Laminar convective heat transfer for the thermally developing flow in elliptical minichannels is numerically investigated under constant heat flux with high thermal conductivity materials (H1) and low thermal conductivity materials (H2) boundary conditions. The effects of the Peclet number and the aspect ratio on both the local Nusselt number and the thermal entrance length are presented graphically. The Peclet number is a key parameter for heat transfer in the developing flow. The local Nusselt number is a decreasing function of the Peclet number, especially for the Peclet number less than 500, where a sharp decline can be observed. As the aspect ratio decreases, the Nusselt number increases for the H1 boundary condition but diminishes for the H2 boundary condition. Generalized correlations for the thermal entrance length and the local Nusselt number are proposed for the design and optimization of elliptical minichannel heat sinks.

在高热导率材料（H1）和低热导率材料（H2）边界条件下，在恒定热通量下，对椭圆形微通道中热流的层流对流换热进行了数值研究。Peclet数和纵横比对局部Nusselt数和热入口长度的影响均以图形方式显示。Peclet数是显影流中传热的关键参数。局部Nusselt数是Peclet数的递减函数，尤其是对于小于500的Peclet数，可以观察到急剧下降。随着长宽比的减小，对于H1边界条件，Nusselt数增加，但对于H2边界条件，Nusselt数减小。