Abstract
A high-order accurate implicit operator scheme is used to solve steady incompressible slip flow and heat transfer in 2D microchannels. The present methodology considers the solution of the Navier–Stokes equations using the artificial compressibility method with employing the Maxwell and Smoluchowski boundary conditions to model the slip flow and temperature jump on the walls in microchannels. Since the slip and temperature jump boundary conditions contain the derivatives of the velocity and temperature profiles, using the compact method the boundary conditions can be easily and accurately implemented. The computations are performed for a 2D microchannel and a 2D backward facing step in the slip regime. The results for these cases for different conditions are compared with the available results which show good agreement. The effects of the Knudsen and Reynolds numbers on the flow field and heat transfer characteristics are also investigated.
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The authors would like to thank Sharif University of Technology for the financial support of this study.
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Hejranfar, K., Mohafez, M.H., Khajeh-Saeed, A. (2011). High-Order Accurate Numerical Solution of Incompressible Slip Flow and Heat Transfer in Microchannels. In: Hesthaven, J., Rønquist, E. (eds) Spectral and High Order Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15337-2_40
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DOI: https://doi.org/10.1007/978-3-642-15337-2_40
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