Which Factors Influence The Radial Equivalent Thermal Conductivity Of Steel Coils? Key Impacts On Annealing Efficiency

The radial equivalent thermal conductivity of steel coils during annealing is driven by a combination of heat convection, radiation within interlaminar gaps, and solid thermal conduction at contact points. The primary factors influencing this process include the size of interlaminar gaps (dictated by winding tension), the thermophysical properties of the protective gas, the contact stress between layers, and the thermal resistance of any oxide film present on the steel surface.

The efficiency of heat transfer toward the center of a steel coil is ultimately determined by a complex resistance network formed by the interaction between solid steel layers and the gas-filled gaps separating them.

Which factors influence the radial equivalent thermal conductivity of steel coils? Key Impacts on Annealing Efficiency

Mechanisms of Heat Transfer

The Role of Interlaminar Gaps

Heat transfer in a coiled structure does not behave like conduction through a solid block. The process is heavily influenced by the air or gas gaps that exist between the layers of steel.

Within these gaps, heat is transferred via convection and radiation. These mechanisms dominate where physical contact between layers is absent, acting as a bridge across the empty space.

Solid Thermal Conduction

Direct heat transfer occurs only at specific contact points where steel layers physically touch.

This solid thermal conduction provides the path of least resistance. However, it is limited by the surface roughness and flatness of the strip, which prevents perfect contact across the entire area.

Key Influencing Factors

Winding Tension and Gap Size

The winding tension applied during the coiling process is the most critical structural variable.

Higher tension compresses the coil, effectively reducing the size of the interlaminar gaps. Smaller gaps minimize the distance heat must travel via convection/radiation and increase the surface area available for solid conduction.

Protective Gas Properties

The environment inside the annealing furnace plays a significant role. The type and thermophysical properties of the protective gas occupying the interlaminar gaps directly affect conductivity.

Gases with higher thermal conductivity facilitate better heat transfer across the gaps where metal-to-metal contact is missing.

Surface Oxide Films

The surface condition of the steel strip introduces an additional layer of thermal resistance.

An oxide film on the steel surface acts as a thermal barrier. The thickness and composition of this film contribute to the overall resistance network, impeding the flow of heat from one layer to the next.

Contact Stress

Beyond the initial gap size, the actual contact stress between layers influences conductivity.

Higher contact stress deforms micro-asperities (surface roughness), increasing the effective contact area. This enhances the solid conduction component of the total thermal conductivity.

Understanding the Trade-offs

The Tension Balance

While increasing winding tension improves radial thermal conductivity, it is not a cure-all solution.

Excessive tension can lead to mechanical issues, such as sticking (diffusion bonding) between layers or deformation of the coil geometry.

Limits of Gas Convection

Relying heavily on gas convection in loose coils can lead to uneven heating.

Large gaps may allow for better gas flow, but they disrupt the uniformity of the radial heat front, potentially causing thermal stresses within the coil structure.

Optimizing Process Parameters

To manage the annealing process effectively, you must balance mechanical constraints with thermal requirements.

If your primary focus is maximizing heating efficiency: Prioritize higher winding tension to minimize gap size and maximize solid contact stress, thereby increasing radial conductivity.
If your primary focus is preventing surface defects: Monitor the oxide film thickness and control the protective gas atmosphere to ensure consistent thermal properties without relying solely on mechanical compression.

Understanding the specific contribution of gap size and contact stress allows for precise control over the coil's thermal history.

Summary Table:

Factor	Mechanism of Influence	Impact on Thermal Conductivity
Winding Tension	Reduces interlaminar gap size	Increases conductivity via improved contact
Protective Gas	Facilitates heat transfer in gaps	High-conductivity gases enhance radial heat flow
Contact Stress	Deforms surface micro-asperities	Increases solid conduction area between layers
Oxide Film	Acts as a thermal barrier	Decreases conductivity by adding thermal resistance
Surface Roughness	Limits physical contact points	Higher roughness typically reduces solid conduction

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References

Yang Xiao-jing, Yu-Ren Li. Study of heat transfer model and buried thermocouple test of bell-type annealing furnace based on thermal equilibrium. DOI: 10.1038/s41598-025-97422-4

This article is also based on technical information from Kintek Furnace Knowledge Base .