What is stream function?

What is stream function?

The stream function is a function of coordinates and time and is a three-dimensional property of the hydrodynamics of an inviscid liquid, which allows us to determine the components of velocity by differentiating the stream function with respect to the given coordinates.

What is Stokes stream function explain?

In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry. A surface with a constant value of the Stokes stream function encloses a streamtube, everywhere tangential to the flow velocity vectors.

What is unit of stream function?

Stream function represents volumetric flux . i.e. volumetric flow rate per unit area. Units of stream function are kg/ms.

What is stream function and potential function?

Introduction. The stream function, ,, is a function specially suited for dealing with two- dimensional flow while the velocity potential, f, is a function which may be. used with either two- or three-dimensional flow.

What is vorticity and stream function?

The vorticity-streamfunction method is a powerful way of solving two-dimensional flow. problems for a homogeneous, incompressible fluid. It is conventional to choose a rectan- gular coordinate system (x, y), with x pointing eastwards and y pointing northwards.

What is streamline flow give example?

The classic example of streamline flow to turbulent flow is the formation of white-water rapids when a fast-moving stream comes in contact with rocks.

What is PATH line and streamline?

Thus a path line indicates the direction of velocity of the same fluid particle at successive instants of time. While a streamline shows the direction of velocity of a number of fluid particles at the same instant of time.

What is streamline flow derive equation of continuity?

The streamlines in a laminar flow follow the equation of continuity, i.e., Av = constant, where, A is the cross-sectional area of the fluid flow, and v is the velocity of the fluid at that point. Av is defined as the volume flux or the flow rate of the fluid, which remains constant for steady flow.

What is the stream line?

A streamline is a line that is tangential to the instantaneous velocity direction (velocity is a vector, and it has a magnitude and a direction). To visualize this in a flow, we could imagine the motion of a small marked element of fluid.

What is stream line flow?

Definition of streamline flow : an uninterrupted flow (as of air) past a solid body in which the direction at every point remains unchanged with the passage of time : laminar flow — compare turbulent flow.

What is the streamline flow?

What is streamline flow example?