Under what conditions streamline Pathline and streakline are identical in steady flow?

A fluid particle always moves tangent to the streamline thus, for steady flow, the path lines and streamlines are identical. Streak Line – The instantaneous pictures of the position of all fluid particles, which have passed through a given point at some previous time are called streak lines or filament lines.

In which flow streamline streakline Pathline are the same?

A pathline is a path which a fluid particle traces. One example of a pathline is the path defined by a balloon floating in the air. For a flow which does not change with time, the streamline, streakline, and pathline are the same line. A flow which does not change with time is called a steady-state flow .

Are streamline curves the same as Pathline curves?

Streamlines are a family of curves that are instantaneously tangent to the velocity vector of the flow. These show the direction in which a massless fluid element will travel at any point in time. Pathlines are the trajectories that individual fluid particles follow.

Is streamline and steady flow same?

streamline, In fluid mechanics, the path of imaginary particles suspended in the fluid and carried along with it. In steady flow, the fluid is in motion but the streamlines are fixed.

How does streamlines differ from Streak lines?

A streamline is a line that is everywhere tangent to the instantaneous local velocity vector. A streamline represents a velocity path. A streakline is the path that a particle will follow in the flow, the locus of particles that have passed sequentially through a prescribed path in the flow.

Why do two streamlines not intersect each other?

Two streamlines cannot cross each other, because there will be two velocities at the point of intersection, which is not possible. On similar note, mass cannot cross a streamline.

What is uniform and non uniform flow?

• uniform flow: If the flow velocity is the same magnitude and direction at every. point in the fluid it is said to be uniform. • non-uniform: If at a given instant, the velocity is not the same at every point the flow is non-uniform.

What is streamline 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.

Can flow across a streamline?

Since the velocity at any point in the flow has a single value (the flow cannot go in more than one direction at the same time), streamlines cannot cross.

Is streamline flow and laminar flow same?

In laminar flow, sometimes called streamline flow, the velocity, pressure, and other flow properties at each point in the fluid remain constant. Laminar flow over a horizontal surface may be thought of as consisting of thin layers, or laminae, all parallel to each other.

What is not associated with the streamlines in the following?

9. Which of the following is not related to the streamlines? Explanation: Mass is not related to the streamlines because the velocity does not have normal component, it flows in a straight direction and does not have any normal components either and hence, the mass cannot cross the streamline.

Why a streamline Cannot intersect itself nor can any streamline intersect another streamline?

Explanation: A streamline is defined as an imaginary line within the flow such that the tangent at any point on it indicates the velocity at that point. At a point, there can only be one direction of velocity. Hence, neither can a streamline intersect itself nor can two streamlines cross each other.

Why do the pathlines and streaklines coincide in steady flow?

In steady flow (when the velocity vector-field does not change with time), the streamlines, pathlines, and streaklines coincide. This is because when a particle on a streamline reaches a point, . As the equations that govern the flow remain the same when another particle reaches .

What is the difference between streamlines and streaklines?

Streamlines are a family of curves that are instantaneously tangent to the velocity vector of the flow. These show the direction a massless fluid element will travel in at any point in time. Streaklines are the locus of points of all the fluid particles that have passed continuously through a particular spatial point in the past.

What is a Streamline in fluid mechanics?

Streamlines are imaginary lines that represent the direction of the flowing fluid at a certain point in time (the direction of flow velocity is tangential to the streamline). Only in a steady flow are streamlines identical to pathlines.

What is a Streamline in flowcharting?

Streamline, pathline, streakline and timeline form convenient tools to describe a flow and visualise it. They are defined below. A streamline is one that drawn is tangential to the velocity vector at every point in the flow at a given instant and forms a powerful tool in understanding flows.