Velocity field for this system is:
V=[X^2-(y*z^1/2/t)]i-[z*y^3+(x^1/3*z^2/t^1/2)j+[-x^1/3*t^2/z*y^1/2]k
find the components of acceleration for the system.
Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find
the flux of F across S, the part of the paraboloid x2 + y2 + z = 29
that lies above the plane z = 4 and is oriented upward.
The velocity components of an incompressible, two-dimensional
velocity field are given by the equations u=y^2-x(1+x) v=y(2x+1)
(a)Show that the flow satisfies continuity. (b) Determine the
corresponding stream function for this flow field. (c) Determine if
the flow is irrotational.
A fluid flow field is given by v = x^2yi + y^2zj-(2xyz + z^2)k.
Prove that it is a case of possible steady in compressible flow.
Calculate the velocity and acceleration at the point (2,1,3).
Find the flux of the vector field F =
x i +
e2x j +
z k through the surface S given
by that portion of the plane 2x + y +
8z = 7 in the first octant, oriented upward.