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Which of the following non-dimensional terms is an estimate of Nusselt number?
  • a)
    Ratio of internal thermal resistance of a solid to the boundary layer thermal resistance
  • b)
    Ratio of the rate at which internal energy is advected to the rate of conduction heat transfer
  • c)
    Non-dimensional temperature gradient
  • d)
    Non-dimensional velocity gradient multiplied by Prandtl number
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following non-dimensional terms is an estimate of Nusselt...
Introduction:
The Nusselt number is a dimensionless parameter used in heat transfer analysis. It represents the ratio of convective heat transfer to conductive heat transfer across a boundary layer. The Nusselt number is used to determine the rate of heat transfer between a solid surface and a fluid.

Explanation:
The Nusselt number, denoted as Nu, can be estimated by the following non-dimensional term:

Option C: Non-dimensional temperature gradient
The non-dimensional temperature gradient is a measure of the rate of change of temperature in a fluid. It is defined as the ratio of the temperature difference across the boundary layer to the characteristic temperature difference in the fluid.

Other Options:
Let's briefly discuss the other options:

Option A: Ratio of internal thermal resistance of a solid to the boundary layer thermal resistance
This option refers to the Biot number, not the Nusselt number. The Biot number represents the ratio of the internal thermal resistance of a solid to the thermal resistance at the solid-fluid interface.

Option B: Ratio of the rate at which internal energy is advected to the rate of conduction heat transfer
This option is not related to the Nusselt number. It represents the Peclet number, which is a dimensionless number used to characterize the relative importance of convection and conduction in a fluid flow.

Option D: Non-dimensional velocity gradient multiplied by Prandtl number
This option refers to the Reynolds number multiplied by the Prandtl number, not the Nusselt number. The Reynolds number represents the ratio of inertial forces to viscous forces in a fluid flow, while the Prandtl number represents the ratio of momentum diffusivity to thermal diffusivity.

Conclusion:
Among the given options, the correct estimate of the Nusselt number is the non-dimensional temperature gradient (Option C). The Nusselt number is a dimensionless parameter used to characterize the convective heat transfer between a solid surface and a fluid.
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Community Answer
Which of the following non-dimensional terms is an estimate of Nusselt...
Nusselt number equal to the dimensionless temperature gradient at the surface, and it provides a measure of the convective heat transfer occurring at the surface.
Nusselt number, 

Where, kfluid = thermal conductivity of fluid

Hence, the correct option is (C).
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Which of the following non-dimensional terms is an estimate of Nusselt number?a)Ratio of internal thermal resistance of a solid to the boundary layer thermal resistanceb)Ratio of the rate at which internal energy is advected to the rate of conduction heat transferc)Non-dimensional temperature gradientd)Non-dimensional velocity gradient multiplied by Prandtl numberCorrect answer is option 'C'. Can you explain this answer?
Question Description
Which of the following non-dimensional terms is an estimate of Nusselt number?a)Ratio of internal thermal resistance of a solid to the boundary layer thermal resistanceb)Ratio of the rate at which internal energy is advected to the rate of conduction heat transferc)Non-dimensional temperature gradientd)Non-dimensional velocity gradient multiplied by Prandtl numberCorrect 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 Which of the following non-dimensional terms is an estimate of Nusselt number?a)Ratio of internal thermal resistance of a solid to the boundary layer thermal resistanceb)Ratio of the rate at which internal energy is advected to the rate of conduction heat transferc)Non-dimensional temperature gradientd)Non-dimensional velocity gradient multiplied by Prandtl numberCorrect 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 Which of the following non-dimensional terms is an estimate of Nusselt number?a)Ratio of internal thermal resistance of a solid to the boundary layer thermal resistanceb)Ratio of the rate at which internal energy is advected to the rate of conduction heat transferc)Non-dimensional temperature gradientd)Non-dimensional velocity gradient multiplied by Prandtl numberCorrect answer is option 'C'. Can you explain this answer?.
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