Charrier-Mojtabi,
M. C.
, 1997, “
Numerical Simulation of Two- and Three-Dimensional Free Convection Flows in a Horizontal Porous Annulus Using a Pressure and Temperature Formulation,” Int. J. Heat Mass Transfer,
40(7), pp. 1521–1533.

Khanafer,
K.
,
Al-Amiri,
A.
, and
Pop,
I.
, 2008, “
Numerical Analysis of Natural Convection Heat Transfer in a Horizontal Annulus Partially Filled With a Fluid-Saturated Porous Substrate,” Int. J. Heat Mass Transfer,
51(7), pp. 1613–1627.

Chandran,
R. B.
,
Bader,
R.
, and
Lipiński,
W.
, 2015, “
Transient Heat and Mass Transfer Analysis in a Porous Ceria Structure of a Novel Solar Redox Reactor,” Int. J. Therm. Sci.,
92, pp. 138–149.

Dawood,
H. K.
,
Mohammed,
H. A.
,
Sidik,
N. A. C.
,
Munisamy,
K. M.
, and
Wahid,
M. A.
, 2015, “
Forced, Natural and Mixed-convection Heat Transfer and Fluid Flow in Annulus: A Review,” Int. Commun. Heat Mass Transfer,
62, pp. 45–57.

Caltagirone,
J. P.
, 1976, “
Thermoconvective Instabilities in a Porous Medium Bounded by Two Concentric Horizontal Cylinders,” J. Fluid Mech.,
76(2), pp. 337–362.

Rao,
Y. F.
,
Fukuda,
K.
, and
Hasegawa,
S.
, 1987, “
Steady and Transient Analysis of Natural Convection in a Horizontal Porous Annulus With the Galerkin Method,” ASME J. Heat Transfer,
109(4), pp. 919–927.

Himasekhar,
K.
, and
Bau,
H. H.
, 1988, “
Two-Dimensional Bifurcation Phenomena in Thermal Convection in Horizontal, Concentric Annuli Containing Saturated Porous Media,” J. Fluid Mech.,
187, pp. 267–300.

Charrier-Mojtabi,
M. C.
,
Mojtabi,
A.
,
Azaiez,
A.
, and
Labrosse,
G.
, 1991, “
Numerical and Experimental Study of Multicellular Free Convection Flows in an Annular Porous Layer,” Int. J. Heat Mass Transfer,
34(12), pp. 3061–3074.

Alfahaid,
A. F.
,
Sakr,
R. Y.
, and
Ahmed,
M. I.
, 2005, “
Natural Convection Heat Transfer in Concentric Horizontal Annuli Containing Saturated Porous Media,” IIUM Eng. J.,
6(1), pp. 41–54.

Leong,
J. C.
, and
Lai,
F. C.
, 2006, “
Natural Convection in a Concentric Annulus With a Porous Sleeve,” Int. J. Heat Mass Transfer,
49(17), pp. 3016–3027.

Braga,
E. J.
, and
de Lemos,
M. J. S.
, 2006, “
Simulation of Turbulent Natural Convection in a Porous Cylindrical Annulus Using a Macroscopic Two-equation Model,” Int. J. Heat Mass Transfer,
49(23), pp. 4340–4351.

Alloui,
Z.
, and
Vasseur,
P.
, 2011, “
Natural Convection in a Horizontal Annular Porous Cavity Saturated by a Binary Mixture,” Comput. Therm. Sci.,
3(5), pp. 407–417.

Belabid,
J.
, and
Cheddadi,
A.
, 2013, “
Multicellular Flows Induced by Natural Convection in a Porous Horizontal Cylindrical Annulus,” Phys. Chem. News,
70, pp. 67–71.

Benjamin,
T. B.
, and
Ursell,
F.
, 1954, “
The Stability of the Plane Free Surface of a Liquid in Vertical Periodic Motion,” Proc. R. Soc. London A,
225(1163), pp. 505–515.

Gresho,
P. M.
, and
Sani,
R. L.
, 1970, “
The Effects of Gravity Modulation on the Stability of a Heated Fluid Layer,” J. Fluid Mech.,
40(4), pp. 783–806.

Pelce,
P.
, and
Rochwerger,
D.
, 1992, “
Parametric Control of Microstructures in Directional Solidification,” Phys. Rev. A,
46(8), pp. 5042–5053.

[PubMed]
Campbell,
J.
, 1981, “
Effects of Vibration During Solidification,” Int. Met. Rev.,
26(1), pp. 71–108.

Allali,
K.
,
Volpert,
V.
, and
Pojman,
J. A.
, 2001, “
Influence of Vibrations on Convective Instability of Polymerization Fronts,” J. Eng. Math.,
41(1), pp. 13–31.

Alexander,
J. I. D.
,
Ouazzani,
J.
, and
Rosenberger,
F.
, 1989, “
Analysis of the Low Gravity Tolerance of Bridgman-Stockbarger Crystal Growth—I: Steady and Impulse Accelerations,” J. Cryst. Growth,
97(2), pp. 285–302.

Biringen,
S.
, and
Peltier,
L. J.
, 1990, “
Numerical Simulation of 3-D Bénard Convection With Gravitational Modulation,” Phys. Fluids A: Fluid Dyn.,
2(5), pp. 754–764.

Ostrach,
S.
, 1982, “
Low-Gravity Fluid Flows,” Ann. Rev. Fluid Mech.,
14(1), pp. 313–345.

Peaceman,
D. W.
, and
Rachford,
J. H. H.
, 1955, “
The Numerical Solution of Parabolic and Elliptic Differential Equations,” J. Soc. Ind. Appl. Math.,
3(1), pp. 28–41.

Facas,
G. N.
, 1995, “
Natural Convection From a Buried Pipe With External Baffles,” Numer. Heat Transfer, Part A,
27(5), pp. 595–609.

Mota,
J. P. B.
,
Esteves,
I. A. A. C.
,
Portugal,
C. A. M.
,
Esperança,
J. M. S. S.
, and
Saatdjian,
E.
, 2000, “
Natural Convection Heat Transfer in Horizontal Eccentric Elliptic Annuli Containing Saturated Porous Media,” Int. J. Heat Mass Transfer,
43(24), pp. 4367–4379.

Mota,
J. P. B.
, and
Saatdjian,
E.
, 1994, “
Natural Convection in a Porous Horizontal Cylindrical Annulus,” ASME J. Heat Transfer,
116(3), pp. 621–626.