Problem at calculation of convection

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Discussion Overview

The discussion revolves around the calculation of the heat load of a house, specifically focusing on determining the thermal convection coefficient "h" under conditions where surface temperatures are not available. Participants explore theoretical and practical approaches to this problem, highlighting the complexities involved in accurately assessing heat transfer in residential settings.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses difficulty in calculating the convection coefficients (h1 and h2) due to the unavailability of surface temperature measurements.
  • Another participant argues that theoretical models alone are insufficient for accurately calculating heat transfer coefficients, citing the complexity of factors like solar load and infiltration/exfiltration.
  • A suggestion is made that automated thermal systems and thermocouples could provide necessary temperature data for more accurate calculations.
  • One participant asserts that without surface temperatures, flow velocities, or thermal properties, it is unlikely to determine the convection coefficient.
  • It is noted that for free convection, the temperature of the surface and the bulk air temperature are essential for calculating the convection coefficient, as temperature differences drive convection.
  • Another participant reiterates the importance of surface temperature in determining the convective coefficient, emphasizing that different surface temperatures will yield different coefficients.
  • A later reply indicates a willingness to assign approximate temperature values to proceed with calculations, despite the uncertainties involved.

Areas of Agreement / Disagreement

Participants generally agree that the lack of surface temperature data presents a significant challenge in calculating the convection coefficient. However, there is no consensus on whether it is possible to derive "h" without this information, as some suggest it may be feasible with approximations while others maintain it is not possible.

Contextual Notes

The discussion highlights limitations related to the assumptions required for calculating convection coefficients, particularly the dependence on accurate temperature measurements and the complexity of heat transfer dynamics in residential buildings.

ice_cold
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Hello,

I am working on a case in which I'm trying to calculate the heat load of a house (actually mine).
I want to be sure that the calculations were done correctly during the design phase.
Disregarding the methods at various web sites (most of which are commercial), i'm
doing it in a scientific way.

I'm kind of stuck at calculating "h", the coefficient of thermal convection. (Here I'm
calculating h1 and h2. h1 is for the convection between interior of the house and inner surface
i.e. the wall; h2 is for the convection between outer surface i.e. the wall and the exterior
environment. I can't measure the temperature values at the inner and the outer surface which
is the main problem.
I can not use the correlations that uses Rayleigh and Grashoff numbers for the reason that
i do not have the inner and the outer surface temperatures.
I could not find any case studies. Am i following the wrong way here?

Any help is greatly appreciated.
 
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ice_cold said:
Am i following the wrong way here?

Yeah. Your not going to be able to accurately calculate the heat transfer coefficient of your house using only theoretical models. The heat flux through the walls (and windows) not only depends on the conditions outside (solar load, wind speed, etc) but also on the amount of heat transport due to infiltration and exfiltration. In other words, your system is to complex to just simply apply a correlation.

Houses with automated thermal systems and home energy auditors will have thermocouples in every room of the house along with the outside. By heating the house to a set temperature and measuring the rate at which it cools off you can estimate a bulk heat transfer coefficient and equivalent area for your house. These values can then be used to determine heat flux out of your home under most conditions.
 
Thank you Topher925,

I am O.K. with your comment about the complexity of the situation. Calculating the load is far away from a simple correlation. Simplification is just going to affect the result in a misleading way.

But what are your comments on calculation of "h" when the surface temperatures are not
available? Is it possible to do so? I searched some books and academic papers but i didn't find anything related.
 
I don't think you will be able to find h without the surface temperatures. If you have no information about temperatures, flow velocities, or thermal properties about the wall, then I don't believe you will be able to find h.
 
You will need the teperature of the surface and the bulk teperature of the air to calculate the free convection coefficient. Think about it this way- a wall at 100 degrees will have a higher convective coeffcient than a wall at 50 degrees.

If you were calculating a forced convection coeffcient, you might be able to make some educated guesses about the fluid properties of the air and get to a reasonable solution. For free (natural) convection, temperature is the driver that causes convection (and therefore you need to know it to know how much air is flowing).
 
Mech_Engineer said:
You will need the teperature of the surface and the bulk teperature of the air to calculate the free convection coefficient. Think about it this way- a wall at 100 degrees will have a higher convective coeffcient than a wall at 50 degrees.

If you were calculating a forced convection coeffcient, you might be able to make some educated guesses about the fluid properties of the air and get to a reasonable solution. For free (natural) convection, temperature is the driver that causes convection (and therefore you need to know it to know how much air is flowing).

Thank you. As long as my case is free convection, i will at least try to assign some approximate values for the temperatures mentioned, to get a reasonable result.
 

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