Question: A two-dimensional flow field is defined by u = x 2 y 2 and v = 2xy. Is the flow rotational or irrotational?

A two-dimensional flow field is defined by u = x2 – y2 and v = –2xy. Is the flow rotational or irrotational?

Step by Step Solution

★★★★★

3.35 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Given velocity components in x and y dir... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

2109_61d6ac346869e_873598.pdf

180 KBs PDF File

Word file Icon

2109_61d6ac346869e_873598.docx

120 KBs Word File

Students Have Also Explored These Related Engineering Fluid Mechanics Questions!

Q:

The stream function for an in-compressible, two dimensional flow field is = 3x 2 y + y For this flow field, sketch several streamlines.

Q:

The stream function for an in-compressible, two dimensional flow field is = 2r 3 sin 3 For this flow field, plot several streamlines for 0 /3.

Q:

Two vectors are defined as u = j + k and v = i + j. Evaluate: A) u + v B) u - v C) u . v D) u x v

Q:

A two - dimensional flow field is defined byu = ( 0 . 2 5 x ) m / s and v = ( 2 t ) m / s , where x is in metersand / is in seconds. Determine the position ( x , y ) of a particlewhen / = 2 s if the...

Q:

Consider the two-dimensional flow field in which u = Ax?/y and v = BxIny., where A =25, B=-4 5", and the coordinates are measured in meters. a. Is this flow incompressible? b. Determine the strain...

Q:

In Question 3, part (a) is a separate question from part (b). Useful information: 0 ao u= (1) (a) In Cartesian coordinates, the velocity components in the x and y direction of an incom- pressible,...

Q:

A 2D steady, incompressible and inviscid flow field is defined by the velocity vector components: i) ii) i) u=-2xy ii) v=y - x Determine if the flow is irrotational? Problem T7.2 A 2D steady,...

Q:

Consider the steady, incompressible, two-dimensional flow field of Prob. 464. Using the results of Prob. 464(a), do the following: (a) From the fundamental definition of shear strain rate (half of...

Q:

Converging duct flow (Fig. P417) is modeled by the steady, two-dimensional velocity field of Prob. 417. Is this flow field rotational or irrotational? Show all your work. Data from Problem 17....

Q:

Mr Black owns a fee simple and enters into a contract of sale with Mr Brown who pays a deposit and agrees to a settlement in three months' time. Prior to settlement, Mr Brown asks to view the title...

Q:

Use a software program or a graphing utility with matrix capabilities to find the transition matrix from B to B'. B = {(1, 2, 2), (-1, 2, 0), (2, 4, 0)}, B' = {(0, 2, 1), (-2, 1, 0), (1, 1, 1)}

Q:

Mr . E donated stock, which he had held for 1 0 months, to his church. The stock had a fair market value of $ 1 , 0 0 0 at the time of the gift, but had only cost Mr . E $ 8 0 0 . What amount can he...

Q:

1. As a class, pick several neighborhood bars close to campus or near downtown. Each person should write a mission statement for that bar. Compare the mission statements generated.

Q:

The dimensionless parameters for a ball released and falling from rest in a fluid are \[ \mathrm{C}_{\mathbf{D}}, \quad \frac{g t^{2}}{D}, \quad \frac{ho}{ho_{b}}, \quad \text { and } \quad \frac{V...

Q:

The basic equation that describes the motion of the fluid above a large oscillating flat plate is \[ \frac{\partial u}{\partial t}=v \frac{\partial^{2} u}{\partial y^{2}} \] where \(u\) is the fluid...

Q:

A student drops two spherical balls of different diameters and different densities. She has a stroboscopic photograph showing the positions of each ball as a function of time. However, she wants to...

Q:

(Multiple Choice) - must show work for each question on this part, including the formulas you use to arrive at the answer, if any. 7. The test scores for the Law School Admission test (LSAT) in a...

Q:

Statistics Question A Statistics professor has observed that for several years students score an average of 114 points out of 150 on the semester exam. A salesman suggests that he try a statistics...

Q:

Which one of the following is not a reason to create large financial holding companies? Financial holding companies Multiple Choice offer a wide array of services under one brand name need only one...