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Which one of the following statements is true to two dimensional flow of ideal fluids?
- a)Potential function exists if stream function exists.
- b)Stream function may or may not exist.
- c)Both potential function and stream function must exist for every flow.
- d)Stream function will exist but potential function may or may not exist.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which one of the following statements is true to two dimensional flow ...
For a possible case of fluid flow Stream function will exist, but potential function will exist only for irrotational flow. In this case flow may be rotational or irrotational.
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Which one of the following statements is true to two dimensional flow ...
Two Dimensional Flow of Ideal Fluids
In the study of fluid mechanics, the two-dimensional flow of ideal fluids is an important concept. Here are some key points to consider:
Stream Function and Potential Function
- The stream function is a mathematical function that describes the motion of a fluid in two dimensions. It is used to determine the velocity components of the fluid and is related to the mass flow rate.
- The potential function is also a mathematical function that describes the motion of a fluid in two dimensions. It is used to determine the pressure distribution of the fluid and is related to the total energy of the fluid.
- In two-dimensional flow of ideal fluids, the stream function and potential function are related to each other through the Laplace equation.
True Statement
The true statement for two-dimensional flow of ideal fluids is:
- Stream function will exist but potential function may or may not exist.
Explanation
- In two-dimensional flow of ideal fluids, the stream function always exists. This is because the stream function is related to the mass flow rate and is a fundamental property of the fluid motion.
- However, the potential function may or may not exist depending on the flow conditions. For example, in irrotational flow, the potential function exists and is related to the pressure distribution of the fluid. But in rotational flow, the potential function does not exist because there is no unique pressure distribution.
- Therefore, the correct answer is option 'D' - Stream function will exist but potential function may or may not exist.
In the study of fluid mechanics, the two-dimensional flow of ideal fluids is an important concept. Here are some key points to consider:
Stream Function and Potential Function
- The stream function is a mathematical function that describes the motion of a fluid in two dimensions. It is used to determine the velocity components of the fluid and is related to the mass flow rate.
- The potential function is also a mathematical function that describes the motion of a fluid in two dimensions. It is used to determine the pressure distribution of the fluid and is related to the total energy of the fluid.
- In two-dimensional flow of ideal fluids, the stream function and potential function are related to each other through the Laplace equation.
True Statement
The true statement for two-dimensional flow of ideal fluids is:
- Stream function will exist but potential function may or may not exist.
Explanation
- In two-dimensional flow of ideal fluids, the stream function always exists. This is because the stream function is related to the mass flow rate and is a fundamental property of the fluid motion.
- However, the potential function may or may not exist depending on the flow conditions. For example, in irrotational flow, the potential function exists and is related to the pressure distribution of the fluid. But in rotational flow, the potential function does not exist because there is no unique pressure distribution.
- Therefore, the correct answer is option 'D' - Stream function will exist but potential function may or may not exist.
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Which one of the following statements is true to two dimensional flow ...
D
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Which one of the following statements is true to two dimensional flow of ideal fluids?a)Potential function exists if stream function exists.b)Stream function may or may not exist.c)Both potential function and stream function must exist for every flow.d)Stream function will exist but potential function may or may not exist.Correct answer is option 'D'. Can you explain this answer?
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Which one of the following statements is true to two dimensional flow of ideal fluids?a)Potential function exists if stream function exists.b)Stream function may or may not exist.c)Both potential function and stream function must exist for every flow.d)Stream function will exist but potential function may or may not exist.Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following statements is true to two dimensional flow of ideal fluids?a)Potential function exists if stream function exists.b)Stream function may or may not exist.c)Both potential function and stream function must exist for every flow.d)Stream function will exist but potential function may or may not exist.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is true to two dimensional flow of ideal fluids?a)Potential function exists if stream function exists.b)Stream function may or may not exist.c)Both potential function and stream function must exist for every flow.d)Stream function will exist but potential function may or may not exist.Correct answer is option 'D'. Can you explain this answer?.
Which one of the following statements is true to two dimensional flow of ideal fluids?a)Potential function exists if stream function exists.b)Stream function may or may not exist.c)Both potential function and stream function must exist for every flow.d)Stream function will exist but potential function may or may not exist.Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following statements is true to two dimensional flow of ideal fluids?a)Potential function exists if stream function exists.b)Stream function may or may not exist.c)Both potential function and stream function must exist for every flow.d)Stream function will exist but potential function may or may not exist.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is true to two dimensional flow of ideal fluids?a)Potential function exists if stream function exists.b)Stream function may or may not exist.c)Both potential function and stream function must exist for every flow.d)Stream function will exist but potential function may or may not exist.Correct answer is option 'D'. Can you explain this answer?.
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