Abedin, M. Z., Tsuji, T. & Hattori, Y.
2009
Direct numerical simulation for a time-developing natural-convection boundary layer along a vertical flat plate. Intl J. Heat Mass Transfer
52 (19-20), 4525–4534.10.1016/j.ijheatmasstransfer.2009.03.061

Aberra, T., Armfield, S. W., Behnia, M. & McBain, G. D.
2012
Boundary layer instability of the natural convection flow on a uniformly heated vertical plate. Intl J. Heat Mass Transfer
55 (21-22), 6097–6108.10.1016/j.ijheatmasstransfer.2012.06.023

Armfield, S. W. & Patterson, J. C.
1992
Wave properties of natural-convection boundary layers. J. Fluid Mech.
239, 195–211.10.1017/S0022112092004373

Brooker, A. M. H., Patterson, J. C., Graham, T. & Schöpf, W.
2000
Convective instability in a time-dependent buoyancy driven boundary layer. Intl J. Heat Mass Transfer
43 (2), 297–310.10.1016/S0017-9310(99)00127-1

Dring, R. P. & Gebhart, B.
1968
A theoretical investigation of disturbance amplification in external laminar natural convection. J. Fluid Mech.
34 (3), 551–564.10.1017/S0022112068002077

Dring, R. P. & Gebhart, B.
1969
An experimental investigation of disturbance amplification in external laminar natural convection flow. J. Fluid Mech.
36 (3), 447–464.10.1017/S0022112069001753

Eckert, E. R. G.
1951
Interferometric studies on the stability and transition to turbulence of a free convection boundary layer. In Proceedings of the General Discussion on Heat Transfer, pp. 321–323. Institute of Mechanical Engineers.

Eckert, E. R. G., Soehngen, E. & Schneider, F. J.
1955
Studien zum Umschlag laminar-turbulent der freien Konvektions-Strömung an einer senkrechten Platte. In Anniversary volume Fünfzig Jahre Grenzschichtforschung, pp. 407–418. Vieweg+Teubner Verlag.10.1007/978-3-663-20219-6_38

Gebhart, B. & Mahajan, R. L.
1982
Instability and transition in buoyancy-induced flows. In Adv. Appl. Mech., vol. 22, pp. 231–315. Elsevier.

Gill, A. E. & Davey, A.
1969
Instabilities of a buoyancy-driven system. J. Fluid Mech.
35 (4), 775–798.10.1017/S0022112069001431

Goldstein, R. J. & Briggs, D. G.
1964
Transient free convection about vertical plates and circular cylinders. Trans. ASME J. Heat Transfer
86 (4), 490–500.10.1115/1.3688728

Hieber, C. A. & Gebhart, B.
1971
Stability of vertical natural convection boundary layers: some numerical solutions. J. Fluid Mech.
48 (4), 625–646.10.1017/S0022112071001770

Illingworth, C. R.
1950
Unsteady laminar flow of gas near an infinite flat plate. In Math. Proc. Camb. Philos. Soc., vol. 46, pp. 603–613. Cambridge University Press.

Janssen, R. & Armfield, S. W.
1996
Stability properties of the vertical boundary layers in differentially heated cavities. Intl J. Heat Fluid Flow
17 (6), 547–556.10.1016/S0142-727X(96)00077-X

Joshi, Y. & Gebhart, B.
1987
Transition of transient vertical natural-convection flows in water. J. Fluid Mech.
179, 407–438.10.1017/S0022112087001599

Knowles, C. P. & Gebhart, B.
1968
The stability of the laminar natural convection boundary layer. J. Fluid Mech.
34 (4), 657–686.10.1017/S0022112068002156

Krane, M. J. M. & Gebhart, B.
1993
The hydrodynamic stability of a one-dimensional transient buoyancy-induced flow. Intl J. Heat Mass Transfer
36 (4), 977–988.10.1016/S0017-9310(05)80282-0

Kurtz, E. F.1961 A study of the stability of laminar parallel flows. PhD thesis, Massachusetts Institute of Technology, Cambridge, MA.

Kurtz, E. F. & Crandall, S. H.
1962
Computer-aided analysis of hydrodynamic stability. J. Math. Phys.
41 (1–4), 264–279.10.1002/sapm1962411264

Mahajan, R. L. & Gebhart, B.
1979
An experimental determination of transition limits in a vertical natural convection flow adjacent to a surface. J. Fluid Mech.
91 (1), 131–154.10.1017/S0022112079000070

McBain, G. D., Armfield, S. W. & Desrayaud, G.
2007
Instability of the buoyancy layer on an evenly heated vertical wall. J. Fluid Mech.
587, 453–469.10.1017/S0022112007007318

Morkovin, M. V.
1969
On the many faces of transition. In Viscous Drag Reduction, pp. 1–31. Springer.

