The Fourier law correctly describes heat transport in most practical macroscopic problems.
However, for heat transfer in rapid processes, heat transport on micro-and nanoscales, and …

In this work, the unsteady magnetohydrodynamics boundary layer flow and heat transfer of
novel generalized Kelvin–Voigt viscoelastic nanofluids over a moving plate are investigated …

In this paper, considering the heat flux and the temperature gradient approximated by the
fractional Taylor's series expansions with different orders in dual-phase-lag (DPL) model, we …

The Jeffreys-type heat conduction equation with flux precedence describes the temperature
of diffusive hot electrons during the electron–phonon interaction process in metals. In this …

Abstract Recent studies (see Rukolaine 2014, 2017) have deduced solutions of the
parabolic and hyperbolic dual-phase-lag (DPL) models in the three-dimensional space …

This article proposes a time fractional dual-phase-lagging (DPL) heat conduction model in a
double-layered nanoscale thin film with the temperature-jump boundary condition and a …

Nanoscale heat transfer cannot be described by the classical Fourier law due to the very
small dimension, and therefore, analyzing heat transfer in nanoscale is of crucial importance …

Hyperbolic heat conduction models have been proposed to characterize the breakdown of
Fourier's law, ie thermal waves. In this paper, three mathematical representations for …

In this paper we present a new numerical technique for 1D, 2D, and 3D time-fractional
second order dual-phase-lag model of heat transfer. The problem is formulated as a solution …

In recent years, various types of methods have been proposed to approximate the Caputo
fractional derivative numerically. A common challenge of the methods is the non-local …