Bidispersive thermal convection

Gentile, Maurizio; Straughan, Brian

doi:10.1016/j.ijheatmasstransfer.2017.06.095

Cited by 52 publications

(39 citation statements)

References 20 publications

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“…First of all, we consider the case of a non-rotating layer, in this case as T → 0 we get Ra = 4π 2 γ 1 + γ 2 + γ 1 γ 2 4 + γ 1 + γ 2 , (5.1) exactly formula (17) p. 839 of Gentile & Straughan [14]. Next, in order to compare our result with the case of a rotating monodispersive porous layer, we define the classical Rayleigh number Ra cl by…”

Section: Resultsmentioning

confidence: 99%

Coriolis effect on thermal convection in a rotating bidispersive porous layer

2020

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Section: Resultsmentioning

confidence: 99%

Coriolis effect on thermal convection in a rotating bidispersive porous layer

2020

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“…Furthermore, when

R_{c} = 0

, we have Gentile and Straughan's 24 work in the bidispersive thermal convection, where

\overset{w}{true} = k_{r}

and

λ = 1 / γ_{2}

, compare (31) in Gentile and Straughan 24 …”

Section: Solution Of Linear Stability Equationsmentioning

confidence: 94%

“…The equation of energy balance is established as in Falsaperla et al 23 and Gentile and Straughan 24 and may be written as

{false(ρ c false)}_{m} T_{, t} + {false(ρ c false)}_{f} ((), U_{i}^{f} + U_{i}^{p}) T_{, i} = κ_{i j}^{m} normalΔ T,

where

c

is the specific heat in the porous medium. The coefficients

{false(ρ c false)}_{m}

and

κ_{ij}^{m}

are given by

{false(ρ c false)}_{m} = false(1 - ε false) false(1 - φ false) {false(ρ c false)}_{s} + (φ + ε false(1 - φ false)) {false(ρ c false)}_{f},

κ_{i j}^{m} = (1 - ε) (1 - φ) κ_{i j}^{s} + (φ + ε (1 - φ)) κ_{i j}^{f} .

…”

Section: Governing Equationsmentioning

confidence: 99%

“…Further studies were also considered by Narasimhan and Reddy, 21,22 and Falsaperla et al, 23 for the case of single temperature model. Some other investigations are due to Gentile and Straughan 24,25 . In particular, they analyzed the linear instability and the nonlinear stability for the problem of thermal convection in a bidispersive porous medium.…”

Section: Introductionmentioning

confidence: 99%

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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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“…The theory of thermal convection in a bidisperse porous medium was presented in fundamental work by Nield & Kuznetsov [42,1,43,44,45] and by Nield [46]. Falsaperla et al [47] and Gentile & Straughan [48] continued the work of Nield & Kuznetsov but they restrict attention to a single temperature field which still has many real applications. Other recent papers dealing with the single temperature field model are by Franchi et al [49], Gentile & Straughan [50], and Straughan [51,30].…”

Section: Introductionmentioning

confidence: 99%

Effect of inertia on double diffusive bidispersive convection

Straughan

2019

International Journal of Heat and Mass Transfer

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Convection thresholds in a saturated bidisperse porous material are calculated in the presence of a non-zero coefficient of inertia, the acceleration coefficient, for the fluid velocity in the macro pores. We concentrate on the case where the layer is heated from below and simultaneously salted from below. The effect of increasing the size of the acceleration coefficient is generally to increase the critical Rayleigh number above which convective motion commences, although the precise values depend on the interaction coefficient between the micro and macro pores, the porosities, and the Lewis number.

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Bidispersive thermal convection

Cited by 52 publications

References 20 publications

Coriolis effect on thermal convection in a rotating bidispersive porous layer

Coriolis effect on thermal convection in a rotating bidispersive porous layer

Effect of anisotropic permeability on double‐diffusive bidisperse porous medium

Effect of inertia on double diffusive bidispersive convection

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