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Stream line flow happens when intermediate layers move with velocities proportional to the square of distance from the stationary plate.
- a)True
- b)False
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Stream line flow happens when intermediate layers move with velocities...
Explanation: It is proportional to distance and not square of it.
Most Upvoted Answer
Stream line flow happens when intermediate layers move with velocities...
Understanding Streamline Flow
Streamline flow, also known as laminar flow, is characterized by smooth, orderly fluid motion. The statement regarding velocities being proportional to the square of the distance from a stationary plate is incorrect.
Key Characteristics of Streamline Flow:
- Velocity Profile: In a typical streamline flow (like in a viscous fluid between two parallel plates), the velocity distribution across the layers is linear, not quadratic. The velocity of fluid layers increases linearly from the stationary plate to the moving plate.
- Newtonian Fluids: For Newtonian fluids, the relationship between shear stress and shear rate is linear. The velocity at any point in the fluid is directly related to its distance from the stationary plate.
- Flow Regime: Streamline flow occurs at low Reynolds numbers, where viscous forces dominate over inertial forces. This condition leads to stable flow patterns, unlike turbulent flow, where the motion is chaotic.
- Mathematical Representation: The typical representation of the velocity of different layers in laminar flow is given by a linear equation, which indicates a direct relationship with distance from the stationary boundary.
Conclusion:
The assertion that velocities are proportional to the square of the distance from a stationary plate misrepresents the nature of streamline flow. Instead, it follows a linear velocity gradient, confirming that the correct answer is option 'B' (False). Understanding these principles is essential in mechanical engineering, especially in fluid dynamics and related applications.
Streamline flow, also known as laminar flow, is characterized by smooth, orderly fluid motion. The statement regarding velocities being proportional to the square of the distance from a stationary plate is incorrect.
Key Characteristics of Streamline Flow:
- Velocity Profile: In a typical streamline flow (like in a viscous fluid between two parallel plates), the velocity distribution across the layers is linear, not quadratic. The velocity of fluid layers increases linearly from the stationary plate to the moving plate.
- Newtonian Fluids: For Newtonian fluids, the relationship between shear stress and shear rate is linear. The velocity at any point in the fluid is directly related to its distance from the stationary plate.
- Flow Regime: Streamline flow occurs at low Reynolds numbers, where viscous forces dominate over inertial forces. This condition leads to stable flow patterns, unlike turbulent flow, where the motion is chaotic.
- Mathematical Representation: The typical representation of the velocity of different layers in laminar flow is given by a linear equation, which indicates a direct relationship with distance from the stationary boundary.
Conclusion:
The assertion that velocities are proportional to the square of the distance from a stationary plate misrepresents the nature of streamline flow. Instead, it follows a linear velocity gradient, confirming that the correct answer is option 'B' (False). Understanding these principles is essential in mechanical engineering, especially in fluid dynamics and related applications.
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Question Description
Stream line flow happens when intermediate layers move with velocities proportional to the square of distance from the stationary plate.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Stream line flow happens when intermediate layers move with velocities proportional to the square of distance from the stationary plate.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Stream line flow happens when intermediate layers move with velocities proportional to the square of distance from the stationary plate.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?.
Stream line flow happens when intermediate layers move with velocities proportional to the square of distance from the stationary plate.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Stream line flow happens when intermediate layers move with velocities proportional to the square of distance from the stationary plate.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Stream line flow happens when intermediate layers move with velocities proportional to the square of distance from the stationary plate.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?.
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