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In unsteady state heat conduction the two significant dimensionless parameter used are
- a)Fourier number and Reynolds number
- b)Reynolds number and Prandtl number
- c)Biot number and Fourier number
- d)Reynolds number and Biot number
Correct answer is option 'C'. Can you explain this answer?
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Inunsteady state heat conduction the two significant dimensionless par...
In case of unsteady state conduction
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Inunsteady state heat conduction the two significant dimensionless par...
Explanation:
In unsteady state heat conduction, the two significant dimensionless parameters used are the Biot number and Fourier number. These parameters are important in analyzing heat transfer processes in systems where the temperature varies with time.
Biot Number:
- The Biot number is a dimensionless parameter that relates the heat transfer resistances inside a solid to the heat transfer resistances at the solid's surface.
- It is defined as the ratio of convective heat transfer resistance to conductive heat transfer resistance.
- Mathematically, it is expressed as Bi = hL/k, where h is the convective heat transfer coefficient, L is a characteristic length, and k is the thermal conductivity of the solid.
Fourier Number:
- The Fourier number is a dimensionless parameter that characterizes the transient behavior of heat conduction in a solid.
- It is defined as the ratio of the rate of heat conduction to the rate of thermal energy storage in a material.
- Mathematically, it is expressed as Fo = αt/L^2, where α is the thermal diffusivity of the material, t is time, and L is a characteristic length.
Significance of Biot Number and Fourier Number:
- The Biot number helps in determining whether the temperature distribution in a solid is controlled by conduction or convection.
- The Fourier number helps in understanding how quickly heat is transferred through a material over time.
Conclusion:
In unsteady state heat conduction, the Biot number and Fourier number are crucial dimensionless parameters that help in analyzing and predicting heat transfer processes in systems where temperature variations occur with time. By considering these parameters, engineers and researchers can gain insights into the transient behavior of heat conduction and optimize the design of thermal systems.
In unsteady state heat conduction, the two significant dimensionless parameters used are the Biot number and Fourier number. These parameters are important in analyzing heat transfer processes in systems where the temperature varies with time.
Biot Number:
- The Biot number is a dimensionless parameter that relates the heat transfer resistances inside a solid to the heat transfer resistances at the solid's surface.
- It is defined as the ratio of convective heat transfer resistance to conductive heat transfer resistance.
- Mathematically, it is expressed as Bi = hL/k, where h is the convective heat transfer coefficient, L is a characteristic length, and k is the thermal conductivity of the solid.
Fourier Number:
- The Fourier number is a dimensionless parameter that characterizes the transient behavior of heat conduction in a solid.
- It is defined as the ratio of the rate of heat conduction to the rate of thermal energy storage in a material.
- Mathematically, it is expressed as Fo = αt/L^2, where α is the thermal diffusivity of the material, t is time, and L is a characteristic length.
Significance of Biot Number and Fourier Number:
- The Biot number helps in determining whether the temperature distribution in a solid is controlled by conduction or convection.
- The Fourier number helps in understanding how quickly heat is transferred through a material over time.
Conclusion:
In unsteady state heat conduction, the Biot number and Fourier number are crucial dimensionless parameters that help in analyzing and predicting heat transfer processes in systems where temperature variations occur with time. By considering these parameters, engineers and researchers can gain insights into the transient behavior of heat conduction and optimize the design of thermal systems.
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Inunsteady state heat conduction the two significant dimensionless parameter used area)Fourier number and Reynolds numberb)Reynolds number and Prandtl numberc)Biot number and Fourier numberd)Reynolds number and Biot numberCorrect answer is option 'C'. Can you explain this answer?
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