9 Numerical Simulation on the Slab Heat Transfer Behavior …
113
1. The kinetic model of steel oxidation by Chen et al. can been used to predicted
the growth of the oxide scale on the surfaces of the slab during the reheating
process, and the simulation results is reasonable.
2. The surfaces temperature and the resident time in the high temperature zone is
important factors for the oxide scale formation rate. To shorten resident time in
the high temperature zone will help to decrease the oxide scale thickness on the
slab surfaces.
3. In the preheating zone, the effect of oxide scale on the heat transfer was negligibly small. In the heating zone, its influence on the heat transfer of the slab
cannot be ignored, and the maximum average heat transfer flux difference with
and without oxide scale is about 1.22 kw/m
2 . In the soaking zone, its influence
will decrease gradually with resident time.
4. The temperature of the slab with oxide scale is lower than that of without oxide
scale during the reheating process, particularly in the high temperature zone.
The relationship curve shape between the ST or CT and resident time are both
similar to “S” shape. The temperature difference within the cross section of the
slab is first increasing and then decreasing during the whole reheating process.
Acknowledgements This work was supported by the National Key Research and Development
Program of China (2017YFA0700300).
References
1. Kim, M.Y.: A Heat transfer model for the analysis of transient heating of the slab in a direct-fired
walking beam type reheating furnace. Int. J. Heat Mass Transf. 50, 3740–3748 (2007)
2. Hsieh, C.T., Huang, M.J., Lee, S.T., Wang, C.H.: Numerical modeling of a walking-beam-type
slab reheating furnace. Numer. Heat Tr. A- App. 53(9), 966–981 (2008)
3. Huang, M.J., Hsieh, C.T., Lee, S.T., Wang, C.H.: A coupled numerical study of slab temperature
and gas temperature in the walking-beam-type slab reheating furnace. Numer. Heat Tr. A- App
54(6), 625–646 (2008)
4. Karimi, H.J., Saidi, M.H.: Heat transfer and energy analysis of a pusher type reheating furnace
using oxygen enhanced air for combustion. J. Iron Steel Res. Int. 17(4), 12–17 (2010)
5. Emadi, A., Saboonchi, A., Taheri, M., Hassanpour, S.: Heating characteristics of billet in a
walking hearth type reheating furnace. Appl. Therm. Eng. 63(1), 396–405 (2014)
6. Han, S.H., Chang, D.: Optimum residence time analysis for a walking beam type reheating
furnace. Int. J. Heat Mass Transf. 55(15–16), 4079–4087 (2012)
7. Steinboek, A., Wild, D., Kugi, A.: Nonlinear model predictive control of a continuous slab
reheating furnace. Control Eng. Pract. 21(4), 495–508 (2013)
8. Morgado, T., Coelho, P.J., Talukdar, P.: Assessment of uniform temperature assumption in
zoning on the numerical simulation of a walking beamreheating furnace. Appl. Therm. Eng.
76, 496–508 (2015)
9. Lindholm, D.: A finite element method for solution of the three-dimensional time-dependent
heat-conduction equation with application for heating of steels in reheating furnaces. Numer.
Heat Tr. A- App 35(2), 155–172 (1999)
10. Jaklic, A., Kolenko, T., Zupancic, B.: The influence of the space between the billets on the
productivity of a continuous walking beam furnace. Appl. Therm. Eng. 25(5–6), 783–795
(2005)
113
1. The kinetic model of steel oxidation by Chen et al. can been used to predicted
the growth of the oxide scale on the surfaces of the slab during the reheating
process, and the simulation results is reasonable.
2. The surfaces temperature and the resident time in the high temperature zone is
important factors for the oxide scale formation rate. To shorten resident time in
the high temperature zone will help to decrease the oxide scale thickness on the
slab surfaces.
3. In the preheating zone, the effect of oxide scale on the heat transfer was negligibly small. In the heating zone, its influence on the heat transfer of the slab
cannot be ignored, and the maximum average heat transfer flux difference with
and without oxide scale is about 1.22 kw/m
2 . In the soaking zone, its influence
will decrease gradually with resident time.
4. The temperature of the slab with oxide scale is lower than that of without oxide
scale during the reheating process, particularly in the high temperature zone.
The relationship curve shape between the ST or CT and resident time are both
similar to “S” shape. The temperature difference within the cross section of the
slab is first increasing and then decreasing during the whole reheating process.
Acknowledgements This work was supported by the National Key Research and Development
Program of China (2017YFA0700300).
References
1. Kim, M.Y.: A Heat transfer model for the analysis of transient heating of the slab in a direct-fired
walking beam type reheating furnace. Int. J. Heat Mass Transf. 50, 3740–3748 (2007)
2. Hsieh, C.T., Huang, M.J., Lee, S.T., Wang, C.H.: Numerical modeling of a walking-beam-type
slab reheating furnace. Numer. Heat Tr. A- App. 53(9), 966–981 (2008)
3. Huang, M.J., Hsieh, C.T., Lee, S.T., Wang, C.H.: A coupled numerical study of slab temperature
and gas temperature in the walking-beam-type slab reheating furnace. Numer. Heat Tr. A- App
54(6), 625–646 (2008)
4. Karimi, H.J., Saidi, M.H.: Heat transfer and energy analysis of a pusher type reheating furnace
using oxygen enhanced air for combustion. J. Iron Steel Res. Int. 17(4), 12–17 (2010)
5. Emadi, A., Saboonchi, A., Taheri, M., Hassanpour, S.: Heating characteristics of billet in a
walking hearth type reheating furnace. Appl. Therm. Eng. 63(1), 396–405 (2014)
6. Han, S.H., Chang, D.: Optimum residence time analysis for a walking beam type reheating
furnace. Int. J. Heat Mass Transf. 55(15–16), 4079–4087 (2012)
7. Steinboek, A., Wild, D., Kugi, A.: Nonlinear model predictive control of a continuous slab
reheating furnace. Control Eng. Pract. 21(4), 495–508 (2013)
8. Morgado, T., Coelho, P.J., Talukdar, P.: Assessment of uniform temperature assumption in
zoning on the numerical simulation of a walking beamreheating furnace. Appl. Therm. Eng.
76, 496–508 (2015)
9. Lindholm, D.: A finite element method for solution of the three-dimensional time-dependent
heat-conduction equation with application for heating of steels in reheating furnaces. Numer.
Heat Tr. A- App 35(2), 155–172 (1999)
10. Jaklic, A., Kolenko, T., Zupancic, B.: The influence of the space between the billets on the
productivity of a continuous walking beam furnace. Appl. Therm. Eng. 25(5–6), 783–795
(2005)