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Hot Embossing by Matthias Worgull

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3.3.2. Flow in Capillaries

In replication processes, a second typical flow based on pressure difference occurs. For filling of molds or pressure drop in runner systems, it is significant to obtain information about the interaction of pressure and flow. For simple geometric cross-sections like circular, quadratic cross-sections or circular gaps, it is possible to obtain an analytic result. As an example, the equations for a circular cross-section will be derived below. Compared to a Newtonian fluid, the calculation for a shear thinning fluid based on the theory of the representative viscosity will be shown.

3.3.2.1. Newtonian Fluid

For a Newtonian fluid, the relationship between pressure drop over the length of a capillary and the shear stress ...

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