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Question

Which of the following is a case of steady state heat transfer?

The correct answer is

None of the above

Understanding Steady State Heat Transfer

Heat transfer can occur in different ways, and its behavior can change over time. When we talk about steady state heat transfer, we are describing a situation where the temperature at any given point within a system does not change with time. This means that the rate of heat flowing into a region is equal to the rate of heat flowing out of that region, and there is no accumulation or depletion of energy within the system over time. In essence, the temperature distribution is constant over time.

Analyzing the Options for Steady State Heat Transfer

Let's examine each option provided and determine if it represents a case of steady state heat transfer in its typical operation:

  • I.C. Engine (Internal Combustion Engine): An I.C. engine operates in cycles (like the four-stroke cycle). The temperatures of the engine components, such as the cylinder walls, piston, and valves, fluctuate significantly during these cycles due to combustion, intake of fresh mixture, and exhaust of hot gases. Furthermore, the overall engine temperature changes depending on load, speed, and ambient conditions. This dynamic behavior means that the temperature at any given point is constantly changing with time. Therefore, an I.C. engine is a clear case of unsteady heat transfer.
  • Air Preheater: An air preheater is a type of heat exchanger. While designed for continuous operation, real-world conditions often involve fluctuations in flow rates, inlet temperatures of air and flue gas, and varying loads. In some designs, like regenerative air preheaters, heat is transferred intermittently as parts of the heat exchange surface rotate through hot and cold gas streams, causing the temperature of the matrix material at any point to change with time. Even in recuperative types, variations in operating parameters lead to non-steady temperature distributions and heat transfer rates. Strict steady-state operation requires constant conditions over an extended period, which is often an idealization rather than a typical operating state in dynamic industrial environments.
  • Heating of building in winter: Heating a building in winter is influenced by numerous factors that change over time. The outdoor temperature varies throughout the day and night. The amount of heat lost through walls, windows, and the roof changes with outdoor temperature and wind speed. Internal heat generation from occupants or appliances can vary. The heating system itself (e.g., a furnace or heat pump) typically cycles on and off based on thermostat settings, causing indoor temperatures and temperature gradients within the building materials to fluctuate. All these time-dependent factors make the heating of a building a classic example of unsteady heat transfer.

Conclusion

Based on the analysis of each option, none of the listed scenarios (I.C. engine, air preheater, heating of a building) represent strict steady state heat transfer in their typical operational states. They all involve temperature changes over time at specific points within the system.

Therefore, the correct answer is that none of the given options is a case of steady state heat transfer.

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Important Questions from Conduction

  1. In M - L - t - T system, the dimension of thermal diffusivity is -

  2. The transfer of heat through the molecules of matter in any body is called ________.

  3. Unit of thermal diffusivity is

  4. When heat is transferred from one particle of hot body to another by actual motion of the heated particles, it is referred to as heat transfer by:

  5. The process of heat transfer from one particle of the body to another without the actual motion of the particle, is known as ______ .

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