Predicting Temperature with a Simple Heat Transfer Model

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To predict the temperature of a cold surface when the temperature of a hot surface is known, a heat transfer model can be established using the known convection coefficient and the distance between the surfaces. The heat flux can be calculated using the convection equation, which relates the heat transfer rate to the temperature difference and the convection coefficient. Understanding the relationship between heat transfer and temperature gradients is crucial for accurate predictions. The discussion highlights the need for clarity in defining known and unknown variables in heat transfer problems. A well-structured model can effectively estimate the temperature of the second surface.
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Problem:

Two surfaces exist, a hot and cold. Between them a span of air of a known distance and convection coefficient exists. If the temperature of one surface is known, what is a good model to predict the temperature of the other? Heat flux between the two is unknown. I kindly request help setting this problem up, as well as determine an accuracte model.

Thanks,

Tom,
 
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If you know the convection coefficient why do you say the heat flux is unknown?
 
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