Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source

Matta, Anjanna; Hill, Antony A.

doi:10.1007/s00161-017-0592-8

Cited by 14 publications

(10 citation statements)

References 23 publications

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“…The linear stability characteristics of the basic steady state given by Equations (18) and (19) may be investigated by setting,…”

Section: Reduction To Ode Eigenvalue Formmentioning

confidence: 99%

“…The reason for this behaviour is related to the overall basic flow pattern and specifically to the location of the disturbance within the layer. Using Equation (18) we see that…”

Section: Reduction To Ode Eigenvalue Formmentioning

confidence: 99%

“…Nield and Kuznetsov [15] considered different types of nonuniform internal heating profiles, while Nield and Kuznetsov [16] and Kuznetsov and Nield [17] studied the effects of inhomogeneity in the structure of the porous medium itself. Matta and Hill [18], on the other hand, considered an equivalent double-diffusive configuration where the heat source depends on the solutal concentration. Nouri-Borujerdi et al [13] considered the equivalent Darcy-Brinkman case and the critical Darcy-Rayleigh number was found to rise as the Darcy number increases.…”

Section: Introductionmentioning

confidence: 99%

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Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation

Storesletten

Rees

2019

Fluids

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The onset of convection in an inclined porous layer which is heated internally by a uniform distribution of heat sources is considered. We investigate the combined effects of inclination, anisotropy and internal heat generation on the linear instability of the basic parallel flow. When the Rayleigh number is sufficiently large, instability occurs and a convective motion is set up. It turns out that the preferred motion at convection onset depends quite strongly on the anisotropy ratio, ξ , and the inclination angle. When ξ < 1 the preferred motion is in the form of longitudinal rolls for all inclinations. When ξ > 1 transverse rolls are preferred for small inclinations but, at high inclinations, longitudinal rolls are preferred. At intermediate inclinations the preferred roll orientation varies smoothly between these two extremes.

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“…The linear stability characteristics of the basic steady state given by Equations (18) and (19) may be investigated by setting,…”

Section: Reduction To Ode Eigenvalue Formmentioning

confidence: 99%

“…The reason for this behaviour is related to the overall basic flow pattern and specifically to the location of the disturbance within the layer. Using Equation (18) we see that…”

Section: Reduction To Ode Eigenvalue Formmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation

Storesletten

Rees

2019

Fluids

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“…Although several authors have investigated the instability in an inclined mono-diffusive porous layer using linear and nonlinear theories, as discussed above, only recently, Matta & Hill [32] performed a linear instability analysis of double-diffusive convection in an inclined porous layer where concentration and temperature have destabilizing and stabilizing influences, respectively. Thus, in the configuration considered by Matta & Hill [32], it is difficult to predict whether the instability observed is solely due to the double-diffusive convection or due to the combined effect of the double-diffusive convection and the imposed unstable stratification of the solute.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear thermosolutal instabilities in an inclined porous layer

2020

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We investigate the double-diffusive instability in an inclined porous layer with a concentrationbased internal heat source by conducting linear instability and nonlinear energy analyses. The effects of different dimensionless parameters, such as the thermal (Ra T ) and solutal (Ra S ) Rayleigh numbers, the angle of inclination (φ), the Lewis number (Le) and the concentration-based internal heat source (Q) are examined. A comparison between the linear and nonlinear thresholds for the longitudinal and transverse rolls provides the region of subcritical instability. We found that the system becomes more unstable when the thermal diffusivity is greater than the solute and the internal heat source strength increases. It is observed that the system is stabilized by increasing the angle of inclination. While the longitudinal roll remains stationary without the region of subcritical instability, as the angle of inclination increases, the transverse roll switches from stationary-oscillatory-stationary mode. Our numerical results show that for Ra S < 0, for all Q values, the subcritical instability only exists for transverse rolls. For Ra S ≥ 0, however, the subcritical instability appears only for Q = 0 and Q ≥ 0, respectively, for longitudinal and transverse rolls.

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“…Nonlinear stability analysis of double-diffusive convection in a horizontal fluid saturated porous layer has been investigated (Deepika et al, 2016). Matta (2017) studied the thermal swell instability of oblique fluid double-diffusion convection in saturated porous layers. Xu (2016) studied the heat and mass transfer convection of a mass-containing heat source in a cavity with different exit locations.…”

Section: Introductionmentioning

confidence: 99%

Study on Heat and Mass Transfer With Heat and Mass and Nonlinear Characteristics Source in Cavity

Li¹,

Yang²,

Li³

et al. 2019

Frontiers in Heat and Mass Transfer

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Thermalsolutal convection induced by mass and heat source in horizontal cavity is investigated numerically based on SIMPLE algorithm with QUICK scheme. The high-concentration heat source is placed in the square cavity, and the cavity wall is low temperature and low concentration. The smoke is used as the diffusion medium, and the flow field, temperature and concentration of the fluid under different Rayleigh number, buoyancy ratio Nc, Soret numbers and Dufour numbers are analyzed systematically. Parameter study demonstrates that heat and mass transfer of thermosolutal convection are enhanced with increasing Rayleigh number or buoyancy ratio, and the couple-diffusive interaction has a significant linear effect on heat transfer and mass diffusion. The results also show that double-diffusive convection evolves from steady state, periodic oscillatory, double-period oscillation to chaos. Critical Rayleigh number of period oscillations and chaos declined with increasing buoyance ratio.

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Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source

Cited by 14 publications

References 23 publications

Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation

Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation

Linear and nonlinear thermosolutal instabilities in an inclined porous layer

Study on Heat and Mass Transfer With Heat and Mass and Nonlinear Characteristics Source in Cavity

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