Surface Temperature and Surface Heat Flux Determination of the Inverse Heat
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概要
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A method for determining the surface temperature and surface heat flux of a one-dimensional solid, is developed by integration of Duhamel's integral which includes unknown temperature or unknown heat flux in its integrand. Specific forms of surface condition determination are devloped for sample inverse problems : slab, hollow cylinder, cylinder, hollow sphere, sphere. Discussion on the effect of available information at interior point due to damped system and the effect of variation of surface conditions on their formulations shows that these formulations are capable of representing the unknown surface conditions except for small time interval followed by discontinuous change of surface conditions. A small time interval which can not describe any surface condition is demonstrated by a numerical example.
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関連論文
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