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For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.
The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is
The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is
[2008]
- a)0.001 mm
- b)0.01 mm
- c)1 mm
- d)1000 mm
Correct answer is option 'C'. Can you explain this answer?
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For flow of fluid over a heated plate , the following fluid properties...
Given:
(Fluid thermal conductivity)
Hydrodynamic boundary layer thickness, δ = 1 mm
(Fluid thermal conductivity)Hydrodynamic boundary layer thickness, δ = 1 mm
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For flow of fluid over a heated plate , the following fluid properties...
Hydrodynamic Boundary Layer Thickness:
The hydrodynamic boundary layer is a thin layer of fluid adjacent to the surface of a solid body over which the flow velocity changes from zero at the surface to the free-stream velocity away from the surface. The thickness of this boundary layer is an important parameter in fluid flow analysis.
Given:
Viscosity (μ) = 0.001 Pa.s
Hydrodynamic boundary layer thickness (δh) = 1 mm = 0.001 m
Thermal Boundary Layer Thickness:
The thermal boundary layer is a thin layer of fluid adjacent to the surface of a solid body over which the temperature changes from the surface temperature to the free-stream temperature away from the surface. The thickness of this boundary layer is related to the hydrodynamic boundary layer thickness and the fluid properties.
To determine the thermal boundary layer thickness (δt), we can use the Prandtl number (Pr) and the hydrodynamic boundary layer thickness.
Prandtl number (Pr) is defined as the ratio of momentum diffusivity (μ) to thermal diffusivity (α). It represents the relative importance of momentum and heat transfer in a fluid.
Pr = μ * Cp / k
Where:
Cp = Specific heat at constant pressure = 1 kJ/kgK
k = Thermal conductivity = 1 W/mK
Solving for Pr, we have:
Pr = (0.001 * 1000) / 1 = 1
For a Prandtl number of 1, the thermal boundary layer thickness is equal to the hydrodynamic boundary layer thickness.
Therefore, the thermal boundary layer thickness (δt) at the specified location on the plate is 1 mm or 0.001 m. Hence, the correct answer is option 'C'.
The hydrodynamic boundary layer is a thin layer of fluid adjacent to the surface of a solid body over which the flow velocity changes from zero at the surface to the free-stream velocity away from the surface. The thickness of this boundary layer is an important parameter in fluid flow analysis.
Given:
Viscosity (μ) = 0.001 Pa.s
Hydrodynamic boundary layer thickness (δh) = 1 mm = 0.001 m
Thermal Boundary Layer Thickness:
The thermal boundary layer is a thin layer of fluid adjacent to the surface of a solid body over which the temperature changes from the surface temperature to the free-stream temperature away from the surface. The thickness of this boundary layer is related to the hydrodynamic boundary layer thickness and the fluid properties.
To determine the thermal boundary layer thickness (δt), we can use the Prandtl number (Pr) and the hydrodynamic boundary layer thickness.
Prandtl number (Pr) is defined as the ratio of momentum diffusivity (μ) to thermal diffusivity (α). It represents the relative importance of momentum and heat transfer in a fluid.
Pr = μ * Cp / k
Where:
Cp = Specific heat at constant pressure = 1 kJ/kgK
k = Thermal conductivity = 1 W/mK
Solving for Pr, we have:
Pr = (0.001 * 1000) / 1 = 1
For a Prandtl number of 1, the thermal boundary layer thickness is equal to the hydrodynamic boundary layer thickness.
Therefore, the thermal boundary layer thickness (δt) at the specified location on the plate is 1 mm or 0.001 m. Hence, the correct answer is option 'C'.
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For flow of fluid over a heated plate , the following fluid properties...
Given:
(Fluid thermal conductivity)
Hydrodynamic boundary layer thickness, δ = 1 mm
(Fluid thermal conductivity)Hydrodynamic boundary layer thickness, δ = 1 mm
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For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is[2008]a)0.001 mmb)0.01 mmc)1 mmd)1000 mmCorrect answer is option 'C'. Can you explain this answer?
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For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is[2008]a)0.001 mmb)0.01 mmc)1 mmd)1000 mmCorrect answer is option 'C'. 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 For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is[2008]a)0.001 mmb)0.01 mmc)1 mmd)1000 mmCorrect answer is option 'C'. 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 For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is[2008]a)0.001 mmb)0.01 mmc)1 mmd)1000 mmCorrect answer is option 'C'. Can you explain this answer?.
For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is[2008]a)0.001 mmb)0.01 mmc)1 mmd)1000 mmCorrect answer is option 'C'. 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 For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is[2008]a)0.001 mmb)0.01 mmc)1 mmd)1000 mmCorrect answer is option 'C'. 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 For flow of fluid over a heated plate , the following fluid properties are known: viscosity = 0.001 Pa.s; specific heat at constant pressure = 1 kJ/kgK; thermal conductivity = 1 W/mK.The hydrodynamic boundary layer thickness at a specified location on the plate is 1 mm. The thermal boundary layer thickness at the same location is[2008]a)0.001 mmb)0.01 mmc)1 mmd)1000 mmCorrect answer is option 'C'. Can you explain this answer?.
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