Modeling the effect of coating weight on the kinetics of iron enrichment in hot dip galvanneal coatings on interstitial-free steel sheets

Abstract

The coating weight is shown to have a significant effect on the isothermal kinetics of iron enrichment in hot dip galvanized coatings on interstitial-free (IF) steel sheets during a postcoating heat treatment that simulates galvannealing. A simple quantitative model is proposed to account for this effect and is found to give reasonable agreement with the experimental results obtained for the kinetics of iron enrichment for coating weights of 60 and 80 glm 2. A simple model for the kinetics of coating iron enrichment in hot dip galvanized interstitial-free (IF) steels for isothermal galvannealing has been recently developed (Ref 1, 2). The model has been shown (Ref 1-3) to give good agreement with Xavier, Seixas, and Rios (Ref 3), Jordan, Goggins, and Marder (Ref 4), and Lin, Meshii, and Cheng (Ref 5) data. A detailed description of the model as well as its assumptions and applicability can be found in previous work (Ref 1, 2). The fundamental equation of the model is:where W is the coating iron content, W s is a coating saturation iron content, and W 0 is the initial coating iron content, all in mass%. Equation 1 can be integrated noting that for t = 0, W = W 0, where W 0 is the initial coating iron content:where Mis the total mass of the coating. Here one assumes that, as a first approximation, both the total mass of the coating, M, and the coating density remain constant. Noticing that MIA is the coating weight per unit of area, M A, and that W= I00 (mlMA) where m is the mass of iron per unit of area of the coating, Eq 4 can be written as:Comparing Eq 1 and Eq 5 one can write:In the present work, the above model is modified to take into account the effect of the coating thickness on the kinetics of iron enrichment of the Fe-Zn coating. This can be accomplished by applying mass-transfer concepts in the derivation of Eq 1. The flux of mass per unit of area into the coating can be written:The mass of iron that flows through a certain area A of the interface between the steel and the coating must be equal to the increase in the mass of iron within the coating:where m S is a certain saturation iron mass per unit of area of the coating. Integrating Eq 5 with m = m 0 at t = 0 gives: m = m 0 + (m s -m0) 1 -exp MA)) (Eq 7) Table 1 Summary of parameters obtained by nonlinear curve fitting of Eq 7 to experimental data plotted in Fig. 2(a) to (c)

Influence of Interfacial Layer Growth on the Kinetics of Iron Enrichment in Hot-dip Galvanneal Coatings on IF Steel Sheets.

“…Jordan et al,3) Lin et al4) and Xavier et al5) data were found to agree well with the model. Themodel has been extended to account for the effect of the coating weight on the isothermal klnetics.6) It has also been shownthat isothermal kinetics data described by the model can be successfully used to predict non-Isothermal iron enrichment kinetics.1 '7) Thebasic assumption in the model is that the rate of increase in the coating iron content, dW/dt, is proportional to the difference between a certain saturation coating iron content (in masso/o), Ws, and the coating iron content, W, ( (6) to the data of Fig. 2.…”

“…(6) was carried out using the value of n found by fitting Eq. (3) to data of Fig, I Isothermal iron enrichment kinetics.…”

“…Dashedand solid lines were obtained by fitting Eqs. (1) and (6) to the experimental data, respectively. The arrows indicate points which were not included when fitting with Eq.…”

Effect of the Steel Substrate on the Kinetics of Iron Enrichment and on the Processing Variables of Hot-dip Galvannealed Coatings on Steel Sheets.

“…In a series of works [1][2][3][4][5][6][7][8][9][10] both the isothermal and non-isothermal kinetics of iron enrichment of the zinc coating have been quantitatively modeled taking into account factors such as coating mass and aluminum content. That modeling was combined with the time-temperature path followed by the moving sheet during the galvannealing cycle.…”

Modeling the Coating Iron Content as a Function of Small Changes of Processing Variable in Hotdip Galvannealed Coasting on IF Steel Sheets.

“…Therefore it is of considerable interest to understand and to quantify the evolution of the coating iron content as a function of processing variables during the galvannealing process. In previous works [1][2][3][4][5][6][7][8][9][10] the kinetics of iron enrichment for the zinc coating of IF steel sheets has been quantitatively modeled taking into account two "chemical" processing variables, namely, coating mass and aluminum content. This modeling was combined with the time-temperature path followed by the moving sheet during the galvannealing cycle.…”