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Individual effects of four types of rotation modulation on Rayleigh–Bénard convection in a ferromagnetic fluid with couple stress
The effect of trigonometric sine, square, triangular, and sawtooth wave types of rotation modulation on Rayleigh–Bénard convection in a ferromagnetic fluid with couple stress is investigated in this paper using linear and nonlinear analyses. The expression for the critical Rayleigh number and the correction Rayleigh number is deduced from the three‐mode linearized Lorenz model using the Venezian approach. The effect of rotation modulation on heat transport is studied using the generalized fifth‐order Lorenz model. The study reveals that the Taylor number stabilizes the no‐modulation system and decreases the heat transport, and this situation remains so in the presence of rotation modulation. It is found that the effect of all four types of modulation is to stabilize the system and diminish heat transport. It is also observed that the sawtooth wave type of modulation has the least diminishing effect on heat transport and the square wave type of modulation diminishes the most.
Individual effects of four types of rotation modulation on Rayleigh–Bénard convection in a ferromagnetic fluid with couple stress
The effect of trigonometric sine, square, triangular, and sawtooth wave types of rotation modulation on Rayleigh–Bénard convection in a ferromagnetic fluid with couple stress is investigated in this paper using linear and nonlinear analyses. The expression for the critical Rayleigh number and the correction Rayleigh number is deduced from the three‐mode linearized Lorenz model using the Venezian approach. The effect of rotation modulation on heat transport is studied using the generalized fifth‐order Lorenz model. The study reveals that the Taylor number stabilizes the no‐modulation system and decreases the heat transport, and this situation remains so in the presence of rotation modulation. It is found that the effect of all four types of modulation is to stabilize the system and diminish heat transport. It is also observed that the sawtooth wave type of modulation has the least diminishing effect on heat transport and the square wave type of modulation diminishes the most.
Individual effects of four types of rotation modulation on Rayleigh–Bénard convection in a ferromagnetic fluid with couple stress
Meghana, J. (author) / Pranesh, S. (author)
Heat Transfer ; 50 ; 6795-6815
2021-11-01
21 pages
Article (Journal)
Electronic Resource
English
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