Effect of thermal non-equilibrium and internal heat source on Brinkman-Benard convection

被引：12

作者：

Siddabasappa, C. ^{[1
]}

Sakshath, T. N. ^{[1
]}

机构：

[1] MS Ramaiah Univ Appl Sci, Dept Math & Stat, Bangalore, Karnataka, India

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2021年 / 566卷

关键词：

Local thermal non-equilibrium; Internal heat source; Stability; Porous medium; Free-free; Isothermal; Brinkman-Benard convection; POROUS LAYER; NATURAL-CONVECTION; NONLINEAR STABILITY; HORIZONTAL LAYERS; ONSET; GENERATION; FLUID; MODEL;

D O I：

10.1016/j.physa.2020.125617

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the paper, we make a linear stability analysis in a Newtonian, liquid-saturated high porous medium in the presence of a heat source under the assumption of local thermal non-equilibrium(LTNE). The heat source is represented by an internal Rayleigh number R-I and is considered in two ways (i) internal heat source in a liquid phase (R-Il) and (ii) internal heat source in a solid phase (R-Is). The internal heat generation parameter's effect is to destabilize the onset of stationary convection due to an increase in the system's energy. The results of local thermal equilibrium are obtained as a limiting case of the problem. The effect of various parameters on the onset of convection is analyzed and depicted graphically. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：19

共 50 条

[41] Unsteady natural convection in a partially porous cavity having a heat-generating source using local thermal non-equilibrium model [J].

Astanina, Marina S. ;

Sheremet, Mikhail ;

Umavathi, C. Jawali .

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2019, 29 (06) :1902-1919

[42] Resonant Penetrative Convection with an Internal Heat Source/Sink [J].

Straughan, Brian .

ACTA APPLICANDAE MATHEMATICAE, 2014, 132 (01) :561-581

[43] Effect of General Boundary Conditions on the Brinkman-Bénard Convection of a Newtonian Nanoliquid Using Local Thermal Non-Equilibrium Model [J].

Sakshath, T. N. ;

Narayana, Mahesha ;

Siddheshwar, P. G. ;

Shekar, M. .

JOURNAL OF NANOFLUIDS, 2025, 14 (01) :59-68

[44] A study of Darcy-Benard regular and chaotic convection using a new local thermal non-equilibrium formulation [J].

Siddheshwar, P. G. ;

Kanchana, C. ;

Laroze, D. .

PHYSICS OF FLUIDS, 2021, 33 (04)

[45] Linear and Weakly Nonlinear Stability Analyses of Two-Dimensional, Steady Brinkman-B,nard Convection Using Local Thermal Non-equilibrium Model [J].

Siddheshwar, P. G. ;

Siddabasappa, C. .

TRANSPORT IN POROUS MEDIA, 2017, 120 (03) :605-631

[46] Natural Convection in a Nanofluid Saturated Rotating Porous Layer with Thermal Non-Equilibrium Model [J].

Agarwal, Shilpi ;

Bhadauria, B. S. .

TRANSPORT IN POROUS MEDIA, 2011, 90 (02) :627-654

[47] Effect of Local Thermal Non-equilibrium on the Onset of Convection in a Porous Medium Layer Saturated by a Nanofluid [J].

A. V. Kuznetsov ;

D. A. Nield .

Transport in Porous Media, 2010, 83 :425-436

[48] Effect of Local Thermal Non-equilibrium on the Onset of Convection in a Porous Medium Layer Saturated by a Nanofluid [J].

Kuznetsov, A. V. ;

Nield, D. A. .

TRANSPORT IN POROUS MEDIA, 2010, 83 (02) :425-436

[49] Sharp Instability Estimates for Bidisperse Convection with Local Thermal Non-equilibrium [J].

Franchi, Franca ;

Nibbi, Roberta ;

Straughan, Brian .

TRANSPORT IN POROUS MEDIA, 2024, 151 (01) :193-211

[50] A study on the influence of a local thermal non-equilibrium on the onset of Darcy-Benard convection in a liquid-saturated anisotropic porous medium [J].

Siddabasappa, C. .

JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY, 2022, 147 (10) :5937-5947

← 1 2 3 4 5 →