A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section

• Published in: International journal of heat and mass transfer Vol. 51; no. 15-16; pp. 3753 - 3762
• Main Author: Hooman, K.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15.07.2008; Elsevier
• Subjects: Applied fluid mechanics; Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fluidics; Fundamental areas of phenomenology (including applications); MEMS; Microscale; Physics; Superposition; Temperature jump; Velocity slip; MEMS; Temperature jump; Superposition; Velocity slip; Microscale; Slip flow; Forced convection; Pipe flow; Computational fluid dynamics; Digital simulation; Boundary conditions; Microchannel; Modelling; Microstructure; Superposition method; Microfluidics; Heat transfer
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2007.12.014

This work presents a superposition approach to investigate forced convection in microducts of arbitrary cross-section, subject to H1 and H2 boundary conditions, in the slip-flow regime with further complication of a temperature jump condition assumption. It is shown that applying an average slip velocity and temperature jump definition, one can still use the no-slip/no-jump results with some minor modifications. Present results for slip-flow in microchannels of parallel plate, circular, and rectangular cross-sections are found to be in complete agreement with those in the literature. Application of this methodology to microchannels of triangular cross-section is also verified by comparing the present results with those obtained numerically by undertaking the commercially available software CFD-ACE.