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The transition Reynolds number for flow over a flat plate is 5 x 105. What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1 m/s (for water the kinematic viscosity v = 0.86 x 10-6m2/s)
- a)0.43 m
- b)1 m
- c)43 m
- d)103 m
Correct answer is option 'A'. Can you explain this answer?
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The transition Reynolds number for flow over a flat plate is 5 x 105. ...
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The transition Reynolds number for flow over a flat plate is 5 x 105. ...
Given data:
Transition Reynolds number (Re) = 5 x 10^5
Velocity of water (V) = 1 m/s
Kinematic viscosity of water (v) = 0.86 x 10^-6 m^2/s
We need to find the distance from the leading edge at which transition will occur.
Explanation:
1. Reynolds number (Re) is a dimensionless quantity that describes the ratio of inertial forces to viscous forces in a fluid. It is given by the formula:
Re = ρVD/ν, where ρ is the density of the fluid, V is the velocity of the fluid, D is the characteristic length (in this case, the distance from the leading edge), and ν is the kinematic viscosity of the fluid.
2. The transition Reynolds number is the value of Reynolds number at which laminar flow changes to turbulent flow. For flow over a flat plate, the transition Reynolds number is approximately 5 x 10^5.
3. To find the distance from the leading edge at which transition will occur, we can rearrange the formula for Reynolds number as:
D = Reν/Vρ
4. Substituting the given values, we get:
D = (5 x 10^5) x (0.86 x 10^-6) / (1 x 1000) = 0.43 m
5. Therefore, the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1 m/s is 0.43 m.
Final Answer: The correct option is (A) 0.43 m.
Transition Reynolds number (Re) = 5 x 10^5
Velocity of water (V) = 1 m/s
Kinematic viscosity of water (v) = 0.86 x 10^-6 m^2/s
We need to find the distance from the leading edge at which transition will occur.
Explanation:
1. Reynolds number (Re) is a dimensionless quantity that describes the ratio of inertial forces to viscous forces in a fluid. It is given by the formula:
Re = ρVD/ν, where ρ is the density of the fluid, V is the velocity of the fluid, D is the characteristic length (in this case, the distance from the leading edge), and ν is the kinematic viscosity of the fluid.
2. The transition Reynolds number is the value of Reynolds number at which laminar flow changes to turbulent flow. For flow over a flat plate, the transition Reynolds number is approximately 5 x 10^5.
3. To find the distance from the leading edge at which transition will occur, we can rearrange the formula for Reynolds number as:
D = Reν/Vρ
4. Substituting the given values, we get:
D = (5 x 10^5) x (0.86 x 10^-6) / (1 x 1000) = 0.43 m
5. Therefore, the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1 m/s is 0.43 m.
Final Answer: The correct option is (A) 0.43 m.
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The transition Reynolds number for flow over a flat plate is 5 x 105. What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1 m/s (for water the kinematic viscosity v =0.86 x 10-6m2/s)a)0.43 mb)1 mc)43 md)103 mCorrect answer is option 'A'. 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 The transition Reynolds number for flow over a flat plate is 5 x 105. What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1 m/s (for water the kinematic viscosity v =0.86 x 10-6m2/s)a)0.43 mb)1 mc)43 md)103 mCorrect answer is option 'A'. 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 The transition Reynolds number for flow over a flat plate is 5 x 105. What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1 m/s (for water the kinematic viscosity v =0.86 x 10-6m2/s)a)0.43 mb)1 mc)43 md)103 mCorrect answer is option 'A'. Can you explain this answer?.
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