The following equation has been proposed as a function for the potential function of a fluid...
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
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?
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 is a classic function for potential of fluid flow: phi= -a/2 (x2–y2)Does this equation satisfy the requirement of continuity and irrotationality?
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.
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 “
In addition, derive the "wave equation" for an incompressible
fluid. Use the continuity equation and the linearized euler
equation.
Linearized Euler:
A flow is incompressible if a fluid element does not change its density as the element moves. From Problem 54.1, this means (7p/dt) u . ρ-0. (a) Show that for an incompressible fluid the equation of continuity reduces to V -u -0. (b) Write Euler's equation for the flow of an incompressible fluid. (c) What is c for an...
Given the following velocity field: [5Pts] P = [yº – x (x + 1)] 1 + [y (2x + 1)] a. Is it a steady flow? b. Does it satisfy the continuity equation? C. Is this a potential/irrotational flow? [2Pts] [2Pts] [1Pts]