Question

1) Each of the following statements about Buckingham Pi Theorem is true, EXCEPT, a. An equation of k variables can be reduced
5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional average velocity is half of the c
0 0
Add a comment Improve this question Transcribed image text
Answer #1

As per HOMEWORKLIB POLICY, only one question can be answered. So, the first question is answered as the student has not requested for a particular question.

According to buckingham Pi theorm, for an equation with 'k' variables, 'r' dimensions, the equation will have 'k-r' number of dimensionless groups. Hence, the first option (a) is correct. Since, (a) is correct, (b) cannot be correct. Hence, the answer is (b).

Another application of the pi theorem is that, it shows that valid physical equations are unit system independent. Hence, it is applicable for both MLT or FLT system. Hence, option (c) is correct.

It also proves that dimensions of terms on both sides of the equation (before and after "=" , for example in F = ma, the dimensions of F and ma) be same.

Add a comment
Know the answer?
Add Answer to:
1) Each of the following statements about Buckingham Pi Theorem is true, EXCEPT, a. An equation...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • a. 1) Each of the following statements about Buckingham Pi Theorem is true, EXCEPT, An equation...

    a. 1) Each of the following statements about Buckingham Pi Theorem is true, EXCEPT, An equation of variables can be reduced to a function of A- Pis where requals the number of dimensions involved. b. An equation of variables can be reduced to a function of Pis where requals the number of basic dimensions involved e. The theorem applies to either the MLT or the FLT dimension system d. The theorem is based on dimensional homogeneity of an equation that...

  • 5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional...

    5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional average velocity is half of the centerline velocity (i.e. V = 0.5V.) b) The flow Reynolds number is beyond 4100 c) The flow consists of a viscous sublayer, a buffle layer (viscous and turbulent effect both important) and a fully turbulent region up to pipe centerline d) Reynolds-averaged (time mean) velocity is used to describe flow velocity 6) The boundary layer (BL) theory does...

  • 5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional...

    5) The following about turbulent flow in a pipe is true, EXCEPT a) The pipe cross-sectional average velocity is half of the centerline velocity (i.e. V=0.5V.) b) The flow Reynolds number is beyond 4100 c) The flow consists of a viscous sublayer, a buffle layer (viscous and turbulent effect both important) and a fully turbulent region up to pipe centerline d) Reynolds-averaged (time mean) velocity is used to describe flow velocity

  • a. 6) The boundary layer (BL) theory does not apply when the following happens, EXCEPT, the...

    a. 6) The boundary layer (BL) theory does not apply when the following happens, EXCEPT, the Reynolds number based on the linear dimension is very small b. there is a boundary layer separation happening it applies in a turbulent boundary layer on a flat plat d. the linear dimension of an object in the flow direction is very, very small c.

  • QUESTION 1 (T1) What is an adverse pressure gradient? (9.2) A. Where pressure increases with distance...

    QUESTION 1 (T1) What is an adverse pressure gradient? (9.2) A. Where pressure increases with distance downstream O B. Where pressure decreases with distance downstream C. Where pressure is uniform in the flow D. Where pressure is pushing the iow downstream QUESTION 2 (T2) Where does an adverse pressure gradient occur on an airfoil? (9.2) O A. Leading edge O B. Near or after the point of maximum thickness O C.Only in a region where the boundary layer is turbulent...

  • While waiting to catch a commuter train, I was standing just inside the yellow safety line, about...

    While waiting to catch a commuter train, I was standing just inside the yellow safety line, about 1 meter from the platform edge. Little did I know that an Acela train was coming through without stopping. That train was moving at about 60 miles per hour (about 28 meters per second). Estimate the velocity in miles per hour that the wind from the train hit me, 10 seconds after the first car has passed. Suppose that I had stood back...

  • b. A very thin wing section is being tested in a low speed wind-tunnel. Assuming that...

    b. A very thin wing section is being tested in a low speed wind-tunnel. Assuming that the flow on the surface of the wing produce a laminar boundary layer and the velocity profile is given as follows; Determine the theoretical value of; 8" where Rex is the Reynold number at a distance x from the leading edge of the wing, Rei is the Reynolds number at the trailing edge of the wing and Cr (or Cp) is the average skin...

  • Can I get a solution for this question? It's quite hard to solve. There is no reference about and I don't get w...

    Can I get a solution for this question? It's quite hard to solve. There is no reference about and I don't get what this question's purpose is. Is alpha the alpha from bernoulli's equation? Question: An approximate equation for the velocity distribution in a pipe with turbulent flow is where Vmax is the centerline velocity, is the distance from the wall of the pipe, r is the radius of the pipe, and n is an exponent that depends on the...

  • Please answer the most questions you can. 1 Which terms in the Navier-Stokes equations are neglected...

    Please answer the most questions you can. 1 Which terms in the Navier-Stokes equations are neglected in the Euler's equation? Discuss briefly the applicability of the Euler's equation. 2 Is Bernoulli equation valid in the boundary layers? Why? 3 In the Buckingham Pi theorem procedure, If we choose 3 repeating parameters (8%) (6%) and in total there are 6 dimensional parameters, then, how many nondimensional (696) parameters will show in the final functional relation f(?) 4 In chapter 7, when...

  • PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two...

    PROBLEM 1: Answer/Define/Explain shortly and/or Fill in the blanks (40 P) a) What are the two types of energy transfer in Convection? b) A thermal boundary layer must develop if ....... c) Define the critical Reynolds number. d) What are the assumptions for Boundary Layer Equations for Laminar Flow? e) Define the Nusselt number. f) Define the Prandtl number. g) How the Pr influences the relative growth of the boundary layers, explain briefly ? h) Explain favorable pressure gradient. i)...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT