1 |
Morton, B. R., "On the Equilibrium of a Stratified Layer of Fluid," J. Mech. Appl. Math., 10, 433(1957).
DOI
|
2 |
Foster, T. D., "Stability of Homogeneous Fluid Cooled Uniformly From Above," Phys. Fluids, 8, 1249(1965).
DOI
|
3 |
Ryoo, W. S. and Kim, M. C., "Effect of Vertically Varying Permeability on the Onset of Convection in a Porous Medium," Korean J. Chem. Eng., 35, 1247(2018).
DOI
|
4 |
Homsy, G. M., "Global Stability of Time-Dependent Flows: Impulsively Heated or Cooled Fluid Layers," J. Fluid Mech., 60, 129(1973).
DOI
|
5 |
Gumerman, R. J. and Homsy, G. M., "The Stability of Uniformly Accelerated Flows with Application to Convection Driven by Surface Tension," J. Fluid Mech., 68, 191(1975).
DOI
|
6 |
Wankat, P. C. and Homsy, G. M., "Lower Bounds for the Onset Time of Instability in Heated Layers," Phys. Fluids, 20, 1200(1977).
DOI
|
7 |
Straughan, B., The Energy Method, Stability, and Nonlinear Convection, 2nd ed. Applied Mathematical Sciences, vol. 91. New York, NY: Springer (2004).
|
8 |
Harfash, A. J. and Straughan, B., "Magnetic Effect on Instability and Nonlinear Stability in a Reacting Fluid," Meccanica, 47, 1849(2012).
DOI
|
9 |
Kim, M. C. and Choi, C. K., "Energy Stability Analyses on the Onset of Convection Driven by Soret-Effect in Nanoparticles Suspension Heated from Above," Phys. Rev. E., 76, 036302(2007).
|
10 |
Kim, M. C. and Choi, C. K., "Relaxed Energy Stability Analysis on the Onset of Buoyancy-Driven Instability in the Horizontal Porous Layer," Phys. Fluids, 19, 088103(2007).
DOI
|
11 |
Kim, M. C., Choi, C. K., Yoon, D. Y. and Chung, T. J., "Onset of Marangoni Convection in a Horizontal Fluid Layer Experiencing Evaporative Cooling," Ind. Eng. Chem. Res., 46, 5775(2007).
DOI
|
12 |
Kim, M. C., Song, K. H. and Choi, C. K., "Energy Stability Analysis for Impulsively Decelerating Swirl Flows," Phys. Fluids, 20, 064101(2008).
DOI
|
13 |
Kim, M. C., Choi, C. K. and Yoon, D.-Y., "Relaxation on the Energy Method for the Transient Rayleigh-Benard Convection," Phys. Lett. A, 372, 4709(2008).
DOI
|
14 |
Kim, M. C., "Onset of Buoyancy-Driven Convection in Isotropic Porous Media Heated from Below," Korean J. Chem. Eng., 27, 741(2010).
DOI
|
15 |
Davis, S. H., "Buoyancy-Surface Tension Instability by the Method of Energy," J. Fluid Mech., 39, 347(1969).
DOI
|
16 |
Shen, S. F., "Some Considerations on the Laminar Stability of Time-Dependent Basic Flows," J. Aero. Sci., 28, 397(1961).
DOI
|
17 |
Matar, O. K. and Trojan, S. M., "The Development of Transient Fingering Patterns During the Spreading," Phys. Fluids, 11, 3232 (1999).
DOI
|
18 |
Chen, J.-C., Neitzel, G. P. and Jankowski, D. F., "The Influence of Initial Condition on the Linear Stability of Time-Dependent Circular Couette Flow," Phys. Fluids, 28, 749(1985).
DOI
|
19 |
Neitzel, G. P., "Onset of Convection in Impulsively Heated or Cooled Fluid Layers," Phys. Fluids, 25, 210(1982).
DOI
|
20 |
Hwang, I. G., "On Compositional Convection in Near-Eutectic Solidification System Cooled from a Bottom Boundary," Korean Chem. Eng. Res., 55, 868(2017).
DOI
|
21 |
Foster, T. D., "Onset of Convection in a Layer of Fluid Cooled from Above," Phys. Fluids, 8, 1770(1965).
DOI
|
22 |
Vidal A. and Acrivos A., "Effect of Nonlinear Temperature Profiles on Onset of Convection Driven by Surface Tension Gradients," Ind. Eng. Chem. Fundamen., 7, 53(1968).
DOI
|