A note on thermal history kernel for unsteady heat transfer of a spherical particle

Journal Article · 06 August 2021 · International Journal of Heat and Mass Transfer

DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2021.121781 · OSTI ID:1977189

Balachandar, Sivaramakrishnan R. ^[1]; Ha, Man Yeong ^[2]

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1. Univ. of Florida, Gainesville, FL (United States); OSTI
2. Pusan National Univ., Busan (Korea, Republic of)

When a particle is subjected to an unsteady ambient flow, in terms of either time-dependent relative velocity or time-dependent temperature difference, the net heat transfer from the particle cannot be calculated based on the quasi-steady heat transfer correlation alone. Due to unsteady evolution of the thermal boundary layer, there is also a history contribution to heat transfer. The history contribution to heat transfer is expressed as a convolution integral of past evolution of temperature difference between the particle and the surrounding. While Basset history force and its finite Reynolds number extension have been well studied, similar understanding of unsteady heat transfer and thermal history kernel is lacking. Here, we use existing particle-resolved simulation results to develop a finite Peclet number thermal history kernel, which when used with the convolution integral is demonstrated to accurately predict unsteady heat transfer over a range of Peclet numbers and particle-to-fluid heat capacity ratio.

• Research Organization: Univ. of Florida, Gainesville, FL (United States)
• Sponsoring Organization: US Department of the Navy, Office of Naval Research (ONR); USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: NA0002378
• OSTI ID: 1977189
• Journal Information: International Journal of Heat and Mass Transfer, Journal Name: International Journal of Heat and Mass Transfer Journal Issue: C Vol. 180; ISSN 0017-9310
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English