Conductivity Identification in the Heat Equation by the Heat Flux

Determination of Conductivity in a Heat Equation

We consider the problem of determining the conductivity in a heat equation from overspecified non-smooth data. It is an ill-posed inverse problem. We apply a regularization approach to define and construct a stable approximate solution. We also conduct numerical simulation to demonstrate the accuracy of our approximation.

Heat flux in a vibrated granular gas: the diffusive heat conductivity coefficient

The transport coefficient coupling heat flux and density gradient in a granular gas is measured by taking advantage of the existence of a minimum in the temperature profile of an open vibrated granular medium. This temperature inversion is closely related to the existence of the new transport coefficient. Particle simulations using the Direct Simulation Monte Carlo method will be used to comput...

Experimental Study for Investigating the Mechanism of Heat Transfer near the Critical Heat Flux in Nucleate Pool Boiling

Heat transfer coefficient in nucleate pool boiling near critical heat flux at least one orderhigher than the convectional heat transfer modes. In this paper, an experimental setup isdesigned and fabricated to investigate the mechanism of heat transfer from boiling surface tobulk liquid near critical heat flux. The images of pool boiling near the high heat flux regionreveals that the individual ...

Analytical Analysis of The Dual-phase-lag Heat Transfer Equation in a Finite Slab with Periodic Surface Heat Flux (RESEARCH NOTE)

This work uses the dual-phase-lag (DPL) model of heat conduction to demonstrate the effect of temperature gradient relaxation time on the result of non-Fourier hyperbolic conduction in a finite slab subjected to a periodic thermal disturbance. DPL model combines the wave features of hyperbolic conduction with a diffusion-like feature of the evidence not captured by the hyperbolic case. For the ...

The Heat Equation