q, \omega, D, \rho) \end{aligned}

Find:

The dimensionless parameters, plot one dimensionless parameter against the other one.

Assumptions and principles:

In order to find the non dimensional form of the function, Buckingham Pi Theorem will be used. With this theorem in six easy steps non dimensional groups for the given function will be obtained.

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Recommended textbook solutions

Fundamentals of Electric Circuits 6th Edition by Charles Alexander, Matthew Sadiku

Fundamentals of Electric Circuits

6th EditionISBN: 9780078028229 (12 more)Charles Alexander, Matthew Sadiku
2,120 solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4th Edition by Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (5 more)Randall D. Knight
3,508 solutions
Advanced Engineering Mathematics 10th Edition by Erwin Kreyszig

Advanced Engineering Mathematics

10th EditionISBN: 9780470458365 (6 more)Erwin Kreyszig
4,134 solutions
Fox and McDonald's Introduction to Fluid Mechanics 8th Edition by Philip J. Pritchard

Fox and McDonald's Introduction to Fluid Mechanics

8th EditionISBN: 9780470547557 (1 more)Philip J. Pritchard
1,556 solutions

More related questions

1/4

1/7