Brinkman model;
Nonlinear stability;
Subcritical instability;
Second order finite difference;
Implicit and explicit scheme;
STRETCHING VERTICAL SURFACE;
DOUBLE-DIFFUSIVE CONVECTION;
BOUNDARY-LAYER-FLOW;
POROUS-MEDIUM;
MAGNETIC-FIELD;
STABILITY ANALYSIS;
FORCED-CONVECTION;
HEAT-FLUX;
NANOFLUID;
PLATE;
D O I:
10.1007/s11012-015-0215-z
中图分类号:
O3 [力学];
学科分类号:
08 ;
0801 ;
摘要:
Convection induced by the selective absorption of radiation in a porous medium is studied analytically and numerically using the Brinkman model. Both linear instability analysis and nonlinear stability analysis are employed. Then, the validity of both the linear instability and global nonlinear energy stability thresholds are tested using three dimensional simulation. Our results show that the linear theory produce a good predicts on the onset of instability in the basic steady state.
机构:
King Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia
Helwan Univ, Fac Sci, Dept Math, Cairo, EgyptKing Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia
Abd El-Aziz, Mohamed
Nabil, Tamer
论文数: 0引用数: 0
h-index: 0
机构:
King Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia
Suez Canal Univ, Fac Comp & Informat, Dept Basic Sci, Ismailia, EgyptKing Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia
机构:
King Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia
Helwan Univ, Fac Sci, Dept Math, Cairo, EgyptKing Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia
Abd El-Aziz, Mohamed
Nabil, Tamer
论文数: 0引用数: 0
h-index: 0
机构:
King Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia
Suez Canal Univ, Fac Comp & Informat, Dept Basic Sci, Ismailia, EgyptKing Khalid Univ, Dept Math, Fac Sci, Abha 9004, Saudi Arabia