Nachtsheim, P. R.1963 Stability of free-convection boundary-layer flows. *NASA Tech. Note* D-2089. NASA.

Nakao, K., Hattori, Y. & Suto, H.
2017
Numerical investigation of a spatially developing turbulent natural convection boundary layer along a vertical heated plate. Intl J. Heat Fluid Flow
63, 128–138.10.1016/j.ijheatfluidflow.2016.09.006

Ostrach, S.1952 An analysis of laminar free-convection flow and heat transfer about a flat plate parallel to the direction of the generating body force. *NACA Tech. Rep.* 1111.

Otto, S. R.1993 On the stability of a time dependent boundary layer. *NASA Tech. Note* CR-191542.

Patterson, J. C. & Imberger, J.
1980
Unsteady natural convection in a rectangular cavity. J. Fluid Mech.
100 (1), 65–86.10.1017/S0022112080001012

Plapp, J. E.1957 I. laminar boundary layer stability in free convection. PhD thesis, California Institute of Technology, Pasadena, CA.

Polymeropoulos, C. E. & Gebhart, B.
1967
Incipient instability in free convection laminar boundary layers. J. Fluid Mech.
30 (2), 225–239.10.1017/S0022112067001405

Qureshi, Z. H. & Gebhart, B.
1978
Transition and transport in a buoyancy driven flow in water adjacent to a vertical uniform flux surface. Intl J. Heat Mass Transfer
21 (12), 1467–1479.10.1016/0017-9310(78)90003-0

Reed, H. L., Saric, W. S. & Arnal, D.
1996
Linear stability theory applied to boundary layers. Annu. Rev. Fluid Mech.
28 (1), 389–428.10.1146/annurev.fl.28.010196.002133

Saric, W. S., Reed, H. L. & Kerschen, E. J.
2002
Boundary-layer receptivity to freestream disturbances. Annu. Rev. Fluid Mech.
34 (1), 291–319.10.1146/annurev.fluid.34.082701.161921

Schetz, J. A. & Eichhorn, R.
1962
Unsteady natural convection in the vicinity of a doubly infinite vertical plate. J. Heat Transfer
84 (4), 334–338.10.1115/1.3684386

Shen, S. F.
1961
Some considerations on the laminar stability of time-dependent basic flows. J. Aero. Sci.
28 (5), 397–404.

Squire, H. B.
1933
On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls. Proc. R. Soc. Lond. A
142 (847), 621–628.10.1098/rspa.1933.0193

Szewczyk, A. A.
1962
Stability and transition of the free-convection layer along a vertical flat plate. Intl J. Heat Mass Transfer
5 (10), 903–914.10.1016/0017-9310(62)90071-6

Williamson, N., Armfield, S. W. & Kirkpatrick, M. P.
2012
Transition to oscillatory flow in a differentially heated cavity with a conducting partition. J. Fluid Mech.
693, 93–114.10.1017/jfm.2011.471

Williamson, N., Armfield, S. W., Lin, W. & Kirkpatrick, M. P.
2016
Stability and Nusselt number scaling for inclined differentially heated cavity flow. Intl J. Heat Mass Transfer
97, 787–793.10.1016/j.ijheatmasstransfer.2016.02.053

Wu, X. & Cowley, S. J.
1995
On the nonlinear evolution of instability modes in unsteady shear layers: the Stokes layer as a paradigm. Q. J. Mech. Appl. Math.
48 (2), 159–188.10.1093/qjmam/48.2.159

Xin, S. & Le Quéré, P.
2001
Linear stability analyses of natural convection flows in a differentially heated square cavity with conducting horizontal walls. Phys. Fluids
13 (9), 2529–2542.10.1063/1.1388054

Xin, S. & Le Quéré, P.
2012
Stability of two-dimensional (2D) natural convection flows in air-filled differentially heated cavities: 2D/3D disturbances. Fluid Dyn. Res.
44 (3), 031419.

Zhao, Y., Lei, C. & Patterson, J. C.
2017
The k-type and h-type transitions of natural convection boundary layers. J. Fluid Mech.
824, 352–387.10.1017/jfm.2017.354