On the Steady-State Temperature Distribution in a Rotating Cylinder Subject to Heating and Cooling Over Its Surface

1984 ◽  
Vol 106 (3) ◽  
pp. 578-585 ◽  
Author(s):  
W. Y. D. Yuen
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Rotating Cylinder ◽  
Linear Functions ◽  
Strip Rolling ◽  
Heating And Cooling ◽  
Heating Region ◽  
Roll Temperature ◽  
Steady State Temperature ◽  
Roll Gap

A series solution for the two-dimensional, steady-state temperature distribution in a rotating cylinder, subject to surface heating flux conditions that are at most linear functions of the surface temperature, is applied to strip rolling. An examination of the influence of heat input over the heating region (roll gap) on the peak cylinder (roll) temperature is made. A strip scale layer (which is present in hot rolling) is shown to have a significant effect on roll temperatures through its modification of the heat transfer between strip and roll. The present results indicate that significant errors will arise in estimating the peak roll temperature if insufficient terms are used or if the heat distribution is taken to be uniform in the heating region.

Steady-State Temperature Distribution in a Rotating Roll Subject to Surface Heat Fluxes and Convective Cooling

1981 ◽  
Vol 103 (1) ◽  
pp. 36-41 ◽  
Author(s):  
E. J. Patula
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Cold Rolling ◽  
Heat Input ◽  
Surface Heat ◽  
Heat Fluxes ◽  
Solution Technique ◽  
Convective Cooling ◽  
Roll Temperature ◽  
Steady State Temperature

With the higher rolling speeds used in modern cold-rolling mills, proper roll cooling has become a critical factor in avoiding problems of excessive roll spalling and poor thermal crowning. Poor thermal crowning of rolls can severely affect the shape and profile of sheet and strip products. To determine the influence of cooling practices on roll temperature, a mathematical model was developed that determines the two-dimensional (radial and circumferential) steady-state temperature distribution in a rotating roll subject to constant surface heat input over one portion of the circumference and convective cooling over another portion of the circumference. The model is analytical in nature, as opposed to a direct numerical simulation, which enables extensive parametric studies to be performed conveniently. The solution technique can be used to solve numerous problems involving any combination of surface boundary conditions that have, at most, a linear dependence with respect to the surface temperature. With the use of the principle of superposition, the present solution can be utilized to solve problems where various regions of the surface have constant heat fluxes. Results of the present analysis indicate that for normal cold-rolling situations during steady operation, the penetration of the effects of the surface heating and cooling that occur during every roll revolution is usually less than 4 percent of the radius. Furthermore, the bulk of the roll is at a uniform temperature that can be calculated quite accurately by neglecting all internal temperature gradients. The location of the cooling regions relative to the heat-input regions has little effect on the bulk roll temperature in this situation. This approximation would be useful for computing bulk roll temperature, which could be utilized in future models for determining thermal crowns, but would not be suited for determining accurate temperatures at the roll surface.

scholarly journals Analysis of Roll Gap Heat Transfers in Hot Steel Strip Rolling through Roll Temperature Sensors and Heat Transfer Models

2012 ◽  
Vol 504-506 ◽  
pp. 1043-1048 ◽  
Author(s):  
Nicolas Legrand ◽  
Nathalie Labbe ◽  
Daniel Weisz-Patrault ◽  
Alain Ehrlacher ◽  
Tomasz Luks ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Steel Strip ◽  
Temperature Sensors ◽  
Strip Rolling ◽  
Strip Surface ◽  
Roll Temperature ◽  
Heat Transfers ◽  
Roll Gap ◽  
Roll Bite ◽  
Transfer Models

This paper presents an analysis of roll bite heat transfers during hot steel strip rolling. Two types of temperature sensors (drilled sensor /slot sensor) implemented near roll surface and heat transfer models are used to identify in the roll bite interfacial heat flux, temperature and Heat Transfer Coefficient HTCroll-bite during pilot rolling tests. It is shown that: - the slot type sensor is much more efficient than the drilled type sensor to capture correctly fast roll temperature changes in the bite during hot rolling but life’s duration of the slot sensor is shorter. - average HTCroll-bite, identified with roll sensors temperature signals is within the range 15-26 kW/m2/K: the higher the strip reduction is, the higher the HTCroll-bite is. - scale thickness at strip surface tends to decrease heat transfers from strip to roll in the roll bite. - HTCroll-bite appears not uniform along the roll-strip contact, in contrast to usual assumptions made in existing models - Heat dissipated by friction at roll-strip interface and its partitioning through roll and strip respectively seems over-estimated in the existing thermal roll gap model [1]. Modeling of interfacial friction heat dissipation should be reviewed and verified. The above results show the interest of roll temperature sensors to determine accurately roll bite heat transfers and evaluate more precisely the corresponding roll thermal fatigue degradation.

scholarly journals Steady State Temperature Distribution Investigation of HTR Core

2018 ◽  
Vol 962 ◽  
pp. 012040 ◽  
Author(s):  
Sudarmono ◽  
Suwoto ◽  
Syaiful Bakhri ◽  
Geni Rina Sunaryo
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Steady State Temperature
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