Trying to understand convective heat transfer rate

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Discussion Overview

The discussion revolves around understanding convective heat transfer, specifically the implications of the convective heat transfer equation and its application to a scenario involving heating air above a hot surface. Participants are exploring the meaning of calculated values and the factors influencing heat transfer rates.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the meaning of the calculated heat transfer rate (q = 40 W/s) and its implications for heating a volume of air.
  • Another participant points out the lack of detail in the initial inquiry, suggesting that more information is needed to provide a meaningful response.
  • A participant reiterates their calculation using the equation q = hc A dT, specifying the values used and seeking clarification on how to interpret the result in terms of temperature increase over time.
  • A later reply explains that the heat transfer coefficient (hc) is crucial and introduces a more complex equation involving mass and heat capacity of air to relate the heat transfer to temperature change.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there is ongoing confusion about the implications of the calculations and the necessary factors for understanding convective heat transfer.

Contextual Notes

Limitations include the initial lack of detail regarding the specific scenario and assumptions about air mixing and heat capacity that may affect the interpretation of the results.

Who May Find This Useful

This discussion may be useful for individuals seeking to understand the fundamentals of convective heat transfer and the application of related equations in practical scenarios.

dmehling
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I am trying to understand the concept of convective heat transfer. I plugged in some values into the convective heat equation and ended up with q = 40. Now, I don't know what that means. What does that tell me about how long it would take to bring a given volume of air around a hot surface to a given temperature? I need a layman's explanation since my physics background is limited.
 
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You haven't provided enough detail for us to understand what you are talking about.
 
Maybe I don't quite understand the point of the equation: q = hc A dT . I plugged in values of hc = 100, A = .01, dT = 40 and the answer was q = 40 w per second. I just want to know what that answer tells me about how much a given volume of air above a hot surface will increase over a given amount of time. Are there other values and factors that I need to know in order to figure this out.
 
dmehling said:
Maybe I don't quite understand the point of the equation: q = hc A dT . I plugged in values of hc = 100, A = .01, dT = 40 and the answer was q = 40 w per second. I just want to know what that answer tells me about how much a given volume of air above a hot surface will increase over a given amount of time. Are there other values and factors that I need to know in order to figure this out.
hc is called the heat transfer coefficient. This equation tells you how much heat is passing through the surface into the air above. If the air is pretty well mixed and you are heating it from the surface, you can determine the rate of temperature rise of the air by also knowing the mass and heat capacity of the air: $$MC_p\frac{dT_a}{dt}=h_cA(T_s-T_a)$$
where Ts is the temperature of the surface.
 

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