Tridispersive thermal convection

被引：11

作者：

Gentile, M. ^{[1
]}

Straughan, B. ^{[2
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Appl R Caccioppoli, Via Cintia, I-80126 Naples, Italy

[2] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2018年 / 42卷

关键词：

Tridispersive porous media; Convection in porous media; Tridispersive convection; Nonlinear stability; Linear instability; ASYMPTOTIC STABILITY; NONLINEAR STABILITY; HORIZONTAL WELLS; VISCOELASTICITY; PERMEABILITY; EXISTENCE; MODEL;

D O I：

10.1016/j.nonrwa.2018.01.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive the linear instability and nonlinear stability thresholds for a problem of thermal convection in a tridispersive porous medium with a single temperature. Importantly we demonstrate that the nonlinear stability threshold is the same as the linear instability one. The significance of this is that the linear theory is capturing completely the physics of the onset of thermal convection. This result is different to the general theory of thermal convection in a tridispersive porous material where the temperatures in the macropores, mesopores and micropores are allowed to be different. In that case the coincidence of the nonlinear stability and linear instability boundaries has not been proved. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：378 / 386

页数：9

共 26 条

[1] Analyzing the production data of fractured horizontal wells by a linear triple porosity model: Development of analysis equations [J].