Triple diffusive convection in Oldroyd-B liquid

Tarannum, Sameena; Pranesh, S.

doi:10.9790/5728-1204010713

Cited by 6 publications

(3 citation statements)

References 11 publications

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“…Bernard started the convective process experiments after that carried out by Rayleigh [26]. Triple diffusive free convection [27] develops when a fluid is applied to three density gradients with different diffusion rates. In this study, the triple diffusion is formulated by the diffusion of heat and species concentrations, a linear stability analysis for triple diffusive convection in Oldroyd-B fluid is carried out, and the expression of Rayleigh number for stationary and oscillatory convection is achieved [28].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation

et al. 2022

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This analysis is interested in the dynamic flow of incompressible triple diffusive fluid flowing through a linear stretched surface. The current study simulates when Boussinesq approximation and MHD are significant. As for originality, a comparative study of all the results for opposing and assisting flow cases is provided. Lie-group transformation is utilized to determine symmetry depletions of partial differential equations. The transformed system of ordinary differential equations is solved using the Runge-Kutta shooting technique. The impacts of magnetic parameter, buoyancy ratio parameter of temperature and concentration, and Lewis number on velocity, temperature, and concentration are depicted through graphs. We observed that the magnetic field parameter decelerates in velocity distribution for both fluid flow cases. Additionally, the same phenomenon was noticed with the buoyancy ratio parameters on both salt concentration distributions. Finally, the influence of heat and mass transfer rates decreases for both fluid flow cases with an increase in Lewis number.

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Section: Introductionmentioning

confidence: 99%

Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation

et al. 2022

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“…4 Studies pertaining to triple diffusive convection were later studied by the researchers. [5][6][7][8][9][10][11][12] Triple diffusion is seen in the study of the photosphere of the sun, in the earth's mantle, in soil sciences, and so forth. The diffusion of multiple agents such as heat and solute concentration leads to an evolution of a geological phenomenon known as terrestrial magmas.…”

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confidence: 99%

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

2021

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The influence of sinusoidal (trigonometric cosine [TC]) and nonsinusoidal waveforms (square, sawtooth, and triangular) of internal heat source modulation on triple diffusive convection in viscoelastic liquids is investigated. An Oldroyd-B type model is taken into account for viscoelastic liquids. Nonlinear analysis is carried out using a truncated representation of the Fourier series. To analyze the heat and mass transfer over a triply diffusive liquid layer, expressions for average Nusselt and average Sherwood numbers are derived using 8-mode generalized Lorenz equations. The transient behavior of Nusselt and Sherwood numbers is analyzed on different parameters of the problem. From the results, it is found that the internal heat source enhances the heat transfer and diminishes the mass transfer while the heat sink diminishes the heat transfer and enhances the mass transfer. The results for respective waveforms are obtained for each parameter and it is found that the maximum heat and mass transfer occurs due to TC waveform. The limiting cases of viscoelastic liquids (Newtonian, Oldroyd-B, Maxwell, and Rivlin-Ericksen) have been tabulated and corresponding results for each of the waveforms on heat and mass transfer have been shown.

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“…Vivek Kumar and Mukesh Kumar Awasthi [12] have considered the problem of triple-diffusive convection in a horizontal nanofluid layer heated and salted from below using linear stability theory and normal mode technique. A linear stability analysis is carried out for triple diffusive convection in Oldroyd-B liquid and rotating couple stress liquid by Sameena Tarannum and Pranesh [13] [14].…”

Section: Introductionmentioning

confidence: 99%

Effects of Non-Uniform Temperature Gradients on Triple Diffusive Marangoni Convection in a Composite Layer

Manjunatha¹,

Sumithra²

2019

OJAppS

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The problem of triple diffusive Marangoni convection is investigated in a composite layer comprising an incompressible three component fluid saturated, sparsely packed porous layer over which lies a layer of the same fluid. The lower rigid surface of the porous layer and the upper free surface are considered to be insulating to temperature, insulating to both salute concentration perturbations. At the upper free surface, the surface tension effects depending on temperature and salinities are considered. At the interface, the normal and tangential components of velocity, heat and heat flux, mass and mass flux are assumed to be continuous. The resulting eigenvalue problem is solved exactly for linear, parabolic and inverted parabolic temperature profiles and analytical expressions of the thermal Marangoni number are obtained. The effects of variation of different physical parameters on the thermal Marangoni numbers for the profiles are compared.

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Triple diffusive convection in Oldroyd-B liquid

Cited by 6 publications

References 11 publications

Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation

Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

Effects of Non-Uniform Temperature Gradients on Triple Diffusive Marangoni Convection in a Composite Layer

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