Mechanical Engineering Exam > Mechanical Engineering Questions > Which of the following statement is wrong?a)S...
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Which of the following statement is wrong?
- a)Streamlines cannot start or end anywhere except at the interface or infinity.
- b)Streamline spacing varies directly as the flow velocity.
- c)Streamlines can met at a stagnation point where the velocity is zero.
- d)The flow is only along the streamline and not across it.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which of the following statement is wrong?a)Streamlines cannot start o...
Streamline spacing varies inversely as the velocity; converging of streamline in any particular direction shows accelerated flow in that direction.
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Which of the following statement is wrong?a)Streamlines cannot start o...
Explanation:
The correct answer is option 'B': Streamline spacing varies directly as the flow velocity.
Definition of Streamlines:
Streamlines are imaginary lines drawn in a fluid flow field such that the tangent to the line at any point gives the direction of the velocity vector at that point. Streamlines represent the path followed by fluid particles in steady-state flow.
Explanation of Incorrect Statement:
Statement B: Streamline spacing varies directly as the flow velocity.
This statement is incorrect. The spacing between streamlines does not vary directly with the flow velocity. In fact, the spacing between streamlines is inversely proportional to the magnitude of the velocity vector.
Explanation of Correct Statements:
Statement A: Streamlines cannot start or end anywhere except at the interface or infinity.
This statement is correct. Streamlines cannot start or end anywhere except at the interface (e.g., a solid surface or a fluid-fluid interface) or at infinity. This is because streamlines represent the path followed by fluid particles, and particles cannot appear or disappear within the fluid domain.
Statement C: Streamlines can meet at a stagnation point where the velocity is zero.
This statement is correct. Streamlines can meet at a stagnation point where the velocity is zero. At a stagnation point, the flow velocity is zero, and the streamlines converge towards that point. Stagnation points often occur around solid objects or in regions of flow separation.
Statement D: The flow is only along the streamline and not across it.
This statement is correct. The flow is only along the streamline and not across it. Fluid particles move along the streamline and do not cross from one streamline to another. This is because the tangent to the streamline at any point gives the direction of the velocity vector at that point.
Conclusion:
Among the given statements, option 'B' is incorrect. The spacing between streamlines does not vary directly with the flow velocity. The correct statements are A, C, and D.
The correct answer is option 'B': Streamline spacing varies directly as the flow velocity.
Definition of Streamlines:
Streamlines are imaginary lines drawn in a fluid flow field such that the tangent to the line at any point gives the direction of the velocity vector at that point. Streamlines represent the path followed by fluid particles in steady-state flow.
Explanation of Incorrect Statement:
Statement B: Streamline spacing varies directly as the flow velocity.
This statement is incorrect. The spacing between streamlines does not vary directly with the flow velocity. In fact, the spacing between streamlines is inversely proportional to the magnitude of the velocity vector.
Explanation of Correct Statements:
Statement A: Streamlines cannot start or end anywhere except at the interface or infinity.
This statement is correct. Streamlines cannot start or end anywhere except at the interface (e.g., a solid surface or a fluid-fluid interface) or at infinity. This is because streamlines represent the path followed by fluid particles, and particles cannot appear or disappear within the fluid domain.
Statement C: Streamlines can meet at a stagnation point where the velocity is zero.
This statement is correct. Streamlines can meet at a stagnation point where the velocity is zero. At a stagnation point, the flow velocity is zero, and the streamlines converge towards that point. Stagnation points often occur around solid objects or in regions of flow separation.
Statement D: The flow is only along the streamline and not across it.
This statement is correct. The flow is only along the streamline and not across it. Fluid particles move along the streamline and do not cross from one streamline to another. This is because the tangent to the streamline at any point gives the direction of the velocity vector at that point.
Conclusion:
Among the given statements, option 'B' is incorrect. The spacing between streamlines does not vary directly with the flow velocity. The correct statements are A, C, and D.
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Which of the following statement is wrong?a)Streamlines cannot start or end anywhere except at the interface or infinity.b)Streamline spacing varies directly as the flow velocity.c)Streamlines can met at a stagnation point where the velocity is zero.d)The flow is only along the streamline and not across it.Correct answer is option 'B'. Can you explain this answer?
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Which of the following statement is wrong?a)Streamlines cannot start or end anywhere except at the interface or infinity.b)Streamline spacing varies directly as the flow velocity.c)Streamlines can met at a stagnation point where the velocity is zero.d)The flow is only along the streamline and not across it.Correct answer is option 'B'. 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 of the following statement is wrong?a)Streamlines cannot start or end anywhere except at the interface or infinity.b)Streamline spacing varies directly as the flow velocity.c)Streamlines can met at a stagnation point where the velocity is zero.d)The flow is only along the streamline and not across it.Correct answer is option 'B'. 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 of the following statement is wrong?a)Streamlines cannot start or end anywhere except at the interface or infinity.b)Streamline spacing varies directly as the flow velocity.c)Streamlines can met at a stagnation point where the velocity is zero.d)The flow is only along the streamline and not across it.Correct answer is option 'B'. Can you explain this answer?.
Which of the following statement is wrong?a)Streamlines cannot start or end anywhere except at the interface or infinity.b)Streamline spacing varies directly as the flow velocity.c)Streamlines can met at a stagnation point where the velocity is zero.d)The flow is only along the streamline and not across it.Correct answer is option 'B'. 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 of the following statement is wrong?a)Streamlines cannot start or end anywhere except at the interface or infinity.b)Streamline spacing varies directly as the flow velocity.c)Streamlines can met at a stagnation point where the velocity is zero.d)The flow is only along the streamline and not across it.Correct answer is option 'B'. 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 of the following statement is wrong?a)Streamlines cannot start or end anywhere except at the interface or infinity.b)Streamline spacing varies directly as the flow velocity.c)Streamlines can met at a stagnation point where the velocity is zero.d)The flow is only along the streamline and not across it.Correct answer is option 'B'. Can you explain this answer?.
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