Streamlines, streaklines and pathlines are field lines in
a fluid flow
. They differ only when the flow changes with time, that is, when the flow is not steady.
Under what condition do streamlines of a flow coincide with the streak lines?
It is stated at numerous places that
in a steady flow
, all particles move along the streamlines, i.e. streamlines and pathlines coincide. In steady flow (when the velocity vector-field does not change with time), the streamlines, pathlines, and streaklines coincide.
What is the difference between streamlines and Streaklines?
In other words, an image of the flow characterized by streamlines is like a
snapshot
of the flow at one moment in time. 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.
In which of the following flow Streak line and path line are identical?
Conclusion: Therefore,
in a steady flow
, the path lines, streak lines and streamlines are identical.
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 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.
Can the flow inside a nozzle be steady and uniform?
Can the flow inside a nozzle be steady and uniform? …
It can be a steady flow if and only if the water level is maintained at a constant level by supplying water at the same rate as
it gets discharged, else the water level will keep decreasing with time leading to an unsteady flow.
Is pressure greater or less in regions where streamlines are crowded?
Is pressure greater or less in regions where streamlines are crowded?
Pressure is lower where streamlines are closer
.
Why is there no flow across streamlines?
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). … 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
.
What is steady flow?
A steady flow is
one in which all conditions at any point in a stream remain constant with respect to time
. … The exact term use for this is mean steady flow. Steady flow may be uniform or non-uniform. Uniform flow. A truly uniform flow is one in which the velocity is same at a given instant at every point in the fluid.
Can two streamlines cross 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.
When Reynolds number is less than 1500 the flow tends to be?
Whenever the Reynolds number is less than about 2,000, flow in a pipe is
generally laminar
, whereas, at values greater than 2,000, flow is usually turbulent.
Do streamlines and timelines coincide in steady flow?
Timeline is generated by drawing a line through adjacent particles in flow at any instant of time. … 3.10 shows a typical timeline. In a
steady flow the streamline, pathline and streakline all coincide
. In an unsteady flow they can be different.
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 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.
