Numerical and mathematical modeling of the injection for incompressible fluids through rigid cylindrical duct: application of melted polymers PPH

Hamid EL-Tourroug, Kamal Gueraoui, Najem Hassanain, Ihsane Modhaffar, Samir Men-La- Yakhaf
2014 Applied Mathematical Sciences  
Ihsane Modhaffar Team of modelling in fluid mechanics and environment, LPT, URAC 13 Faculty of sciences, Mohammed V University, Rabat-Agdal B.P. 1014, Rabat, Morocco Hamid EL-Tourroug et al. Samir Men-La-Yakhaf Team of modelling in fluid mechanics and environment, LPT, URAC 13 Faculty of sciences, Mohammed Abstract Our melted polymer is modeled by incompressible non-Newtonian fluids. The mathematical formulation leads to very complex equations. These complexities can arise, on the one hand,
more » ... n the one hand, from the law of behavior of the fluid of interest (Arrhenius model) and the nature of the flow and on the other hand the nature of the wall considered. We are interested in this study to establish a numerical code to study the flow of molten polymers in rigid cylindrical ducts. Using an iterative numerical finite volume method, we determine the axial profile of the velocity and the temperature. Density of volume [kg/m3] P pressure [Pa] T Temperature [K] K thermal conductivity [W/m.K]  dynamic viscosity [kg/m.s] Cv Specific heat with constant volume [J/kg. K] u,w Dimensional velocity components [m/s] w0 Speed at the inlet side [m/s] L0 Length of the conduit a relaxing break [m] T0 Ambient temperature to the inlet side [K] R0 Radius a relaxing break [m] E Activation energy [jmol -1 ]
doi:10.12988/ams.2014.411935 fatcat:ld6pqpiwpzat7esjbwd53yb6cm