The complex function method is applied for the screen printing flow, assuming that the printing ink is highly viscous and Newtonian.
The screen printing flow may be expressed through the Taylor flow. The pressure distribution and the vorticity distribution are obtained easier than the boundary value method by G. I. Taylor. We found that the location of the maximum pressure line of the Taylor flow is different from the previous analysis.
A new flow which may express the screen printing better is obtained by placing a sink at the origin of the Taylor flow.
The theoretical pressure distribution obtained for the new model shows a good agreement with the experimental results obtained by us. As far as the result is concerned, the viscosity of the printing ink changes uniformly under a given shear condition, which matches with the empirical results.
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