Nonisothermal flow of chemically reacting compound in a flat channel

Abstract

Consideration is given to the flow and heat transfer of non-Newtonian chemically reacting fluid in a flat channel. Many assumptions were made on the basis of the fact that the flow occurs at low values of the Reynolds number and at a high Peclet number. The Ellis model with a viscosity dependent on temperature, pressure and the degree of chemical transformation was used as the rheological model. The flow is accompanied by a chemical reaction that leads to a sharp increase in viscosity. This, in turn, led to the inclusion of the kinetic equation of a chemical reaction in the mathematical model. A high viscosity medium was investigated. Therefore, dissipative heat emissions are accounted in the energy equation. The problem is solved for temperature first-order boundary conditions. We have shown the substantial influence of different parameters on the rate of growth in the hardened wall layer. The solution was analyzed numerically by the finite difference method according to the iterative scheme.