Irrotational flow occurs when:a)Flow takes place in a duct of uniform ...
Ans. (c) If the fluid particles do not rotate about their mass centres while moving in the direction of motion, the flow is called as an irrotational flow.
View all questions of this test
Irrotational flow occurs when:a)Flow takes place in a duct of uniform ...
Explanation:
Irrotational flow refers to a type of fluid flow in which the fluid element does not undergo any rotation as it moves through the flow field. This means that there is no net rotation of the fluid element about its mass center.
Some key points to understand about irrotational flow include:
- Streamlines are straight: In irrotational flow, the streamlines (lines that show the direction of fluid flow at every point in the field) are straight and parallel. This is because there is no rotation of the fluid element, so the direction of flow remains constant.
- Velocity potential function: In irrotational flow, the velocity field can be described by a scalar function called the velocity potential function. This function relates the velocity at any point in the flow field to the value of the function at that point.
- Laplace's equation: The velocity potential function satisfies a mathematical equation called Laplace's equation, which is a partial differential equation that describes the behavior of the function in the flow field.
- Bernoulli's principle: Irrotational flow is important in fluid mechanics because it is closely related to Bernoulli's principle, which states that as the velocity of a fluid increases, the pressure decreases. This principle is used in many engineering applications, such as the design of aircraft wings and the calculation of fluid flow rates in pipelines.
In summary, irrotational flow is a type of fluid flow in which there is no net rotation of the fluid element about its mass center. This type of flow is characterized by straight streamlines, a velocity potential function, and a relationship to Bernoulli's principle.
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.