The problem on thermally developed laminar slip gas flow with axial heat conduction in a microchannel (a micropipe or a parallel-plate microchannel) with walls having a constant temperature was solved analytically with the use of the self-adjoint formalism method involving the rearrangement of the energy equation for this flow into a system of two partial differential equations of the first order. The temperature distribution and Nusselt numbers in such a flow have been determined on the assumption that it is hydrodynamically fully developed in the region of the thermal entrance of a microchannel. The data obtained show that the heat transfer in this flow is substantially dependent on the axial heat conduction in it and its rarefaction.
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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 93, No. 3, pp. 625–636, May–June, 2020.
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Haddout, Y., Oubarra, A. & Lahjomri, J. Heat Transfer in the Slip Flow with Axial Heat Conduction in a Microchannel with Walls Having a Constant Temperature. J Eng Phys Thermophy 93, 605–616 (2020). https://doi.org/10.1007/s10891-020-02158-9
- heat transfer
- forced convection
- slip flow
- axial heat conduction
- self-adjoint formalism