کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
661052 | 1458120 | 2010 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Porous convection with Cattaneo heat flux Porous convection with Cattaneo heat flux](/preview/png/661052.png)
We study the problem of thermal convection in a horizontal layer of Darcy porous material saturated with an incompressible Newtonian fluid, with gravity acting downward. The constitutive equation for the heat flux is taken to be one of Cattaneo type. Care must be taken with the choice of objective derivative for the rate of change of the heat flux. Here we employ a recent model due to Professor C. Christov as well as one suggested many years ago by Professor N. Fox. The thermal relaxation effect in both classes of heat flux law is found to be significant if the Cattaneo number is sufficiently large, and the convection mechanism switches from stationary convection to oscillatory convection with narrower cells. The transition point is calculated and the convection thresholds are derived analytically.
Journal: International Journal of Heat and Mass Transfer - Volume 53, Issues 13–14, June 2010, Pages 2808–2812