Heat transfer from a particle in laminar flows of a variable thermal conductivity fluid
Document Type
Article
Publication Date
6-2021
Department
Department of Mechanical Engineering-Engineering Mechanics
Abstract
We revisit the classical problem of steady-state heat transfer from a single particle in a uniform laminar flow with the assumption that the thermal conductivity of the fluid changes linearly with the temperature. We use a combination of asymptotic and scaling analyses to derive approximate expressions for the dimensionless heat transfer coefficient, i.e., the Nusselt number Nu, of arbitrarily shaped particles. The results cover the entire range of the Peclet number Pe. We find that, for a constant temperature boundary condition and fixed geometry, the Nusselt number is essentially equal to the product of two terms, one of which is only a function of Pe while the other one is nearly independent of Pe and mainly depends on the proportionality constant of the conductivity-temperature relation. We also show that, in contrast, when a uniform heat flux is imposed on the surface of the particle, Nu can be estimated as a summation of a Pe-dependent piece and one that solely varies with the proportionality constant.
Publication Title
International Journal of Heat and Mass Transfer
Recommended Citation
Dehdashti, E.,
Razizadeh, M.,
&
Masoud, H.
(2021).
Heat transfer from a particle in laminar flows of a variable thermal conductivity fluid.
International Journal of Heat and Mass Transfer,
171.
http://doi.org/10.1016/j.ijheatmasstransfer.2021.121067
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/14704