Article

Article title ON A THERMAL CONDUCTIVITY PROBLEM FOR A CYLINDER WITH CONVECTIVE HEAT EXCHANGE
Authors A.I. Zhornik, V.A. Kirichek, P.A. Savochka
Section SECTION VI. MATHEMATICAL MODELING IN THE STUDY OF BIOLOGICAL OBJECTS
Month, Year 04, 2013 @en
Index UDC 519.4
DOI
Abstract A nonstationary thermal conductivity problem for a cylinder with a convective heat exchange with a medium with a fluidized bed is considered. This fluidized bed is formed between the cylindrical surface and the coolant. Depending on the heat flux density supplied to the fluid from the heating surface, a continuous layer or separate vapor bubbles form on it. Otherwise boiling ceases when the surface temperature is below the boiling point. Therefore, the heat transfer coefficient is a function of cylinder temperature, therefore we have a nonlinear boundary condition. The solution is carried out by numerical and approximate analytical methods. The results obtained by these methods are compared.

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Keywords Cylinder; thermal conductivity; heat exchange; temperature field.
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