MATHEMATICAL MODELS. Modelling of solids

To simulate transient heat diffusion in the winding composite a 2D model is used in the Cartesian or axial-symmetrical approach. A differential equation for temperature over the given cross-section S of the winding k is:

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n=0 - Cartesian coordinates; n=1 - cylindrical coordinates.

The boundary condition of the third kind is formulated for the section k having heat exchange with helium flow i 
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where hi is the heat transfer coefficient and  is the corresponding temperature of helium inside thechannel i. At the outer surface of the winding the appropriate boundary condition is formulated. 

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