Heat Exchange Between Cylindrical Bodies and Liquid Metals

Heat Exchange Between Cylindrical Bodies and Liquid Metals 

Statement of the problem. In the theory of heat exchange between liquid metals (Pr C 1), the fluid field is usually considered on the basis of the ideal fluid model [48], since the hydrodynamic boundary layer lies deep inside the thermal boundary layer. In this case, generally speaking, the Peclet number need not be sufficiently large for the thermal boundary layer approximation to be applicable. 

Let and be the potential and the stream function of the potential flow of a fluid. Since and are determined up to additive constants, we can assume 

The function ip satisfies the Laplace equation Acp - 0 with the boundary conditions 

For a given contour T, one can find ip and ip as some functions of x and y by using methods of the theory of functions of a complex variable [26, 261, 431] in the sequel, these functions are supposed to be known. 

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