Modeling of heat transport and exact analytical solutions in thin films with account for constant non-relativistic motion

Zhukovsky, K. V.; Oskolkov, D.

doi:10.1016/j.ijheatmasstransfer.2019.119085

Cited by 6 publications

(1 citation statement)

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“…Therefore, in this paper, we adopted the Ballistic Diffusion Model reported by Lebon [12]. The method is dominated by two types of phonons, ballistic phonons that transfer heat while moving straight, and diffusion phonons that are derived from ballistic phonons [13,14]. The heat conduction equation of the diffuse phonon in the stationary state is derived from equation ( 1) and is expressed by equation ( 2) [15,16].…”

Section: Simulation Methodsmentioning

confidence: 99%

Relationship Between Heat and Troughs During a Transport Process of Heating the Pet Films

Sunami,

Shoji,

Ibrahim

2023

IJIE

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Understanding the troughs caused during a heat treatment process is important for ensuring process stability and product quality in roll-to-roll (R2R) productions methodology. The purpose of this study is to confirm the relationship between heat and troughs during a transport process of heating where heat is applied over a wide range of area. The temperature and tension applied to the web during the heated transport process were measured in the experimental analysis. Results showed that the web were stretched in the web transport direction during the heat transfer process. However, troughs did not occur because the experiment was conducted below the glass transition temperature. The comparison between the web temperature obtained in the experimental analysis with the one-dimensional thermal conduction simulation for the temperature distribution of the web are also conducted in this paper. This simulation was performed using a non-Fourier model that can be used on microscales. Simulation results show that when the temperature is gradually raised, the amount of thermal conduction is reduced during transportation of the web. The thermal conduction of ballistic phonon is smaller than that of the diffuse phonon when compared at same distance. Even though there were differences between the experimental values and the simulation results, this is because it ignores the heat transfer and radiant heat transfer.

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Section: Simulation Methodsmentioning

confidence: 99%