Two-dimensional compressible momentum and energy equations are solved to obtain the heat transfer characteristics of gaseous flows in parallel-plate micro-channels. The numerical methodology is based on the Arbitrary-Lagrangian-Eulerian (ALE) method. The computations are performed for channels with constant heat flux walls which range from 1×103 to 1×104 W·m−2. The channel height ranges from 10 to 100 μm and the aspect ratio of the channel height and length is 200. The stagnation pressure varies from 1.2×105 to 5.0×105 Pa. The outlet pressure is fixed at the atmosphere. The predicted wall temperature by the Nusselt number for the conventional size parallel plate duct is compared with that of the results computed by numerical analysis.

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