Question

A two-dimensional velocity field is given by u = 1 + y and v = 1. Determine the equation of the streamline that passes through the origin. On a graph, plot this streamline

Answer 1

To find the equation of the streamline that passes through the origin, we need to substitute the origin coordinates into the given equations for u and v. The equation of the streamline that passes through the origin is u = 1 and v = 1.

Step-by-step explanation:

In order to determine the equation of the streamline that passes through the origin, we need to find the equation of the curve defined by u and v. We are given that u = 1 + y and v = 1.

To find the equation of the streamline that passes through the origin, we can substitute the coordinates of the origin (0,0) into the equations for u and v. Plugging in y = 0 into the equation u = 1 + y, we find that u = 1. Plugging in y = 0 into the equation v = 1, we find that v = 1.

Thus, the equation of the streamline that passes through the origin is u = 1 and v = 1.