Calculation of conjugate heat transfer problem with volumetric heat generation using the Galerkin method.

*(English)*Zbl 1129.80004In this paper it is used the Galerkin method for solving conjugate heat transfer type problems, provided a volumetric heat generation is present in a solid phase. There are obtained detailed results related to velocity and temperature fields either in the coolant flow or in the heat conducting structure. The numerical results justify that the thermal conductivity and the volumetric heat generation in the solid structure have significant influence in the heat transfer.

Reviewer: Teodora-Liliana Rădulescu (Craiova)

##### MSC:

80A20 | Heat and mass transfer, heat flow (MSC2010) |

37L65 | Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems |

76M12 | Finite volume methods applied to problems in fluid mechanics |

80M20 | Finite difference methods applied to problems in thermodynamics and heat transfer |

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\textit{A. Horvat} and \textit{B. Mavko}, Appl. Math. Modelling 29, No. 5, 477--495 (2005; Zbl 1129.80004)

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