Question

Problems on stream function, velocity and acceleration in fluid mechanics

Answer 1

Examples 1

The flow field of a fluid is given by . Show that it represents a possible three-dimensional incompressible flow. Also verify whether the flow is rotational or irrotational. If rotational, then determine at a point : (a) angular velocity; (b) vorticity; (c) shear strain; (d) linear strains.

Answer 2

The flow velocity components can be expressed as the derivatives of the scalar stream function. The stream function can be used to plot streamlines, which represent the trajectories of particles in a steady flow. ... Taken together with the velocity potential, the stream function may be used to derive a complex potential.