Effects of Non-uniform Temperature Gradients on Triple Diffusive Surface Tension Driven Magneto Convection in a Composite Layer

Manjunatha, N.; Sumithra, R.

doi:10.13189/ujme.2019.070611

Cited by 7 publications

(2 citation statements)

References 11 publications

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“…Using equation (11) in equations ( 3) to (10) we get the zero order differential equation in a 2 as in region-1,…”

Section: Solution By Regular Perturbation Techniquementioning

confidence: 99%

“…They have also measured heat and mass transfer based on the Nusselt number and discussed the influence of various physical parameters in detail. Manjunatha and Sumithra [10] have investigated triple diffusive magneto-convection in a composite system for three temperature profiles. Mukesh Kumar Awasthi et al [11], analyzed a Maxwell fluid saturated porous layer for the onset of triple diffusive convection subjecting to a linear stability study in the presence of an internal heat source, and it was discovered that Lewis number has a destabiliing effect and solute Rayleigh number has a stabilizing effect.…”

Section: Introductionmentioning

confidence: 99%

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Triple diffusive magneto convection in a fluid-porous composite system

Sumithra¹,

Komala²,

Manjunatha³

2023

Math. Model. Comput.

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A study on triple diffusive magneto convection is made for a fluid – porous composite system with rigid-rigid boundaries insulated to temperature and concentration. The porous layer of the composite system is modeled using Darcy–Brinkman model. The method of regular perturbation approach is employed to find the eigen-value for the problem considered. The critical Rayleigh number as criterion for the onset of convection is derived for step function, salting below and desalting above salinity profiles. The effect of various physical parameter on the onset of convection is graphically depicted and the stability of the system is analyzed.

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“…Using equation (11) in equations ( 3) to (10) we get the zero order differential equation in a 2 as in region-1,…”

Section: Solution By Regular Perturbation Techniquementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Triple diffusive magneto convection in a fluid-porous composite system

Sumithra¹,

Komala²,

Manjunatha³

2023

Math. Model. Comput.

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Triple diffusive Marangoni convection in a fluid-porous structure: Effects of a vertical magnetic field and temperature profiles

Yellamma

Manjunatha

Abdulrahman

et al. 2023

Case Studies in Thermal Engineering

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Roles and impacts of heat source/ sink and magnetic field on non-Darcy three-component Marangoni convection in a two-layer structure

Manjunatha

Yellamma

Sumithra³

et al. 2022

Int. J. Mod. Phys. B

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In this study, the non-Darcy Three-Component Marangoni (NDTCM) convection issue is investigated in closed form using a non-Darcy model for the porous layer with constant heat source/sink (HSS) and uniform vertical magnetic field in a two-layer system with a porous layer under a fluid layer. This two-layer construction has a rigid and adiabatic lower enclosure for the porous layer and a free adiabatic/isothermal upper enclosure for the liquid layer. The thermal Marangoni numbers (TMNs) for lower rigid and upper free boundaries with surface tension, depending on both temperature and concentrations, are determined in closed form for two cases of temperature boundary conditions (TBCs), Case (i) Adiabatic–Adiabatic and Case (ii) Adiabatic–Isothermal. The ordinary differential equations are solved by an exact method of solution to attain an analytical expression for the Marangoni number. The impacts of applicable factors are discussed elaborately versus thermal ratio and shown graphically using MATHEMATICA. It is noticed that case (i) TBC is stable as the eigenvalue obtained is higher than that for case (ii) TBC for the fluid layer dominant (FLD) two-layer systems.

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Effects of Non-uniform Temperature Gradients on Triple Diffusive Surface Tension Driven Magneto Convection in a Composite Layer

Cited by 7 publications

References 11 publications

Triple diffusive magneto convection in a fluid-porous composite system

Triple diffusive magneto convection in a fluid-porous composite system

Triple diffusive Marangoni convection in a fluid-porous structure: Effects of a vertical magnetic field and temperature profiles

Roles and impacts of heat source/ sink and magnetic field on non-Darcy three-component Marangoni convection in a two-layer structure

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