Analytical study of weakly nonlinear mass transfer in rotating fluid layer under time-periodic concentration/gravity modulation

Gupta, Vinod K.; Kumar, Anand; Singh, Ajaib

doi:10.1016/j.ijnonlinmec.2017.07.013

Cited by 19 publications

(19 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From Fig. 4(d), we found that increasing value of Schmidt number (Sc) increases the rate of mass transport and hence Sc destabilizes the system, a similar result were found by Gupta et al [41].…”

Section: Resultssupporting

confidence: 86%

“…1(a) and 1(b), we have shown the e ect of amplitude of concentration modulation (δ ) and frequency of concentration modulation (ω) respectively on Sherwood number (Sh). We can see from the Fig.1(a) and 1(b) that on increasing the value of δ and ω, the value of Sh does not change, it means that amplitude of modulation (δ ) and frequency of modulation (ω) has negligible e ect on mass transport, which is a similar result obtained by Gupta et al [41] and Gupta [42] for frequency of modulation and amplitude of modulation in case of in-phase concentration modulation. From Fig.1(c) and 1(d), we examine the e ect of Hartmann number (Ha) and Schmidt number (Sc) on Sherwood number (Sh) respectively.…”

Section: Resultssupporting

confidence: 80%

“…We observe that on the increase the value of an amplitude of concentration modulation (δ ) increases the value of Sherwood number (Sh), which indicates that di usion occurs and hence the rate of mass transfer increases. It means that e ect of an amplitude of modulation on mass transport is destabilizing, a similar result investigated by Gupta et al [41] for out phase concentration modulation. E ect of frequency of concentration modulation (ω) on the system is stabilizing (see g.2(b)) as mass transport decreases on increasing the value of the frequency of concentration modulation.…”

Section: Resultssupporting

confidence: 68%

“…A uniform magnetic eld of strength B is applied perpendicular to both the plates. Under these assumptions the governing equations can be written as (Gupta et al [39], Gupta et al [41] and Wheeler et al [45]):…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Swamy [40] have examined the e ect of gravity modulation on dielectric uid. Recently, Gupta et al [41] and Gupta [42] presented the weakly nonlinear study of mass transport in a rotating uid layer in presence of concentration modulation.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Study of Weakly nonlinear Mass transport in Newtonian Fluid with Applied Magnetic Field under Concentration/Gravity modulation

Keshri

Gupta

Kumar

2019

Nonlinear Engineering

Self Cite

View full text Add to dashboard Cite

In the present paper, a weakly nonlinear stability analysis is used to analyze the effect of time-periodic concentration/gravity modulation on mass transport. We have considered an infinite horizontal fluid layer with constant appliedmagnetic flux salted from above, subjected to an imposed time-periodic boundary concentration (ITBC) or gravity modulation (ITGM). In the case of ITBC, the concentration gradient between the plates of the fluid layer consists of a steady part and a time-dependent oscillatory part. The concentration of both walls is modulated. In the case of ITGM, the gravity fleld consists of two parts: a constant part and an externally imposed time periodic part, which can be realized by oscillating the fluid layer. We have expanded the infinitesimal disturbances in terms of power series of an amplitude of modulation, which is assumed to be small. Ginzburg-Landau equation is derived for dinding the rate of mass transfer. Effect of various parameters on the mass transport is also discussed. It is found that the mass transport can be controlled by suitably adjusting the frequency and amplitude of modulation.

show abstract

Section: Resultssupporting

confidence: 86%

Section: Resultssupporting

confidence: 80%

Section: Resultssupporting

confidence: 68%

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Study of Weakly nonlinear Mass transport in Newtonian Fluid with Applied Magnetic Field under Concentration/Gravity modulation

Keshri

Gupta

Kumar

2019

Nonlinear Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

On trigonometric cosine, square, sawtooth, and triangular wave‐type rotational modulations on triple‐diffusive convection in salted water

et al. 2021

View full text Add to dashboard Cite

show abstract

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

View full text Add to dashboard Cite

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-

show abstract

Analytical study of weakly nonlinear mass transfer in rotating fluid layer under time-periodic concentration/gravity modulation

Cited by 19 publications

References 28 publications

Study of Weakly nonlinear Mass transport in Newtonian Fluid with Applied Magnetic Field under Concentration/Gravity modulation

Study of Weakly nonlinear Mass transport in Newtonian Fluid with Applied Magnetic Field under Concentration/Gravity modulation

On trigonometric cosine, square, sawtooth, and triangular wave‐type rotational modulations on triple‐diffusive convection in salted water

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

Contact Info

Product

Resources

About