The following equation is a classic function for potential of fluid flow: phi= -a/2 (x2–y2)Does this equation satisfy the requirement of continuity and irrotationality?
So, this equation satisfies the requirement of continuity and irrationality.
The following equation is a classic function for potential of fluid flow: phi= -a/2 (x2–y2)Does this...
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 following equation has been proposed as a function for the potential function of a fluid flow: $ = 3x²y – 3x – y3 Does this equation satisfy the requirement of irrotationality and continuity?
The following equation has been proposed as a function for the potential function of a fluid flow: 0 = 3x²y - 3x - y Does this equation satisfy the requirement of irrotationality and continuity?
The following equation has been proposed as a function for the potential function of a fluid flow: $ = 3x²y – 3x - y3 Does this equation satisfy the requirement of irrotationality and continuity? Bonus: Write the velocity profiles vx and vy (1 pt)
The following equation has been proposed as a function for the potential function of a fluid flow: 0 = 3x?y - 3x - y Does this equation satisfy the requirement of irrotationality and continuity? Bonus: Write the velocity profiles vx and yy (1 pt)
The following equation has been proposed as a function for the potential function of a fluid flow: ° = 3x²y – 3x - y3 Does this equation satisfy the requirement of irrotationality and continuity? au Bonus: Write the velocity profiles vyand v, (1 pt) са
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).
2) The stream function and potential function for inviscid flow satisfy the continuity equation and the conservation of momentum equation. True or False. Explain ? note: this question using the book Fundamentals of Momentum, Heat and Mass Transfer, Sixth Edition “ chapter 10 “
Incompressible fluid flow field 2. (a) An incompressible fluid flow field is given as Vx = x2+y+z2 and Vy=xy+yz+z, what is V?=? that satisfies continuity equation? (b) Plot the 2-D flow field represented by Vx=2y, Vy=4x. First obtain an expression for stream function, and then plot flow lines corresponding to constant stream function values.
1.1) Complete the following sentence: In any two- dimensional flow, the . exists and it must satisfy the...... function 1.2) A velocity potential function for a flow is given by the following expression Check if the irrotationality is satisfied by this velocity potential function 1.3) determine the corresponding stream function (v) for this flow