Microchannel Heat Transfer with Slip Flow and Wall Effects

Abstract

Analysis is presented for conjugate heat transfer in a parallel-plate microchannel. Axial conduction in the fluid and in the adjacent wall is included. The fluid is a constant property gas with a slip-flow velocity distribution. The microchannel is heated by a small region on the channel wall. The analytic solution is given in the form of integrals by the method of Green's functions. Quadrature is used to obtain numerical results for the temperature and heat transfer coefficient on the heated region for various Peclet number, Knudsen number, and wall materials. A region downstream of the heater is also explored. These results have application in the optimal design of small-scale heat transfer devices for biomedical applications, electronic cooling, and advanced fuel cells.

Semi-analytical source (SAS) method for 3-D transient heat conduction problems with moving heat source of arbitrary shape

“…Among other techniques, an advantage of the the GF method is that it is based on easily accessible, open-source libraries [26] . When the GF is available, which is specific to the geometry and boundary conditions of the problem, the solution has the form of integral expressions assembled in a straight-forward manner and evaluated in several ways including symbolic solution toolboxes [25,[27][28][29] . The GFM applies to linear problems on regular geometries (i.e.…”

Analysis of extended micro-Graetz problem in a microtube

“…The conventional slug flow problem in parallel-plate microchannel was analytically studied by Mecili and Mezaache [20] for constant wall temperature and constant heat flux boundary conditions, taking into consideration slip characteristics and axial conduction effect. Cole et al [21] analytically investigated the conjugate heat transfer problem in a parallel-plate microchannel in the slip flow regime. The effect of axial conduction both in the gas and wall is included in their analysis.…”

Experimental Research on Flow and Heat Transfer in Microchannel with Refrigerant HFO1234yf

“…Flow-pattern-based prediction methods are established with 92% of the predictions within 25% of the experimental data. Cole et al [11] analyzed the heat transfer in a parallel-plate microchannel in the form of integrals by the method of Green's functions. The method is used to calculate the temperature and heat transfer coefficient on the heated region.…”