Mixed symbolic–numerical computation of convective heat transfer with slip flow in microchannels

Steady-state convection heat transfer is analytically solved for laminar flow inside microchannels formed by parallel-plates, making use of the integral transform method and the exact analytical solution of the corresponding eigenvalue problem in terms of confluent hypergeometric functions. A mixed symbolic–numerical algorithm is developed under the Mathematica platform. The paper was also prepared in the Mathematica notebook format, available upon request, allowing for the immediate reproduction of the results and comprehension of the symbolic and computational rules developed.