2-dimensional steady laminar fully-developed convective heat transfer between two parallel plates with constant heat flux boundary condition in slip flow region was solved analytically by using a new method based on superposition principle. Velocity slip, temperature jump at the wall and viscous heating effect were considered in the calculation. The solution method is verified for the cases where microscale effect is neglected (Kn = 0). Both the heating case and the cooling case were discussed. The effect of viscous heating on temperature and heat transfer was analyzed. The effect of Brinkman number and the Knudsen number on Nusselt number which express the heat transfer performance were analyzed systemically.

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