title: Rayleigh-Bénard convection with two-frequency temperature modulation.
abstract: The response of Rayleigh-Bénard convection in a horizontal fluid layer to time-periodic heating of its horizontal boundaries with a mixture of two frequencies is analyzed numerically. The ratio of the two forcing frequencies and the mixing angle of the amplitudes of modulation provide a control on the instability of the system. In addition to the existence of well-known harmonic and subharmonic instability responses under modulation, the time-periodic oscillation of the boundary temperatures of the fluid-layer with two frequencies results in more bicritical states in comparison to the single-frequency excitation. The onset of instability depends strongly on the modulation parameters and the Prandtl number of the fluid.
authors.affiliation: Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, Punjab, India.
authors.forename: Puneet
authors.initials: P
authors.lastname: Kaur
authors.affiliation: Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, Punjab, India.
authors.forename: Jitender
authors.initials: J
authors.lastname: Singh
authors.affiliation: Department of Mathematics, Panjab University, Chandigarh-160014, India.
authors.forename: Renu
authors.initials: R
authors.lastname: Bajaj