Chemical Reaction Effect on Convection in Bidispersive Porous Medium

Badday, Alaa Jabbar; Harfash, Akil J.

doi:10.1007/s11242-021-01566-6

Cited by 31 publications

(6 citation statements)

References 51 publications

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“…Presently, we solved the eigenvalue systems () and () using the Chebyshev collocation procedure, further specifics regarding this method can be found in previus studies 53‐59 . For this approach, system () has been changed to second order.…”

Section: Numerical Techniquementioning

confidence: 99%

Stability of Darcy thermosolutal convection in bidispersive porous medium with reaction

Badday

Harfash

2021

Asia-Pacific J Chem Eng

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Analysis of fluid flow in a bidispersive medium with reactions is explored. The Darcy model is used in the momentum equation with the density being a linear function in temperature and salt concentration. Two cases are regarded which are heated below and salted above system and heated and salted below system. It is presumed that the equilibrium solute concentration follows a linear relationship to temperature. A linear instability and nonlinear stability theories are conducted, and from the outputs of the analysis, the Chebyshev collocation approach is used to solve the resulting eigenvalue systems. The effects of the chemical reaction and other parameters on temperature Rayleigh number are described graphically.

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Section: Numerical Techniquementioning

confidence: 99%

Stability of Darcy thermosolutal convection in bidispersive porous medium with reaction

Badday

Harfash

2021

Asia-Pacific J Chem Eng

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“…Consequently, bi-disperse porous materials provide much more materials possibilities to design man-made materials for heat transfer problems. For this reason, recently, the onset of bi-disperse convection has become an interesting topic to investigate for many researchers such as Imani et al [5], Gentile and Straughan [6], Gentile et al [7], Badday et al [8], Falsaperla et al [9] and Capone et al [10].…”

Section: Introductionmentioning

confidence: 99%

Throughflow effect on bi-disperse convection in Rivlin-Ericksen fluid

Sharma,

Thakur

2024

J. Nig. Soc. Phys. Sci.

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In this investigation, we delve into the influence of throughflow on the phenomenon of bi-disperse convection within Rivlin-Ericksen fluid. In the context of examining bi-disperse convection within this specific type of fluid, the throughflow effect is considered to have a uniform vertical distribution. The primary focus of this study centers on evaluating the system’s linear stability. To achieve this, we employ normal mode analysis to compute the Darcy-Rayleigh number at the onset of convection. This Darcy-Rayleigh number is computed for both stationary and oscillatory convection modes. Furthermore, we conduct a comprehensive analysis and present the results in graphical form to illustrate the impact of various parameters, including Peclet number and kinematic viscoelastic parameter, on both stationary and oscillatory convection. Our research findings demonstrate that when Peclet number Pr1 < 0, it leads to destabilising effect on both stationary and oscillatory convections. Conversely, when Peclet number Pr1 > 0, it induces stabilising effect on both stationary as well as oscillatory convections.

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“…Penetrative convection in porous media was studied under anisotropic or double-diffusive effects in [18][19][20] and in presence of throughflow for the onset of penetrative convection [21]. Regarding dual-porosity materials, bi-disperse porous media have a large number of industrial applications (to model heat pipes and computer chips, [22]) or geophysical applications (e.g., to model stockpiled pieces of coal, [23]). As defined in [24], a bi-disperse porous medium (BDPM) is characterized by a solid matrix with an interconnected void, but the solid skeleton has cracks or fissures in it, so a BDPM is a compound of clusters of large particles that are themselves agglomerations of smaller particles.…”

Section: Introductionmentioning

confidence: 99%

Penetrative convection in a bi‐disperse porous medium

Arnone

Capone

Luca

et al. 2023

Math Methods in App Sciences

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The present paper investigates penetrative convection in a bi-disperse porous medium. In particular, penetrative convection is modeled via a quadratic dependence on the temperature for the fluid density. For the problem under examination, convection can occur only through a secondary stationary motion since the validity of the principle of exchange of stabilities is proved. Via linear instability analysis of the conduction solution, the critical Rayleigh number for the onset of penetrative convection is determined. Moreover, the nonlinear stability is investigated via weighted energy method. In order to analyze the behavior of the stability and instability thresholds, numerical simulations are performed through Chebyshev-𝜏 method, proving the stabilizing effect of the upper boundary layer temperature on the onset of convective motion.

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Chemical Reaction Effect on Convection in Bidispersive Porous Medium

Cited by 31 publications

References 51 publications

Stability of Darcy thermosolutal convection in bidispersive porous medium with reaction

Stability of Darcy thermosolutal convection in bidispersive porous medium with reaction

Throughflow effect on bi-disperse convection in Rivlin-Ericksen fluid

Penetrative convection in a bi‐disperse porous medium

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