Q-3. Briefly explain the mathematical modelling of any one of the manufacturing processes. Ans: Mathematical model of polymer extrusion process : Polymer material consists of long chain molecules. In extrusion of thermoplastic polymers, important parameters are Material flow and type of flow Heat transfer in flow Residence time Mixing of particles in flow in multiple polymers, etc. To analyse these parameters, mathematical models are useful. Using governing equations and boundary conditions (B.C), a model is created and a solution is obtained for particular B.C. Governing equations: To model any flow and thermal transport in the manufacturing process, conservation of mass, conservation of energy and the force momentum balance equation is used. The equations are as follow, Where, ρ is density, t is time, T is temperature, V is the velocity vector, μ is dynamic viscosity, F is body force, p is pressure, Cp is specific heat at constant pressure, β is coefficient of volumetric ther
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