Velocity and Pressure Distribution in a rotating cylinder

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Start date Oct 6, 2013
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Cylinder Distribution Pressure Pressure distribution Rotating Velocity

In summary, the Coriolis force is an inertial force caused by the rotation of the earth that affects fluid flow in a rotating cylinder, resulting in a non-uniform velocity distribution and pressure distribution with higher pressures on the outer edges. The rotational speed of the cylinder directly impacts the magnitude of the Coriolis force and affects the velocity and pressure distribution. A higher viscosity fluid will have a more uniform velocity distribution but still experience a difference in pressure distribution. The shape of the cylinder and its ends also play a role in the distribution of velocity and pressure. Real-world applications of studying this phenomenon include understanding ocean currents, weather patterns, and the design of various machinery and systems.

Oct 6, 2013

157

Calculate the velocity and pressure distributions in a laminar steady incompressible flow of a Newtonian liquid caused by rotation, with a constant angular velocity w(omega), of a vertical cylinder of radius R in a large bodyof liquid subjected to gravitational acceleration

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Oct 7, 2013

NihalSh

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Related to Velocity and Pressure Distribution in a rotating cylinder

1. What is the Coriolis force and how does it affect velocity and pressure distribution in a rotating cylinder?

The Coriolis force is an inertial force that arises due to the rotation of the earth. In a rotating cylinder, the Coriolis force causes a deflection in the direction of fluid flow, resulting in a non-uniform velocity distribution. This deflection also affects the pressure distribution, causing a higher pressure on the outer edges and a lower pressure in the center of the cylinder.

2. How does the rotational speed of the cylinder impact the velocity and pressure distribution?

The rotational speed of the cylinder directly affects the magnitude of the Coriolis force and therefore has a significant impact on the velocity and pressure distribution. A higher rotational speed will result in a stronger Coriolis force, causing a more significant deflection in the fluid flow and a larger difference in pressure distribution between the center and edges of the cylinder.

3. What is the relationship between fluid viscosity and velocity and pressure distribution in a rotating cylinder?

Viscosity is the measure of a fluid's resistance to flow. In a rotating cylinder, a higher viscosity fluid will experience a greater resistance to the Coriolis force, resulting in a more uniform velocity distribution. However, the pressure distribution will still be affected by the Coriolis force, with a higher viscosity fluid experiencing a smaller difference in pressure between the center and edges of the cylinder.

4. How does the shape of the cylinder affect velocity and pressure distribution in a rotating cylinder?

The shape of the cylinder can have a significant impact on the velocity and pressure distribution. A cylinder with a larger diameter will experience a stronger Coriolis force, resulting in a more significant deflection of fluid flow and a larger difference in pressure distribution. Additionally, the shape of the ends of the cylinder can also affect the velocity and pressure distribution, with more rounded ends resulting in a more uniform distribution compared to pointed ends.

5. What are some real-world applications of studying velocity and pressure distribution in a rotating cylinder?

Studying velocity and pressure distribution in a rotating cylinder has many practical applications, including understanding the dynamics of ocean currents, weather patterns, and the behavior of rotating machinery such as turbines and pumps. It is also essential in the design of aircraft and ships, as well as in the development of efficient heating and cooling systems.