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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?

The correct answer is

Biot number and Fourier number

The Heisler centre-temperature chart uses Biot number \(Bi=hL_c/k\) and Fourier number \(Fo=\alpha t/L_c^2\). They represent the surface-to-internal resistance relation and dimensionless elapsed time.

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Important Questions from Transient Heat Transfer

  1. Consider the following statements about the thermal diffusivity of a substance:

    1. It is directly proportional to density.

    2. It is inversely proportional to specific heat.

    3. It is inversely proportional to thermal conductivity.

    4. It is directly proportional to thermal conductivity.

    Which of the given statements are INCORRECT?

  2. Lumped heat transfer analysis of a solid object suddenly exposed to a fluid medium at a different temperature is valid when

  3. The dimensionless numbers used for analyzing the transient heat conduction problems in a plane wall, cylinder, and sphere is ________.
  4. Choose the correct statement.

    The curve for unsteady state heating and cooling of bodies with Bi < 0.1 is

  5. A spherical thermocouple junction of diameter 0.706 mm is to be used for measurement of temperature of a gas stream. The convective heat transfer coefficient on bead surface is \(400~\frac{W}{{{m^2} - K}}\). The thermo physical properties of thermocouple material are \(k = 20~\frac{W}{{m - K}},\ c = 400\frac{J}{{kg - K}},\ \rho = 8500~\frac{{kg}}{{{m^3}}}\). If the thermocouple initially at 30°C is placed in a hot stream of 300°C, the time taken by the bead to reach 298°, is

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