Question

The velocity field for a flow is given by V = ut + vj + wk where u = 3x, y = -2y and w = 2z. Find the streamline that will pass through the point (1, 1, 0).

Answer 1

To find the streamline that passes through a given point using a velocity field equation, set up the equation dx/u = dy/v = dz/w and substitute the given values to find the equation of the streamline.

Step-by-step explanation:

To find the streamline that will pass through the point (1, 1, 0), we need to set up an equation using the given velocity field equation. The equation for a streamline is dx/u = dy/v = dz/w, where dx, dy, and dz are infinitesimal changes in x, y, and z, and u, v, and w are the components of the velocity field. By substituting the given values into the equation, we can find the equation for the streamline that passes through the point (1, 1, 0).