RT Journal Article
ID 744c08a107245813
A1 Bakhtiari, Majid
A1 Daneshjou, Kamran
A1 Parsania, Hossein
T1 DUAL-PHASE-LAG HEAT CONDUCTION IN AN FG HOLLOW SPHERE: EFFECT OF THERMAL PULSE TYPE AND LOCATION OF A HEAT SOURCE
JF Heat Transfer Research
JO HTR
YR 2018
FD 2018-03-05
VO 49
IS 4
SP 369
OP 384
K1 dual-phase-lag
K1 FG sphere
K1 Laplace inversion
K1 augmented state-space method
K1 heat source
K1 phase lags ratio
AB The purpose of this paper is to introduce a new mathematical model to solve the heat conduction equation based on the
Dual-Phase-Lag (DPL) theory for investigation of temperature field affected by thermal pulse and heat source location on an FG hollow sphere. This new model, named augmented state space method, based on the laminate approximation theory
in the Laplace domain, can obtain a transient solution, and then the results obtained are converted into the time domain by applying the numerical Laplace transform inversion with consideration of Gibb's phenomenon. Numerical analyses show
the effects of thermal pulse and heat source location and phase lags ratio as boundary conditions on the distribution of temperature on an FG sphere. It is clear that the thermal pulse functions and location of a heat source have different effects on the temperature distribution. In addition, by changing the phase lags ratios, the temperature distribution on a radius and in time history are obtained. Eventually, the results obtained by this method are verified by using some problems available in the literature.
PB Begell House
LK http://dl.begellhouse.com/journals/46784ef93dddff27,4841a49f66edf0f5,744c08a107245813.html