Computation method for gas gliding flow in micro-fluid device in complex geometrical boundary
A technology of microfluidic devices and computing methods, applied in computing, instrumentation, special data processing applications, etc., and can solve problems such as less research
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example 1
[0044] Example 1: Using the proposed calculation method, the pressure-driven slip flow in a circular microchannel is calculated. The geometric boundary of the circular microchannel is not a plane but an arc surface, and due to the regular geometric shape, an analytical solution exists. Therefore, the correctness of this method can be verified through this example. The flow characteristics in the microchannel can be expressed by the Poiseuille number (Po):
[0045]
[0046] In the formula, F is the friction factor, Re is the Reynolds number, is the average pressure gradient in the flow direction, D h is the hydraulic diameter, is the average velocity at the cross section. For the macroscopic circular pipe flow, without considering the rarefaction effect, Po=64. For circular microchannels, Po and Kn numbers satisfy the following relationship:
[0047] Po = 64 1 + 8 ...
example 2
[0052] Example 2: Calculation of the effect of random surface roughness on slip flow in a circular microchannel. The geometric boundaries of random rough circular microchannels are complex, and the conventional sliding boundary conditions are difficult to deal with, but using this method, better results can be obtained. figure 1 The slip velocity at the surface of the random rough microchannel is given. It can be found that the slip velocity is small at the position with relatively large roughness (trough); while at the position with relatively small roughness (peak), the slip velocity Great speed. Similar results were obtained when researchers used different methods to study the effect of roughness profiles on 2D slip flow. However, this method can accurately capture the gas slip characteristics of the three-dimensional random rough surface.
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