Heat Transfer Formulae for Charcoal-Concrete Experiment

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The experiment involves using burning charcoal as a heat source, with three thermocouples measuring temperatures at various points in a concrete block. The initial approach using the formula Q=mcΔT was deemed unsuitable for calculating heat transfer between the charcoal and the concrete, as well as within the concrete itself. The user is seeking alternative formulas that accurately reflect the heat transfer dynamics observed in their data. Suggestions include considering Finite Element Analysis for a more comprehensive understanding of heat transfer. Reference to "Fundamentals of Heat and Mass Transfer" by Incropera is recommended for additional formulas and practical examples.
ahbin98
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I am doing my final year project regarding how well can concrete block absorb heat and trap the thermal energy within itself and save it for later use which is thermal energy storage.
My experiment procedure is that I am using burning charcoal as the heat source, and there are three thermocouples used, first one measuring the temperature of the charcoal, second one measuring the inner temperature of the concrete block, third thermocouple is placed on the top part which is furthest from the heat source.

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Now I've obtained the experiment data, but I can't figure out which formulae should I use to process the data, at first I thought using the Q=mcΔT is ok, but in the end I realized that is not a suitable equation for me to use. I am searching for a formulae which allows me to calculate the heat transfer from charcoal to the internal part of the concrete, and the heat transfer from the internal part of the concrete to the top surface part of the concrete.
If I use Q=mcΔT, let's assume, the charcoal have a temperature of 700°C (T0), the internal of concrete have a temperature of 50°C (T1), compared to another set of data, where charcoal have a temperature of 700°C (T0), and internal of concrete have a temperature of 100°C (T1). If these 2 sets of data applied to the formulae Q=mcΔT, the first set will have greater heat coefficient since T0-T1 is greater than the second set of T0-T1, which seems illogical since the second set should have greater heat coefficient as the temperature of the internal part of the concrete rise higher. This makes me think I am using the wrong formulae, are there any other formulae suitable for my experimental data? Please send helps and thank you.
 
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Have you considered using Finite Element Analysis to get a solution of this problem and compare the results with experiment ?

For formulas check the "Fundamentals of Heat and Mass Transfer" by Incropera. It covers lots of different cases with practical examples.
 
My idea is that I want to use immerse Whitetail Antlers in a fishtank to measure their volumetric displacement (the Boone and Crockett system is the current record measurement standard to place in a juxtaposition with) I would use some sight glass plumbed into the side of the tank to get the change in height so that I can multiply by the tank cross-section. Simple Idea. But... Is there a simple mechanical way to amplify the height in the sight glass to increase measurement precision...

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