Vial, M. and Hernández, R. H. 2017. Feedback control and heat transfer measurements in a Rayleigh-Bénard convection cell. Physics of Fluids, Vol. 29, Issue. 7, p. 074103.
Fujimura, Kaoru and Tsunoda, Shuhei 2017. Hopf/steady-state mode interaction in a vertical slot—Effect of 1:4 resonance. Physics of Fluids, Vol. 29, Issue. 8, p. 084103.
Lappa, Marcello 2017. On the multiplicity and symmetry of particle attractors in confined non-isothermal fluids subjected to inclined vibrations. International Journal of Multiphase Flow, Vol. 93, p. 71.
Cao, Yuhui and Zhang, Yu 2017. Investigation on the natural convection in horizontal concentric annulus using the variable property-based lattice Boltzmann flux solver. International Journal of Heat and Mass Transfer, Vol. 111, p. 1260.
Falsaperla, Paolo Giacobbe, Andrea Lombardo, Sebastiano and Mulone, Giuseppe 2017. Stability of hydromagnetic laminar flows in an inclined heated layer. Ricerche di Matematica, Vol. 66, Issue. 1, p. 125.
Shankar, B.M. Kumar, Jai and Shivakumara, I.S. 2016. Stability of natural convection in a vertical dielectric couple stress fluid layer in the presence of a horizontal AC electric field. Applied Mathematical Modelling, Vol. 40, Issue. 9-10, p. 5462.
Cao, Yuhui 2016. Variable property-based lattice Boltzmann flux solver for thermal flows in the low Mach number limit. International Journal of Heat and Mass Transfer, Vol. 103, p. 254.
Subramanian, Priya Brausch, Oliver Daniels, Karen E. Bodenschatz, Eberhard Schneider, Tobias M. and Pesch, Werner 2016. Spatio-temporal patterns in inclined layer convection. Journal of Fluid Mechanics, Vol. 794, p. 719.
Falsaperla, Paolo Mulone, Giuseppe and Straughan, Brian 2016. Bidispersive-inclined convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Vol. 472, Issue. 2192, p. 20160480.
Dai, Albert 2015. On the instability of a buoyancy-driven downflow. Dynamics of Atmospheres and Oceans, Vol. 71, p. 98.
Torres, Juan F. Henry, Daniel Komiya, Atsuki and Maruyama, Shigenao 2015. Transition from multiplicity to singularity of steady natural convection in a tilted cubical enclosure. Physical Review E, Vol. 92, Issue. 2,
Matveenko, V.P. 2014. Stability of the stationary plane-parallel flow of pseudoplastic fluids in a plane vertical layer. Computational Continuum Mechanics, Vol. 7, Issue. 3, p. 270.
Qiang, Wei and Cao, Hui 2014. Flow patterns in inclined-layer turbulent convection. The European Physical Journal E, Vol. 37, Issue. 7,
Dou, Hua-Shu Jiang, Gang and Lei, Chengwang 2013. Numerical Simulation and Stability Study of Natural Convection in an Inclined Rectangular Cavity. Mathematical Problems in Engineering, Vol. 2013, p. 1.
Saravanan, S. and Sivakumar, T. 2011. Thermovibrational Instability in a Fluid Saturated Anisotropic Porous Medium. Journal of Heat Transfer, Vol. 133, Issue. 5, p. 051601.
Simitev, Radostin D. 2011. Double-diffusive convection in a rotating cylindrical annulus with conical caps. Physics of the Earth and Planetary Interiors, Vol. 186, Issue. 3-4, p. 183.
Saha, Suvash C. Patterson, John C. and Lei, Chengwang 2011. Scaling of Natural Convection of an Inclined Flat Plate: Sudden Cooling Condition. Journal of Heat Transfer, Vol. 133, Issue. 4, p. 041503.
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Zebib, Abdelfattah 2008. Stability of ternary and binary mixtures in a vertical slot including the Soret effect. The Journal of Chemical Physics, Vol. 129, Issue. 13, p. 134711.
The stability of the buoyancy-driven parallel shear flow of a variable-viscosity Newtonian fluid between vertical or inclined plates maintained at different temperatures is studied theoretically. The analysis is capable of dealing with arbitrary viscosity-temperature relations. Depending on the Prandtl number, angle of inclination, and form of the viscosity-temperature variation, the flow may become unstable with respect to two-dimensional longitudinal or transverse disturbances. Outstanding questions arising in previous investigations of the stability of parallel free-convection flows of constant-viscosity fluids in inclined slots and of variable-viscosity fluids in vertical slots are discussed. We find that, in a variable-viscosity fluid, non-monotonic dependence of the critical Rayleigh number on the inclination angle can occur at significantly higher Prandtl numbers than is possible in the constant-viscosity case. Results are also presented for the stability of the free-convection flow of several glycerol-water solutions in an inclined slot.
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