heat flow in a annular cylinder of insulating material

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Maybe this belongs successful DIY, because ... I'm trying to analyse nan magnitude of power required to forestall h2o proviso pipes from freezing. The pipes would beryllium protected by electrical heating portion and insulated by tubular tube insulation.

I judge it's an engineering question, since nan modular power travel calculation utilizing R-values will not work; that's because it's unclear what is nan area complete which nan power speech is taking place, since nan extracurricular of nan cylinder has larger area than nan inside.

So, really do I find nan required wattage of pipe-heating portion per portion magnitude of pipe, from nan required somesthesia differential and nan insulating capacity of nan worldly composing nan insulation tubes ?

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