Nonlinear rotating viscoelastic liquid convection with temperature modulation

In this study, heat transport in thermal convection of rotating viscoelastic liquids heated from below with temperature modulation is analyzed. The study is performed using Fourier series with a minimal representation. The constitutive relationship of the Oldroyd liquid B model is taken into consideration. The resulting Khayat-Lorenz model in the generalized form is solved using the numerical technique of Runge-Kutta-Fehlberg 45 with the adaptive grid method, and this solution is used to quantify the heat transport. The combined effect of the temperature modulation and Coriolis force on the thermal convection is investigated for various values of the amplitude of modulation and Taylor number. It is shown that the temperature modulation and Coriolis force lead to the enhancement of heat transport. As particular cases, the results of three liquids, namely Maxwell, Newtonian, and Rivlin-Ericksen, are obtained in the current study, which are found to have a good agreement with the available results.