2 infinite plates, heat transfer question

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SUMMARY

The discussion focuses on calculating the gap size between two infinite silicon plates with water at 20°C as the fluid. The heat transfer coefficient is specified as 390 W/m²K. To solve this problem, one must establish thermal resistances, particularly for convection and conduction, and apply heat balance equations to equate heat flow across the plates. This method is essential for determining the thermal performance in heat transfer scenarios.

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  • Understanding of thermal resistance concepts
  • Knowledge of heat transfer coefficients
  • Familiarity with conduction and convection heat transfer equations
  • Experience with heat balance equations in thermal systems
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  • Learn how to apply heat balance equations in thermal analysis
  • Research example problems involving infinite plate heat transfer
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mjsteves
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how would you find the gap size between 2 infinite plates given that the fluid is water and the plates are silicon? the temp of water is 20 C and I am assuming that the heat transfer coefficient is 390 W/m^2K. i remember doing this stuff in heat transfer with temperature profiles and stuff but cannot remember how to do it and it is annoying. please help
 
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In a problem like this you typically set up what are called thermal resistances. For example, the thermal resistance of convection IIRC is
<br /> \frac{1}{hA}<br />
Conduction has a slightly different formulation. At that point, you write heat balance equations. The heat flow across any control volume is equal, so the heat across one of the plate equals the heat across the entire system.

This probably isn't the best explanation, but if you do a Google, I'm sure you'll find some example problems.
 

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