NUMERICAL VALIDATION OF THE INVARIANT DESCRIPTOR OF CONJUGATE FORCED CONVECTION-CONDUCTION COOLING OF 3D PROTRUDING HEATERS IN CHANNEL FLOW
Murilo Augusto Barbur1; Paulo Henrique Dias dos Santos2; Thiago Antonini Alves1
1 UTFPR/Ponta Grossa; 2 UTFPR/Curitiba
doi:10.20906/CPS/COB-2015-1420
Resumo
In this work, 3D protruding heaters mounted on a conductive substrate in a horizontal rectangular channel with laminar airflow had their temperatures related to the independent power dissipation in each heater by means of a matrix G+ with invariant coefficients. These coefficients are dimensionless and they were called the conjugate influence coefficients (g+) due to the forced convection-conduction nature of the heaters' cooling process. The temperature increase for each heater in the channel was quantified so that the contributions due to self-heating and due to the power dissipation in the other heaters (both upstream and downstream) were clearly identified. For fixed geometry, fluid and flow rate, substrate and heater conductivities, the conjugate coefficients are invariant with the heat generation rate in the heaters' array. Some examples were shown, indicating the effects of the substrate thermal conductivity and the Reynolds number on a coefficient. The results were numerically obtained considering three 3D protruding heaters on a two-dimensional array, using the ANSYS/Fluent 15.0 software.
Palavras-chave: Thermal management; Conjugate heat transfer; Forced convection; Conduction; Invariant descriptor; Conjugate influence coefficients