A numerical study of heat and mass transfer in a Darcy porous medium saturated with a couple stress fluid under rotational modulation

Rudziva, Munyaradzi; Sibanda, Precious; Noreldin, Osman; Goqo, Sicelo P.

doi:10.1016/j.apm.2021.12.004

Cited by 10 publications

(2 citation statements)

References 32 publications

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“…The effect of modulating the rotation plays important role in the heat and mass transport concepts. In their recent study, Rudziva et al 45 investigated only sinusoidal rotational modulation on Darcy porous medium saturated with a couple stress fluid. They did not consider the effects of non‐sinusoidal rotational modulation on magnetoconvection.…”

Section: Introductionmentioning

confidence: 99%

A numerical study of heat and mass transport by double‐diffusive magnetoconvection in an electrically conducting fluid under sinusoidal/non‐sinusoidal rotational modulation

et al. 2022

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In this paper, we study the effects of rotational modulation on heat and mass transport due to double-diffusive magnetoconvection in an electrically conducting fluid. In the study, different modes of rotational modulation are considered. Using a perturbation method, a Ginzburg-Landau equation which is nonautonomous is obtained for the modulation amplitude. The effect of rotational modulation on the heat and mass transfer is studied. For the investigation of the effect of buoyancy ratio on the onset of convection, the system of Lorenz type equations is solved using the recent multistage spectral relaxation method. Further-

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Section: Introductionmentioning

confidence: 99%

A numerical study of heat and mass transport by double‐diffusive magnetoconvection in an electrically conducting fluid under sinusoidal/non‐sinusoidal rotational modulation

et al. 2022

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“…Oscillatory convection in viscoelastic fluid study was also made by several other researchers in porous medium [29–38].…”

Section: Introductionmentioning

confidence: 95%

Combined effect of helical force and rotation on the double convection of a binary viscoelastic fluid in a porous medium: Linear and weakly nonlinear analysis

Kpossa

Monwanou

2023

Z Angew Math Mech

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We used linear stability theory based on the normal mode decomposition technique and nonlinear stability theory based on the minimum representation of double Fourier series to study the criterion of appearance of the stationary convection and the oscillatory convection; and the rate of heat and mass transfer in a binary viscoelastic fluid mixture in a rotating porous medium under the effect of helical force. We have determined the analytical expression of the Rayleigh number of the system as a function of the dimensionless parameters. Expressions for heat and mass transfer rates are determined as a function of Nusselt and Sherwood number, respectively. The transient behaviors of the Nusselt number and the Sherwood number are studied by solving the finite amplitude equations using the Runge‐Kutta method. Then, the effect of each dimensionless parameter on the system is studied pointed out interesting results. According to the analysis of the different results obtained, it appears that in a porous medium saturated by a binary mixture of viscoelastic fluid in rotation, the Taylor‐Darcy number TaD$Ta_D$, the delay time parameter λ2 and the mass Rayleigh‐Darcy number RaCD$Ra_{CD}$ delay the onset of stationary and oscillatory convection. On the other hand, the helical force SD$S_{D}$, the relaxation time parameter λ1, the ratio of diffusivities τ and the number of Vadasz Va$Va$ accelerate the onset of stationary and oscillatory convection. In the case of the nonlinear stability study, at steady state, the helical force SD$S_{D}$ accelerates the rate of heat and mass transfer. On the other hand, the Taylor‐Darcy number TaD$Ta_D$, the diffusivity ratio τ and the mass Rayleigh‐Darcy number RaCD$Ra_{CD}$ retard the rate of heat and mass transfer. In the unsteady state, the helical force SD$S_{D}$, the relaxation time parameter λ1 and the mass Rayleigh‐Darcy number RaCD$Ra_{CD}$ accelerate the rate of heat and mass transfer. This is not the case for the Taylor‐Darcy number TaD$Ta_D$ and the delay time parameter λ2.

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Trigonometric Cosine, Square, Sawtooth and Triangular Waveforms of Internal Heating Modulations for Three-Component Convection in a Couple Stress Liquid: A Detailed Analysis

Arshika

Tarannum

2022

Int. J. Appl. Comput. Math

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A numerical study of heat and mass transfer in a Darcy porous medium saturated with a couple stress fluid under rotational modulation

Cited by 10 publications

References 32 publications

A numerical study of heat and mass transport by double‐diffusive magnetoconvection in an electrically conducting fluid under sinusoidal/non‐sinusoidal rotational modulation

A numerical study of heat and mass transport by double‐diffusive magnetoconvection in an electrically conducting fluid under sinusoidal/non‐sinusoidal rotational modulation

Combined effect of helical force and rotation on the double convection of a binary viscoelastic fluid in a porous medium: Linear and weakly nonlinear analysis

Trigonometric Cosine, Square, Sawtooth and Triangular Waveforms of Internal Heating Modulations for Three-Component Convection in a Couple Stress Liquid: A Detailed Analysis

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