The energy equation in microchemical systems

The energy equation applicable to microfluidic flows in microchannels was derived from the classical energy equation in its rigorous form. The significance of mass diffusion on the overall heat transfer rate in the absence of temperature gradients and the importance of other terms like viscous dissipation were shown. The formulation reduces to the widely used Dufour expression for binary systems and the significance of the effect for microchemical applications. The final form of the energy equation that incorporates temperature jumps on the walls of the microchannel will solved under some simplifying assumptions.