The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

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Answer 1

Question

Chapter 19, Problem 1P

To determine

The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

Expert Solution & Answer

Explanation of Solution

Incompressible fluid:

The fluid whose density is independent of pressure is known as incompressible fluid. The liquids (water) are the example of incompressible fluids.

Incompressible fluid flow:

A fluid flow is said to be an incompressible fluid flow, when no density changes observed (constant density) in every portion of fluid throughout the flow is known as incompressible fluid. The volume of fluid does not change in every portion of the fluid throughout the flow.

Compressible fluid:

The fluid whose density is dependent of pressure is known as compressible fluid. The gases (air) are the example of compressible fluids. The density of the compressible fluid can be maintained as constant throughout the flow. Thus, the flow of a compressible fluid not necessarily be compressible flow.

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Problem 1 (30 Points) Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in both scenarios, there is one generalized coordinate, . R Scenario 1 R m R g Scenario 2 m HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the bowl (scenario 1), or the pivot point of the pendulum (scenario 2). Part I a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points) b) What can you say about the systems based on the Lagrangian? (2 points) c) Solve for the equations of motion for both systems. (8 points) Part II Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to determine the normal force acting on the mass. a)…

Answer 2

Question

Chapter 19, Problem 1P

To determine

The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

Expert Solution & Answer

Explanation of Solution

Incompressible fluid:

The fluid whose density is independent of pressure is known as incompressible fluid. The liquids (water) are the example of incompressible fluids.

Incompressible fluid flow:

A fluid flow is said to be an incompressible fluid flow, when no density changes observed (constant density) in every portion of fluid throughout the flow is known as incompressible fluid. The volume of fluid does not change in every portion of the fluid throughout the flow.

Compressible fluid:

The fluid whose density is dependent of pressure is known as compressible fluid. The gases (air) are the example of compressible fluids. The density of the compressible fluid can be maintained as constant throughout the flow. Thus, the flow of a compressible fluid not necessarily be compressible flow.

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Answer 3

Question

Chapter 19, Problem 1P

To determine

The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

Expert Solution & Answer

Explanation of Solution

Incompressible fluid:

The fluid whose density is independent of pressure is known as incompressible fluid. The liquids (water) are the example of incompressible fluids.

Incompressible fluid flow:

A fluid flow is said to be an incompressible fluid flow, when no density changes observed (constant density) in every portion of fluid throughout the flow is known as incompressible fluid. The volume of fluid does not change in every portion of the fluid throughout the flow.

Compressible fluid:

The fluid whose density is dependent of pressure is known as compressible fluid. The gases (air) are the example of compressible fluids. The density of the compressible fluid can be maintained as constant throughout the flow. Thus, the flow of a compressible fluid not necessarily be compressible flow.

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Answer 4

Question

Chapter 19, Problem 1P

To determine

The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

Expert Solution & Answer

Explanation of Solution

Incompressible fluid:

The fluid whose density is independent of pressure is known as incompressible fluid. The liquids (water) are the example of incompressible fluids.

Incompressible fluid flow:

A fluid flow is said to be an incompressible fluid flow, when no density changes observed (constant density) in every portion of fluid throughout the flow is known as incompressible fluid. The volume of fluid does not change in every portion of the fluid throughout the flow.

Compressible fluid:

The fluid whose density is dependent of pressure is known as compressible fluid. The gases (air) are the example of compressible fluids. The density of the compressible fluid can be maintained as constant throughout the flow. Thus, the flow of a compressible fluid not necessarily be compressible flow.

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Answer 5

Chapter 19, Problem 1P

To determine

The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

Expert Solution & Answer

Explanation of Solution

Incompressible fluid:

The fluid whose density is independent of pressure is known as incompressible fluid. The liquids (water) are the example of incompressible fluids.

Incompressible fluid flow:

A fluid flow is said to be an incompressible fluid flow, when no density changes observed (constant density) in every portion of fluid throughout the flow is known as incompressible fluid. The volume of fluid does not change in every portion of the fluid throughout the flow.

Compressible fluid:

The fluid whose density is dependent of pressure is known as compressible fluid. The gases (air) are the example of compressible fluids. The density of the compressible fluid can be maintained as constant throughout the flow. Thus, the flow of a compressible fluid not necessarily be compressible flow.

Answer 6

Chapter 19, Problem 1P

To determine

The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

Expert Solution & Answer

Explanation of Solution

Incompressible fluid:

The fluid whose density is independent of pressure is known as incompressible fluid. The liquids (water) are the example of incompressible fluids.

Incompressible fluid flow:

A fluid flow is said to be an incompressible fluid flow, when no density changes observed (constant density) in every portion of fluid throughout the flow is known as incompressible fluid. The volume of fluid does not change in every portion of the fluid throughout the flow.

Compressible fluid:

The fluid whose density is dependent of pressure is known as compressible fluid. The gases (air) are the example of compressible fluids. The density of the compressible fluid can be maintained as constant throughout the flow. Thus, the flow of a compressible fluid not necessarily be compressible flow.

Answer 7

Chapter 19, Problem 1P

To determine

The incompressible flow, incompressible fluid, and whether the flow of a compressible fluid must be a compressible flow?

Answer 8

Expert Solution & Answer

Explanation of Solution

Incompressible fluid:

The fluid whose density is independent of pressure is known as incompressible fluid. The liquids (water) are the example of incompressible fluids.

Incompressible fluid flow:

A fluid flow is said to be an incompressible fluid flow, when no density changes observed (constant density) in every portion of fluid throughout the flow is known as incompressible fluid. The volume of fluid does not change in every portion of the fluid throughout the flow.

Compressible fluid:

The fluid whose density is dependent of pressure is known as compressible fluid. The gases (air) are the example of compressible fluids. The density of the compressible fluid can be maintained as constant throughout the flow. Thus, the flow of a compressible fluid not necessarily be compressible flow.