Example Flow in Microfluidic Devices

Step 2 In the first version of this problem, set the density and viscosity to 1.0 (corresponding to a nondimensional problem with Reynolds number = 1). 

Step 4 Use the Postprocessing option to check the solution. Choose Boundary Integration and select boundary 2, 3, or 8 (the two inflow boundaries and one outflow boundary). The values of various quantities are given in Table 10.2. 

Step 5 To integrate 1.0 along the boundary, type 1.0 in the window and choose Apply. The number appears in the small screen at the bottom. Since the domain goes from 0 to 0.5 

Likewise, the velocity averages should be 0.5 on the inlets, because v(x) = 1  

In this example, however, the velocity, is not exactly 0.5. This is because the boundary condition has a bump at each corner, due to the discontinuity at the comer. The flow rate is twice as high at the outlet, which is correct because there are two inlets. The sum of the velocity integrals should equal the same integral for the outlet streams. Here 

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