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find the value of c which will ensure that the following function ? describes an incompressible potential flow:
An incompressible plane flow has the velocity potential - 2Bxy, where is a constant 2. value 10.00 points Find the stream function of this flow O-B(y-7)+const OU-B(y2 + 2*) + const Ov-B(y? - ??) + const O-B(x+y)+const Check my work 3. value 10.00 points The interpretation of the flow pattern of the above streamlines represents stagnation flow turned 90° to the left True False
Find the value of C for which the following function will be a probability function. (c) f(x)= cx" (1 – x)°, 0<x< 1
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
2.) For steady, incompressible flow which of the following values of velocity compo are possible? In other words, which fluid fields (a) and (b) will flow? a.) u = 3xy + y2,v = 5xy + 2x b.) u = 3x2 + y2,v = -6xy
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.
For which of 'water' flow velocities at 200C can we assume that the flow is incompressible ? a. 1000 km per hour b. 500 km per hour c. 2000 km per hour d. 200 km per hour
Given the velocity potential for a 2-D incompressible flow, (x, y) = xy + x2 - y2 (a) Does the potential satisfy the Laplace Equation (i.e. V20 = 0)? What is the physical intepretation of this? (b) Find u(x,y) and v(x,y) (the corresponding velocity field of the flow). (c) Does the stream function y (x,y) exist? If so: (a) Find the stream function. (b) Find the implicit equation of streamline that passes through (x,y) = (1, 2).
5. The following equation is a classic function for potential of a fluid flow: $ = -a/2 (x² - y2) Does this equation satisfy the requirement of continuity and irrotationality? (10 pts)
The stream function for an incompressible, two- dimensional flow field is v-ay-by where a and b are constants. a) Is this an irrotational flow? Governing Equation:
The potential function, ф, of the flow past a corner is provided by the following equation, where n is a constant that depends on the angle between the two walls (see Figure below) 600 Figure 2: Stream function in proximity of two walls at an angle of 60° . Determine the stream function, ψ, associated to the potential function and discuss the relationship between ψ and φ. . Determine the constant n corresponding to an angle of 60° between the...