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When The Stream Line Streak Line And Path Line Will Be Same?

Stream Line Streak LineParticles may change streamline depending on the type of flow May change from instant to instant.Streamlines cannot intersect with each other, they are always parallel. Streak line changes with time. Two streak lines may intersect each other.

What flow your stream line path line and Streak line coincide?

Describing a Streak Line: a) Let at any instant these particles arrive at points Q, R and S. … c) The path line would coincide with one another in a single curve which will indicate the streak line too. Conclusion: Therefore, in a steady flow, the path lines, streak lines and streamlines are identical.

What is the difference between PATH line and Streak line?

A streakline is a curved line formed by a string of fluid particles which have passed through a certain point. An example of a streakline is the trail of smoke from a chimney. 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.

What is the path represented by the Streamline?

What is the path represented by the streamlines? Explanation: The streamlines represent a path along which the water flows through the subsoil. Every particle entering the upstream will trace its own path and represents its own streamline.

Under what conditions streamline streakline and pathline are identical?

In general, a streamline, streakline and pathline are not the same; however, they coincide when the flow is steady. Includes over 250 problems with complete detailed solutions.

What are PATH lines?

Pathlines are the trajectories that individual fluid particles follow. These can be thought of as “recording” the path of a fluid element in the flow over a certain period. The direction the path takes will be determined by the streamlines of the fluid at each moment in time.

What is the equation of PATH line?

Find the equations of the pathlines for a fluid flow with velocity field u = ay i + btj, where a, b are positive constants. definition of the derivative of a vector function.

How do you find the streak of a line?

  1. Flow Visualization.
  2. Flow Pattern.
  3. Pathlines.
  4. Vector Field.
  5. Velocity Field.
  6. Vorticity.

Can path lines intersect?

Two path lines can intersect each other as or a single path line can form a loop as different particles or even same particle can arrive at the same point at different instants of time.

What will be the shape of the path line for one dimensional flow be like?

What will be the shape of the pathline for an one-dimensional flow be like? Solution: … For an one-dimensional flow, the fluids move in only one dimension (say x). Hence the pathline will also be a straight line (along that direction).

What are the different types of flow lines?

Types Of Flow Lines In Fluid Mechanics – Pathlines, Streamlines, Streaklines, Timelines, Stream Tube. In order to visualize fluid flow, mainly three types of lines are defined. They are (i) streamline (ii) streak line, (iii) path line. They are same for steady flow but have importance in unsteady flow.

What is the path line in fluid mechanics?

FLUID MECHANICS. Answer : Path Lines – A path line is the line traced by a single fluid particle as it moves over a period of time. Thus a path line indicates the direction of velocity of the same fluid particle at successive instants of time.

What do stream lines indicate?

In physics, a handy way of visualizing the flow of a fluid is through streamlines. You draw a fluid’s streamline so that a tangent to the streamline at any point is parallel to the fluid’s velocity at that point. In other words, a streamline follows the fluid flow. A streamline shows the directions of flow.

How do we determine the total discharge through parallel pipes?

Explanation: Total discharge in parallel pipes are determined by adding the discharges so developed in individual pipes. If Q1 is the discharge through pipe 1 and Q2 is the discharge through pipe 2. Then the total discharge through parallel pipes is equal to Q1+Q2.

What is an example of streamlining?

Streamline is something that has a shape that provides little resistance to air or fluid flow. An example of streamline is a slick, smooth aircraft. … To construct or reconstruct an object to reduce the amount of drag it undergoes as it moves through a fluid, especially air or water.

When the velocity changes with respect to space at an instant the flow is said as?

Non-Uniform flow is defined as the type of flow in which the velocity at any given time changes with respect to space. When the velocity and other hydrodynamic parameters changes from one point to another the flow is defined as non-uniform.