GATE ME 2021 Set 1 — Question 23
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Heat Transfer → Conduction → Biot & Fourier Numbers
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Question
A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?
Correct answer
(A) Biot number and Fourier number
Solution
Heisler charts are used for transient heat conduction analysis in objects where the lumped capacitance method is not applicable. These charts provide the temperature distribution within an object as a function of time and position. The two primary dimensionless parameters used in Heisler charts are:
1.Biot number (): Represents the ratio of convective heat transfer resistance at the surface to conductive heat transfer resistance within the object. It indicates the significance of internal temperature gradients.
2.Fourier number (): Represents the ratio of heat conduction rate to the rate of thermal energy storage in the object. It indicates the extent of heat penetration into the object over time.
Therefore, Biot number and Fourier number are required to determine the instantaneous center temperature of the ball using a Heisler chart.The final answer is Continue learning with Success Tracker
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