Question

Consider the following steady, incompressible, two- dimensional velocity field: ecV=(u,v)=(4.35+0.656x)eci+(−1.22−0.656y)ecj. Generate an analytical expression for the flow streamlines and draw several streamlines in the upper-right quadrant from x = 0 to 5 and y= 0 to 6.

Answer 1

Answer:

Generated analytical expression is:

y = C / [0.656*(4.35 + 0.656x)] - 1.859

C is constant.

Explanation:

Steps to generate an analytical expression for the flow streamlines and draw several streamlines in the upper-right quadrant from x = 0 to 5 and y=0 to 6. the following steps are listed.

Step 1: Write the velocity field.

Step 2: Write the 'x' and 'y' component of the velocity field for two dimensional study flow.

Step 3: Write the streamline function.

Step 4: Integrate to obtain the streamline's equation.

Step 5: Plot the streamline field.

See workings in picture attached.