# In a two-dimensional, incompressible flow the fluid velocity components are given by u = x – 4y and v = -y – 4x. Show that the flow satisfies the continuity equation and obtain the expression for the stream function. If the flow is potential (irrotational) obtain also the expression for the velocity potential.

Question-AnswerCategory: Fluid MechanicsIn a two-dimensional, incompressible flow the fluid velocity components are given by u = x – 4y and v = -y – 4x. Show that the flow satisfies the continuity equation and obtain the expression for the stream function. If the flow is potential (irrotational) obtain also the expression for the velocity potential.
Tuntun asked 1 year ago

In a two-dimensional, incompressible flow the fluid velocity components are given by u = x – 4y and v = -y – 4x. Show that the flow satisfies the continuity equation and obtain the expression for the stream function. If the flow is potential (irrotational) obtain also the expression for the velocity potential.