The stream function for steady, in compressible flow is given by y 2 xy x 2 Determine the velocity components for this flow, and find out whether the flow is rotational or irrotational

Question: The stream function for steady, in-compressible flow is given by = y 2 xy x 2 . Determine the velocity components for

The stream function for steady, in-compressible flow is given by ψ = y² xy x². Determine the velocity components for this flow, and find out whether the flow is rotational or irrotational.

Step by Step Solution

★★★★★

3.43 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We define the stream function by y v x and x v y Thus v x y 2y x ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Fundamentals Momentum Heat Questions!

The stream function for steady, in-compressible flow is given by (x,y) = 2x 2 - 2y 2 - xy Determine the velocity potential for this flow.

Prove that the velocity potential and the stream function for a source flow, Eqs. (3.67) and (3.72), respectively, satisfy Laplace's equation.

Find the stream function for a flow with a uniform free stream velocity v . The free-stream velocity intersects the x axis at an angle .

1. A 2-dimensional (x-y), steady, incompressible flow is described by Cartesian velocity components u, v: u = x and v = -y. o Write a concise, technically precise, verbal description of how the...

Consider the two - dimensional steady incompressible flow of water with a velocity potential function of , O ? = A x + B x 2 - B y 2 , where x and y are measured in meters, A and B are 1 m s and 1 s...

Consider the two - dimensional steady incompressible flow of water with a velocity potential function of , = A x + B x 2 - B y 2 , where x and y are measured in meters, A and B are 1 m s and 1 s - 1...

For a flow in the x y plane, the x component of velocity is given by u = A x 2 y 2 , where A = 0 . 3 m - 3 s - 1 , and x and y are measured in meters. Find a possible y component for steady,...

1. Steady inviscid incompressible shear flow past a circular cylinder of radius a is given by the stream function 4 = = Ursing (1-2)+ [1-(1-2)] 20 where (r, 0) are the radial and azimuthal components...

The stream function for a flow field is given as: p= K (x y) + K ln(x + y) where K and K are constant. a) Find the stagnation point(s) coordinates in terms of K and K i.e. where u=0 and v=0. b) Is...

The velocity vector for the motion of an incompressible fluid is: . ln ) 1 ( ln ) 1 ( 2 2 j t t y x i t t y y x j v i u V ( a ) Is the flow steady or unsteady? WHY? ( b ) What is the number of...

Given the following prices (copied from the lab manual), calculate the cost of 25 mL of HCl. Cost of HCl = $29.50 per 20L bottle. Cost of HOAc = $61.31 per 20L bottle. Cost of NaOH = $44.96 per 20L...

Discuss the role of music in advertising. Find an example of a television commercial that is using a song and discuss the role the music plays in delivering the message.

1 0 . LO 4 . 5 Why are the overhead costs first accumulated in the manufacturing overhead account instead of in the work in process inventory account?

5.9 For inverse binomial sampling (see Example 3.2): (a) Show that the best unbiased estimator of p is given by (Y )=(m1)/(Y+m 1). (b) Show that the information contained in Y about P is I (p) =...

Consider the simulation results for PID control in Figs. 8.15 and 8.16. Note that the u I response in Fig. 8.16 changes monotonically. Do you think this feature is typical of u I responses for other...

Consider a standard feedback control system where each component is functioning properly. Briefly indicate whether you agree or disagree with the following statements: (a) For proportional-only...

Consider the liquid storage system in Fig. E8.13. Suppose that q 1 must be kept constant, and, consequently, h 2 is to be controlled by adjusting q 2 . Suppose that the q 2 control valve is...

3 1.0892 -1 =1.028891 Can you please explain how to use this feature in a BAII calculator (or any ideas). Thank you

Rob plc has decided that in order to make better investment appraisal decisions they need to re-calculate the company's cost of capital. The following information is from the company's statement of...

Use following information to calculate Net Operating Profit After Tax (NOPAT) for Walmart for 2011: A. $16,487 B. $17,222 C. $29,435 D. $13,987 E. $12,976 WALMART INCOME STATEMENT 2010 TOTAL REVENUES...