This paper deals with transient non-linear heat conduction through the insulation wall of the tank for transportation of liquid aluminum. Tanks designed for this purpose must satisfy certain requirements regarding temperature of loading and unloading, during transport. Basic theoretical equations are presented, which describe the problem of heat conduction finite element analysis, starting from...

solute transport in unsaturated porous media can be viewed as a coupled phenomenon with waterand heat transport, together with mechanical behaviour of media. in this paper, solute transport is formulatedmathematically considering heat and water flow in deformable porous media. advection, dispersion anddiffusion of chemical species in the liquid phase are considered. convection and conduction fo...

Lagging models of heat conduction, such as the Dual-Phase-Lag or the Single-Phase-Lag models, lead to heat conduction equations in the form of partial differential equations with delays or to partial differential equations of hyperbolic type, and have been considered to model microscale heat transfer in engineering problems or bio-heat transfer in medical treatments. In this work we obtain expl...

H. Salt, Transient conduction in two-dimensional composite slab--I. Theoretical development of temperature modes, ht. J. Heat Mass Transfer 26, 1611-1616 (1983). H. Salt, Transient conduction in two-dimensional composite slab--II. Physical interpretation of temperature modes, ht. J. Heat Mass Transfe 26,1617-1623 (1983). M. D. Mikhailov, General solutions of heat equation in finite regions. ht....

We perform non-equilibrium simulations to study heat conduction in two-dimensional strongly coupled dusty plasmas. Temperature gradients are established by heating one part of the otherwise equilibrium system to a higher temperature. Heat conductivity is measured directly from the stationary temperature profile and heat flux. Particular attention is paid to the influence of damping effect on th...

Objectives: We propose a parallel hybrid particle swarm optimization (PHPSO) algorithm to reduce the computation cost because solving the one-dimensional (1D) heat conduction equation requires large computational cost which imposes a great challenge to both common hardware and software equipments. Background: Over the past few years, GPUs have quickly emerged as inexpensive parallel processors ...

Multiple sclerosis (MS) is a progressive neurological disorder that disrupts axonal myelin in the central nervous system. Demyelination produces alterations in saltatory conduction, slowed conduction velocity, and a predisposition to conduction block. An estimated 60-80% of MS patients experience temporary worsening of clinical signs and neurological symptoms with heat exposure. Additionally, M...