Fluid mechanics I A velocity field is given by v = 2y^+-2x] (a) Is the flow...
1) A velocity field is given by V = ax?i-bxyl, where a = 2 m-'s-1 and b = 4 m-'s-1. (5 points) is the flow field one, two, or three-dimensional? Why? Is it steady? Why? (15 points) Find the equation of the streamline passing through the point (x,y) = (2,1).
5) The velocity field for a 2D U=(x-2y)t Ň - (2x+y)t flow Ý is: a) Is this How incompressible? irrotational? 6) Find the acceleration of a Fluid element in this c) Find 0 and 4 for this flow . flow
If the velocity field for a flow is given as V = był + 3x9 [m/s] Determine the equation of the streamline, and evaluate said streamline for the point (1, 2)
Given the velocity field V =107 +(x + y2)7-2xyk [m/s] Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m?
11) (6 points) Given the velocity field V =101 +(x2 + y2); -2xy [m/s] a) b) c) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
Given the velocity field V = 101 +(x² + y2); - 2xy k [m/s] a) b) c) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of(x,y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
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.
Ila A three-dimensional velocity distribution is given by u=-x, v-2y, w-5-. Find the equation of the streamline through (2,1,1). Ans:x,5-2-(5-z)/x A three-dimensional velocity distribution is given by u=-x, v=2y, w= 6-2. Find the equation of the streamline through (1,2,3). Ans : xv) 1414 and (6-2)/x = 3 fundb L
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx; the coordi nates are measured in meters and A 3.28 m There is no velocity component or variation in the z direction. Calculate the acceleration of a fluid particle at poin (x, y)- (0.3, 0.6). Estimate the radius of curvature of the streamline passing through this point. Plot the streamline and show both the velocity vector and the acceleration vector on the plot. (Assume...
2- Determine the stream function that yields the velocity field V=2y(2x+1) 7+[x(x+1)-2y?]/ 3. A steady three-dimensional volocity field is riuen hu