Calculation of Limestone Burning in a Coke-Fired Kiln

Abstract

A mathematical model of the steady-state process of limestone burning in a kiln is proposed in the one-dimensional approximation. The model is developed on the basis of the laws of conservation of mass and energy with regard for the kinetics of physicochemical transformations and is a set of ordinary differential equations. If the geometric parameters of the kiln are known, then by setting the conditions at the inlet and outlet, i.e., the boundary conditions, and solving the boundary-value problem, one can determine the thermochemical and hydrodynamic situation in the kiln. In particular, the model allows one to find the kiln length distributions of the compositions and temperatures of the solid and gas phases, the mass flow rates, and the volume contents at various feed rates and initial temperatures of air, raw material, and fuel and different coke and limestone particle sizes.