How can we prove that a flow is incompressible if the velocity field is known?
The radial component of a velocity field in an incompressible, 2D, flow field is measured to be Use the continuity equation to calculate ve
The y component of velocity in a steady, incompressible flow field in the xy plane is v = -Bxy3, where B = 0.7 m-3 · s-1, and x and y are measured in meters. (a) Find the simplest x component of velocity for this flow field. (b) Find the equation of the streamlines for this flow (use C as constant).
Problem #7 (10 pt). The velocity field of a frictionless, incompressible, and steady-flow is given by V = 2xi +x+yj The gravity effect can be neglected. Find an expression for the pressure gradient in the x-direction.
The x and y components of the velocity field of a three-dimensional incompressible flow are given by U = xv; V = -y-1 Find the expression for the z component of the velocity that vanishes at the origin.
A two dimensional incompressible flow is given by the velocity field V = 3yi + 2xj, in arbitrary units. Does this flow satisfy continuity? If so, find the stream function ψ(x,y) and plot a few streamlines, with arrows.
PTUURBIJ + 5. Velocity field of a 2-dimensional flow motion of an inviscid and incompressible fluid is given by, u=x', v=y', w=0 a) Fluid velocity and the magnitude of velocity at a point M(-3,2). b) Fluid acceleration and its magnitude at a same point.
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.
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...
1) What is the equation for the volumetric strain rate? (Hint: Uses dot product). incompressible flow be determined from the volumetric strain rate? Given the velocity field V= (u, v) (0.75+1.2x) +(2.25-1.2y ), determine if the flow is incompressible or compressible. (20 pts) How can 2) What is the equation for vorticity? (Hint: Uses cross product). How can irrotational flow be determined from vorticity? Given the velocity field V = (u, v) (0.75+ 1.2x)t+ (2.25 1.2y), determine if the flow...
can you solve the last question
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Q1. Consider a steady, two-dimensional, incompressible flow field has the velocity potential a) b) c) 2 (x-7)(x+y) Determine the velocity components and verify that continuity is satisfied. [4 marks] Verify that the flow is irrotational. [2 marks] Determine the corresponding stream function. [4 marks) Now, consider a steady, two-dimensional, incompressible flow defined by velocity components u = ax + b&v=-ay + cx, where a, b and care constants. Neglect gravity. d) e) Show...