How to calculate indoor temperature?

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Discussion Overview

The discussion centers on calculating indoor temperature in a cottage, considering factors such as insulation, weather conditions, and heating requirements. It addresses theoretical aspects of heat transfer and practical implications for maintaining comfort in a single-room structure.

Discussion Character

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

Main Points Raised

  • One participant inquires about the indoor temperature range based on an R-value of 2.0 and varying outdoor temperatures between 0 and 30 Celsius.
  • Another participant suggests that without heating, the indoor temperature will eventually approximate the outdoor temperature, with slight variations based on sunlight and nighttime cooling.
  • A third participant questions the adequacy of an R-value of 2.0 for insulation and offers to run a thermal model to analyze the situation further.
  • Concerns are raised about air infiltration through doors, windows, and walls, indicating that these factors could significantly affect temperature results.
  • A participant provides a link to a wood stove calculator, suggesting it may assist in determining the amount of timber needed for heating the cottage.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of the insulation and the implications of air leakage, indicating that multiple competing perspectives remain unresolved.

Contextual Notes

Limitations include the lack of specific data on air infiltration rates and the thickness of the insulation material, which could influence the calculations and assumptions made in the discussion.

Akira
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Hello, I am trying to calculate the effect of insulation and weather conditions on a cottage. The cottage is made from a timber frame while the panels are of 4mm plywood. The weather conditions vary throughout the year between 0 and 30 Celsius. Cottage is around 25 m2 with 2.2 m height, consider as single room.

Question 1: What is the indoor temperature range if the insulation material used has an R-2.0 ?
Question 2: If we are to install a timber furnace, how much timber do we need to maintain the room at optimal conditions during the winter ? How long will it take to reach the optimal temperature ? (assume optimal is 25 Celsius)
 
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For question 1, without providing heat to it, the temperature will lag a bit, but ultimately roughly equal outside temperature; a little cooler during the day unless there is bright sun, a little wamer at night.

For #2: do you know what an "R-value" is? It is exactly what you need to use to find a heat flow rate given the delta-T you specified. Give a try to using it and we'll help you along.
 
R-2.0 seems very low for an insulating material. How thick would it be? I could easily run a quick 2D thermal model for you.
 
We don't know how leaky his doors, windows and walls are to air infiltration, so results may vary.
Walking around in bare feet might be a tad uncomfortable.

For a wood stove, check out this calculator I found.
http://www.hearth.com/econtent/index.php/articles/burn_time_calculator
Hopefully the author has done his stuff correctly, and the calculator makes it easy to calculate the calculation of cords of wood needed for a stay at the cottage.:rolleyes:
 
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