Question

The stream function for a given 2-D horizontal flow field is ψ = 4x^3 −12xy^2 ,...

The stream function for a given 2-D horizontal flow field is ψ = 4x^3 −12xy^2 , where the stream function has a unit of cubic meter per minute, while x and y in meters.

a) Determine the flow velocity at two points in the flow field, A at (2, 0) and B at (0, 2).

b) Estimate the rate of flow across the straight line between A and B.

c) Show evidence that the flow is irrotational.

d) Determine the pressure difference between points A and B.

e) Determine the velocity potential for this flow field.

Homework Answers

Know the answer?
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
Similar Questions
The stream function for a given 2-D horizontal flow field is 3 2 ψ = 4x...
The stream function for a given 2-D horizontal flow field is 3 2 ψ = 4x −12xy , where the stream function has a unit of cubic meter per minute, while x and y in meters. a) Determine the flow velocity at two points in the flow field, A at (2, 0) and B at (0, 2). b) Estimate the rate of flow across the straight line between A and B. c) Show evidence that the flow is irrotational.
1.) The velocity field of a flow is given by V=2(-x+y)i+(3x2+2y)j (a) find the stream function....
1.) The velocity field of a flow is given by V=2(-x+y)i+(3x2+2y)j (a) find the stream function. (b) Determine the vorticity. (c)Find the velocity potential if possible.
Discuss under what conditions do both the stream function ψ and the velocity potential ϕ exist...
Discuss under what conditions do both the stream function ψ and the velocity potential ϕ exist for a flow field? When does one exist but not the other?
Problem 3 (a) Show that a constant value in the stream function Ψ between the two...
Problem 3 (a) Show that a constant value in the stream function Ψ between the two points P(x, y) and Q(x + dx, y + dy) is a streamline. (b) Sketch the vector field v(x, y) = h2xy, x2 − y2i. Find the stream function for the vector field and the equation of the line that passes through (x, y) = (2, 2). Draw the resulting streamline on your vector plot. for question b), the v(x,y) is (2xy,x^2-y2)
1.)The velocity field of a flow is given by V=a(x2-y2)i-2axyj (a) Determine the convective acceleration in...
1.)The velocity field of a flow is given by V=a(x2-y2)i-2axyj (a) Determine the convective acceleration in the y direction. (b) Check if continuity equation is satisfied. (c)determine the vorticity. (d) Find the stream function.
1.2 A horizontal Venturi meter is used to measure the flow of water in a 400mm...
1.2 A horizontal Venturi meter is used to measure the flow of water in a 400mm diameter pipe. The throat diameter of the Venturi meter is 100mm and the the discharge coefficient is 0.85. if the pressure difference between the two measurement points is 10cm of mercury, then calculate the average velocity in the pipe. take the relative density of mercury as 13.6. b) What diameter pipe would be required to double the capacity for the 400mm concrete conduit pipe...
A particular positron is restricted to one dimension and has a wave function given by ψ(x)=...
A particular positron is restricted to one dimension and has a wave function given by ψ(x)= Ax between x = 0 and x = 1.00 nm, and ψ(x) = 0 elsewhere. Assume the normalization constant A is a positive, real constant. (a) What is the value of A (in nm−3/2)? nm−3/2 (b) What is the probability that the particle will be found between x = 0.290 nm and x = 0.415 nm? P = (c) What is the expectation value...
A stress-crossing overhead transmission line has a span of 150 m over the stream. Horizontal wind...
A stress-crossing overhead transmission line has a span of 150 m over the stream. Horizontal wind pressure is 20 kg/m2 and the thickness of ice is 1.25 cm. Diameter of conductor is 2.80 cm and weight is 1520 kg/km, and an ultimate strength of 12900 kg. Use a factor of safety of 2 and 912 kg/m3 for the weight of ice, determine the following: (a) Weight of ice in kg per meter (b) Total vertical load on conductor in kg/m...
find the following for the function f(x)=3x^2+4x-4 a. f(0) b. f(3) c. f(-3) d. f(-x) e....
find the following for the function f(x)=3x^2+4x-4 a. f(0) b. f(3) c. f(-3) d. f(-x) e. -f(x) f. f(x+2) g. f(4x) h. f(x+h)
Water emerges straight down from a faucet with a 1.80-cm diameter at a speed of 0.500...
Water emerges straight down from a faucet with a 1.80-cm diameter at a speed of 0.500 m/s. (Because of the construction of the faucet, there is no variation in speed across the stream.) 1) What is the volumetric flow rate in cm^3/s? D2 2) BCD on 1. 3) If each droplet of water is in freefall after leaving the faucet, which of the following quantities are the same at a point just leaving the faucet and a point 0.2 m...