Plastic extruder as 3D printer head

Design and Analysis of plastic extruder as 3D printer head
Need help in Objective:2 of the proposal, in mathematical modeling for the proposed extruder!
I've made the CAD design on solid works, which will be in corporated in the research paper. I need some one who can prepare the mathematical model for the extruder
all this will be compiled in the research paper

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