General Equation of the Initial-Stage of Sintering Kinetics under Varying Temperature

Abstract

The general equation which represents the degree of the sintering under varying temperature not only for viscous flow but also for diffusion or evaporation-condensation mechanism has been derived as follows:
M/C=a^m+1e^-β/α[{aΣb_i/m+2+(1-aΣb_i/m+2)χ(x)}e^-(x-β)/(x-β)^m+2]_x1^x2 χ(x)=1-m+2/(x-β)+(m+2)(m+3)/(x-β)²-……} where, M: quantity of sintering, C: constant, α: rate of heating or cooling, a: activation energy term, b_i: temperature coefficient of each factor, m: power of absolute temperature in T^m, β: temperature coefficient of change in activation energy term, x: variable concerned both with time and temperature. The above equation is shown to be of a generalized form of various conventional sintering kinetic equations under varying temperature if corresponding value of m and other factors in the equation are given.