How do you calculate Pathlines?
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. we have dx dt = ay, dy dt = bt. 2 abt2 + aC.
What do Pathlines indicate?
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.
Are Streaklines and Pathlines the same?
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 are Pathlines two properties?
Pathline is a trajectory traced by the single fluid particle during its flow. It gives a traveling history of the fluid element over a specified time period. A path line can intersect itself at a different time.
Which of the following is an example of free vortex motion?
Explanation: Flow of the liquid around a circular bend in a pipe is an example of free vortex flow.
Can Pathlines cross?
It is possible for pathlines to cross, as you can imagine from the freeway analogy: as a car changes lanes, the pathline traced out by its lights might cross another pathline traced out by an adjoining vehicle at a different time. Another way to visualize flow patterns is by streaklines.
What is a Streamtube?
A streamtube is a tubular region of fluid surrounded by streamlines. Since streamlines don’t intersect, the same streamlines pass through a streamtube at all points along its length.
Can you give an example of a time you streamline a process?
A streamlined process means fewer errors and delays. You probably use dozens of business processes every day. For example, you may go through the same steps each time you generate a report, resolve a customer complaint, contact a new client, or manufacture a new product.
What is a vortex motion?
A rotating mass of fluid is known as vortex and the motion of rotating mass of fluid is known as vortex motion. The vortex motion is of two types viz. free vortex motion and forced vortex motion. A free vortex motions is that in which the fluid mass rotates without any external force being impressed on it.
What is free vortex flow?
Free vortex flow is one in which the fluid mass rotates without any external impressed contact force. The whole fluid mass. rotates either due to fluid pressure itself or the gravity or due to rotation previously imparted. The free vortex motion is also called potential vortex or irrotational vortex.
What are some examples of streamlined?
An example of streamlined is a plan to get from one place to another without any need for stopping. An example of streamlined is the design of a jet plane to fly through the air. Improved in appearance or efficiency; modernized. Designed or arranged to offer the least resistance to fluid flow.
What is streamlined body example?
The shape of the body is said to be streamlined if the body tapers at both ends. Examples: Fishes have streamlined bodies so that they have less resistance when swimming in water. Birds have a streamlined body to make their flight easier through the air. Snakes have a streamlined body to assist them move forward.
What is streamlined shape example?
Answer: A special shape of the bodies which reduces the fluid friction is called as the streamlined shape. Example: Aquatic animals like fish, crocodile and sharks and the vehicles like cars, flights, ships ect. Streamlined shapes help reduce the amount of air drag when an object is moving.
What are examples of vortex?
A vortex is a rotating region of fluid such as, for example, a tornado or a whirlpool. These vortices are generally created at a moving boundary due to the shear resulting from the no slip condition, but can also result from thermal circulation.
Which is an example of free vortex flow?
A free vortex is formed, for example, when water flows out of a vessel through a central hole in the base. No external force is required to rotate the fluid, and the degree of rotation is dependent upon the initial disturbance. Whirlpools in rivers and tornadoes are examples of natural free vortices.
Which of the following is an example of free vortex?