wahaj said:After I have an expression for the stream-function in a problem, I can differentiate to get the tangential and radial velocities because I need those to solve the problem. But I don't understand when the tangential velocity will be 0 and when the radial is 0. Can some on explain?
Radial velocity refers to the component of fluid motion that is directed towards or away from the center of rotation, while tangential velocity is the component that is perpendicular to the radial direction.
In inviscid flow, the fluid is assumed to have no viscosity, which means there is no friction between layers of fluid. This allows us to use the Euler equations to calculate the velocities, where the radial velocity is determined by the pressure gradient and the tangential velocity is determined by the vorticity of the flow.
Radial and tangential velocities are important parameters in fluid mechanics as they help us understand the flow patterns and forces acting on a fluid. They also play a crucial role in determining the behavior of fluid systems, such as in fluid machinery and aerodynamics.
Inviscid flow is an idealized flow model that assumes no friction or viscosity between layers of fluid. In contrast, viscous flow takes into account the effects of viscosity on the fluid's behavior. This means that in viscous flow, there is a transfer of momentum between layers of fluid, resulting in shear forces and dissipation of energy.
Yes, radial and tangential velocities can change during fluid flow due to changes in pressure or vorticity in the flow. These changes can be calculated using the Euler equations for inviscid flow. Additionally, external forces, such as gravity or applied forces, can also alter the velocities of the fluid.