Bidispersive-inclined convection

Falsaperla, Paolo; Mulone, G.; Straughan, Brian

doi:10.1098/rspa.2016.0480

Cited by 38 publications

(38 citation statements)

References 24 publications

(35 reference statements)

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“…Equations for thermal convection in a bidispersive porous medium, with a single temperature, T , were derived by Falsaperla et al [33]. These authors deduced the equations by appealing to the general theory of Nield [2,3] and Nield and Kuznetsov [1].…”

Section: Equations Of Motionmentioning

confidence: 99%

“…These authors deduced the equations by appealing to the general theory of Nield [2,3] and Nield and Kuznetsov [1]. The equations of Falsaperla et al [33] have form…”

Section: Equations Of Motionmentioning

confidence: 99%

“…In these equations f and p refer to the macro and micro porous quantities, µ is the dynamic viscosity of the saturating fluid, K f and K p are permeabilities, U f i and U p i are fluid velocities, p f and p p are pressures, ζ is an interaction coefficient, g is gravity, α is the coefficient of thermal expansion of the fluid, ρ F is a reference temperature, T is the temperature of the fluid, (ρc) m and (ρc) f are the products of the density and specific heat at constant pressure with the m indicating an averaged value over the bidispersive porous medium while the f indicates the fluid itself, these quantities being defined precisely in Falsaperla et al [33]. Furthermore, κ m is the averaged thermal conductivity of the bidispersive porous medium defined in Falsaperla et al [33] and k = (0, 0, 1).…”

Section: Equations Of Motionmentioning

confidence: 99%

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Continuous dependence on modelling for temperature-dependent bidispersive flow

2017

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We consider a model for flow in a porous medium which has a double porosity structure. There is the usual porosity herein called macro porosity, but in addition, we allow for a porosity due to cracks or fissures in the solid skeleton. The cracks give rise to a micro porosity. The model considered also allows for temperature effects with a single temperature T . This paper analyses three aspects of structural stability. The first establishes continuous dependence of the solution on the interaction coefficient between the velocities associated with the macro and micro porosity. The second analyses continuous dependence on the viscosity coefficients, while the third establishes continuous dependence on the radiation constant when Newton’s law of cooling is involved on the boundary.

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Section: Equations Of Motionmentioning

confidence: 99%

“…These authors deduced the equations by appealing to the general theory of Nield [2,3] and Nield and Kuznetsov [1]. The equations of Falsaperla et al [33] have form…”

Section: Equations Of Motionmentioning

confidence: 99%

Section: Equations Of Motionmentioning

confidence: 99%

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Continuous dependence on modelling for temperature-dependent bidispersive flow

2017

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“…In terms of the components in the solid, macro and micro phases, (ρc) m and κ m are given by, see [18],…”

Section: Equations For Thermal Convectionmentioning

confidence: 99%

“…To achieve our results we use the one temperature model of Falsaperla et al [18] which is based on the full model of Nield and Kuznetsov [1].…”

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confidence: 99%

Bidispersive thermal convection

Gentile

Straughan

2017

International Journal of Heat and Mass Transfer

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Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Abstract We obtain the linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature. It is important to note that we show that the linear instability threshold is the same as the nonlinear stability one. This means that the linear theory is capturing completely the physics of the onset of thermal convection. This result contrasts with the general theory of thermal convection in a bidispersive porous material where the temperatures in the macropores and micropores are allowed be different. In that case the coincidence of the stability boundaries has not been proved.

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Effect of anisotropic permeability on double‐diffusive bidisperse porous medium

Saleh

Haddad

2020

Heat Trans

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The model of thermosolutal convection in a fluidsaturated bidisperse porous medium of Darcy type is studied in this paper. The permeability is allowed to be horizontally isotropic for both the macro-and microphases. The linear instability and nonlinear stability are analyzed by taking the Soret effect into account. Furthermore, the effect of anisotropy parameter, Soret coefficient, and other physical parameters on the stability of the system are investigated.It is shown that the linear instability boundaries and the energy stability boundaries do not coincide when the layer is heated and salted from below, where a region of potential subcritical instability occurs. The results reveal that the horizontal to vertical permeability ratio plays a crucial role in the stability of the system. It is also observed that for large values of the salt Rayleigh number, the onset of thermal convection is more likely to be via oscillatory convection rather than stationary convection. Furthermore, the onset of stationary convection is significantly influenced by the presence of the Soret coefficient.anisotropic permeability, bidisperse porous medium, doublediffusive convection, linear instability, nonlinear stability

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Bidispersive-inclined convection

Cited by 38 publications

References 24 publications

Continuous dependence on modelling for temperature-dependent bidispersive flow

Continuous dependence on modelling for temperature-dependent bidispersive flow

Bidispersive thermal convection

Effect of anisotropic permeability on double‐diffusive bidisperse porous medium

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