Maxwell-Cattaneo

Total votes: 0

This project focuses on the numerical simulation of the Maxwell-Cattaneo’s heat transfer equation with Matlab.

The numerical resolutions are made thanks to the Matlab software. We first start by numerical experiments on the classical Fourier’s then we consider the Maxwell-Cattaneo’s. Several examples and numerical results are given; the last numerical simulations include the velocity of the fluid in the model equations.

The aim of this paper is to present some numerical results for the Maxwell-Cattaneo system.

We first consider the classical heat equation for a linear Fourier law which proposes an interpretation of the heat conduction with infinite propagation. This paradox of instantaneous propagation can be eliminated by changing its parabolic nature into hyperbolic one. Below the Fourier’s law takes the form: q = -grad(T)
where K>0 is the conduction parameter. This paradox has been analyzed by several researchers and lead to the Maxwell-Cattaneo’s law which we will focus on. This equation changes the nature of the heat equation.

Fourier’s law involves a parabolic equation for the temperature field. In Fourier’s law, any initial disturbance in a material body is propagates instantly. To correct this unrealistic feature, the Maxwell-Cattaneo’s law is one of the various modifications of Fourier’s law. Below the Maxwell-Cattaneo’s law writes as:
With denotes the thermal relaxation which must be very small (the order of picoseconds for most metals). In this equation, is called the thermal inertia and avoids the phenomenon of infinite propagation. For our numerical resolution, we will use a liquid material as for gaseous material and for most solids the solutions seems to be unrealistic.

Comments

Submitted by Mariana (not verified) on
Fantastic goods from you, man. I have be mindful your <br> <br> stuff prior to and you are just too magnificent.<br> <br> I really like what you have obtained here, really like what you are <br> <br> saying and the way in which wherein you say it.<br> <br> <br> <br> You make it enjoyable and you still take care of to keep it wise.<br> <br> I cant wait to learn far more from you. That is really a wonderful web site.<br> <br> <br> <br> <br> <br> click through the following website (<a href="https://codigodescuentos.wordpress.com/2017/05/25/maneras-para-ahorrar-en-las-compras-y-en-las-facturas/">Merry</a>)<br> <br> http://dir.eccion.es/usuario/tcpromo

Submitted by Hilda (not verified) on
We are a gaggle of volunteers and starting a new <br> <br> scheme in our community. Your site provided us <br> <br> with valuable information to work on. You have performed an impressive process <br> <br> and our whole neighborhood shall be thankful <br> <br> to you.<br> <br> <br> <br> website ( Athena - http://www.rentacasas.cl/?a=8045 )<br> <br> http://finanzasfacil.tumblr.com

Submitted by Lorenzo (not verified) on
If some one needs expert view regarding blogging after that i propose him/her to visit this <br> <br> web site, Keep up the good job.<br> <br> <br> <br> website ( Ellen - http://seawaterflakeicemachine1.blogspot.com/ )<br> <br> http://pmabio.over-blog.com/2016/10/los-creditos-rapidos-en-el-punto-de-mira-del-tribunal-supremo.html

Submitted by Hilda (not verified) on
We are a gaggle of volunteers and starting a new scheme in our community.<br> <br> Your site provided us with valuable information to work on. You have performed an impressive process and our whole neighborhood shall be thankful to you.<br> <br> <br> <br> <br> <br> website ( Athena - http://www.rentacasas.cl/?a=8045 )<br> <br> http://finanzasfacil.tumblr.com

Submitted by Lorenzo (not verified) on
If some one needs expert view regarding blogging <br> <br> after that i propose him/her to visit this web site, Keep up the good job.<br> <br> <br> <br> <br> <br> website ( Ellen - http://seawaterflakeicemachine1.blogspot.com/ )<br> <br> http://pmabio.over-blog.com/2016/10/los-creditos-rapidos-en-el-punto-de-mira-del-tribunal-supremo.html

Add new comment

CAPTCHA
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.
9 + 5 =
Solve this simple math problem and enter the result. E.g. for 1+3, enter 4.