Question 3 1 pts The stream function for a 2D steady flow is given in ft/sec...
Problem #5 Consider a steady, incompressible, inviscid two-dimensional flow in a corner, the stream function is given by, -xy a) Obtain expressions for the velocity components u and v b) If the pressure at the origin, O, is equal to p o obtain an expression for the pressure field Sketch lines of constant pressure c)
4) Stream function Consider a steady, 2D, incompressible flow with velocity field u(,0, where U, h are constants. Determine the stream function p for this flow. For simplicity take ( 0)0
Describing Velocity Fields and Stream Lines A velocity field is given by, V= -yi + xj a) Remark on the dimensionality, directionality and steadiness of the flow b) Calculate the equation for the stream lines c) Sketch (by hand) the streamlines through point x=2, y=0 and x=3, y=0 d) Describe in words what the flow pattern look like? Which of the following situations does the flow look like: Flow over a cylinder, flow into an acute corner, flow into 90...
3. (25pts) An idealized velocity field is given by the formula V = 4txi – 2t2 yj + 4xzk a) Is this flow steady or unsteady? b) Is this flow 1D, 2D or 3D? c) Compute the acceleration vector a = axi + ayj + a_k d) Compute the acceleration vector at (1,1,1)
The stream function for a certain incompressible flow field is given by the expression Ψ = -Ur sin θ + qθ/2π. (a) Obtain an expression for the velocity field. (b) Find the stagnation point(s) where | V | = 0.
Question 5 2 pts Consider the utility function given by u(x, y) = xy. Which of the following is the correct expression for the indirect utility function associated with these preferences? (hint: solve the UMP) V (PE, Py, I) = p.png O none of the other answer choices are correct o V (Pa, Py, 1) = 2 PEPA V (pas Py, I) = 1PER,
help 1. A 2D inviscid flow field is represented by the velocity potential function: ° = Ax + Bx2 – By2. Where A = 1m/s, B = 15-7, and the coordinates are measured in meters. The flow density is p = 1.2 kg/m3. (a) (2 points) Calculate the velocity field. (b) (2 points) Verify that the flow is irrotational. (c) (2 points) Verify that the flow is incompressible. (d) (2 points) Obtain the expression of stream function. (e) (2 points)...
A potential (i.e. steady-state, incompressible, inviscid, irrotational) flow can be described by a stream function w(x,y) that minimizes the functional vlv(x,y)- Admissible stream functions v(x,y) must be twice continuously differentiable and satisfy given }ady n( boundary conditions. Determine the Euler-Lagrange (Ostrogradski) equation
Steady flow (2) 2 ft Dia = 0.12ft 0(1) Gage pressure is zero 3 ft Dia = 0.1 ft Free Jet Given: Gage pressure at point (1) is zero Non-viscous flow Ywater = 62.4 Lbf/ft3 Find: Pressure in Lbf/ft? at point (2) Flow rate in ft/sec at point (2)
A flow is described by the stream function U = (9x - 5y) m/s, where I and y are in meters. Part D Choose the correct expression for the average angular velocity + + o ws=1 (en en) Submit Request Answer Part E Determine if the flow is rotational or irrotational. Choose the option with correct explanation. Since w =0, the flow is irrotational. Since w =0, the flow is rotational. Since w, 70, the flow is irrotational Since w,...