Vol. 13, No. 4, 2018

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An analytical solution for heat flux distribution of cylindrically orthotropic fiber reinforced composites with surface effect

Junhua Xiao, Yaoling Xu and Fucheng Zhang

Vol. 13 (2018), No. 4, 543–554
Abstract

A theoretical study is conducted on the problem of two-dimensional steady-state heat transfer of composites with cylindrically orthotropic fiber with surface effect containing isotropic core. By introducing an appropriate coordinate transformation to convert the governing differential equation into a harmonic one, an analytical solution to the heat flux fields of the cylindrically orthotropic nanofiber reinforced composites is derived based on the surface theory model. Numerical examples provide a better understanding of interesting interaction effects of composite microstructures (geometric and physical parameters of the fiber and core) in heat flux distribution. The radial and circumferential heat flux distributions in the nanocomposites are investigated. The effects of size of the fiber, thermal conductivity of the core and radius of the core on the heat flux distribution are discussed.

Keywords
surface effect, nanofiber, size dependent, heat flux, cylindrically orthotropic fiber
Milestones
Received: 27 May 2018
Revised: 2 September 2018
Accepted: 28 September 2018
Published: 13 December 2018
Authors
Junhua Xiao
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province
Yanshan University
Qinhuangdao 066004
China
Yaoling Xu
Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures of Hebei Province
Yanshan University
Qinhuangdao 066004
China
Fucheng Zhang
State Key Laboratory of Metastable Materials Science and Technology
Yanshan University
Qinhuangdao 066004
China