A mesoscopic model for thermal–solutal problems of power-law fluids through porous media

Kefayati, Gholamreza; Tolooiyan, Ali; Bassom, Andrew P.; Vafai, Kambiz

doi:10.1063/5.0042526

Cited by 25 publications

(5 citation statements)

References 103 publications

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“…Further, the convection of Newtonian and non-Newtonian nanofluids through porous media with implementing the proposed method in our recent work. 87…”

Section: Discussionmentioning

confidence: 99%

A lattice Boltzmann method for single- and two-phase models of nanofluids: Newtonian and non-Newtonian nanofluids

Kefayati

Bassom

2021

Physics of Fluids

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Nanofluids play an important role in many different industries for an improvement of heat transfer. The modeling and simulation of such fluids is developing continuously. Two important models for studying nanofluids are mixture (or single-phase) and two-phase (or Buongiorno) forms, which have been examined in various ways. Non-Newtonian behavior of nanofluids (shear-thinning and viscoplasticity) has been observed in experimental tests and simulated in several studies. However, a lattice Boltzmann method (LBM), which can employ either model depending on the particular non-Newtonian constitutive equation, has not been considered to date within the suite of available numerical methods. Here, we propose a comprehensive LBM to simulate both Newtonian and non-Newtonian nanofluids. The approach has the potential to incorporate any format of extra tensor directly and is independent to the relaxation time; the upshot is that our method is appropriate for studying non-Newtonian nanofluids. The derivations for both models are presented and discussed in some detail. To evaluate the proposed method, it was compared with previous studies into a benchmark problem, natural convection in a square enclosure filled with Newtonian nanofluids and non-Newtonian fluids. Then, the applied macroscopic and LBM equations, using the power-law and viscoplastic models, for the benchmark are derived and the results are presented.

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“…Further, the convection of Newtonian and non-Newtonian nanofluids through porous media with implementing the proposed method in our recent work. 87…”

Section: Discussionmentioning

confidence: 99%

A lattice Boltzmann method for single- and two-phase models of nanofluids: Newtonian and non-Newtonian nanofluids

Kefayati

Bassom

2021

Physics of Fluids

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“…Generally speaking, porous media are multiphase structures, and a reasonable scale should be selected before their description. At present, the description, analysis, and calculation of porous media use the representative elementary volume (REV) expression method [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Rev Description Characterization Methods Of Porousmentioning

confidence: 99%

Thermal Conductivity Model Analysis of Unsaturated Ice-Containing Soil

2022

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In cold locales, the thermal conductivity of soil porous media varies according to their composition and the phase state of the substance contained within the pore space. During the winter, water and other media in the soil pore space freeze-thaw, resulting in their phase state, composition, distribution, and significant thermal conductivity changes. There are some shortcomings in the current research regarding the thermal conductivity change pattern of unsaturated ice-containing soils. In this paper, the representative elementary volume (REV) selection method is given for unsaturated ice-containing soil with porosity as a representative state variable. Under the condition of freeze-thaw, two thermal conductivity REV analysis models for unsaturated ice-containing soil are established: a simplified volume-weighted average REV model and a fine volume-weighted average REV model; accordingly, a macroscopic thermal conductivity analysis model is given. The computational analysis is carried out with an actual unsaturated ice-containing soil example. The influence of the application of frozen soil in China is examined for its effect on the variation law of the thermal conductivity of porous medium. The variation characteristics of thermal conductivity of permafrost soil with related parameters (porosity, water ratio, moisture percentage, ice content, and tortuosity) are discussed. The model built in this paper provides novel concepts and methods for analyzing the thermal conductivity characteristics of unsaturated soil, as well as enhancing and advancing the analysis.

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“…The effect of viscous dissipation on the onset of instability of the horizontal throughflow in double-diffusive power-law fluid saturated horizontal porous layer was considered by Kumari and Murthy (2019b). A mesoscopic method based on the lattice Boltzmann method for thermal-solutal incompressible non-Newtonian power-law fluids through porous media is introduced by Kefayati et al (2021). Khali et al (2022) studied the effect of double diffusive convection on the flow structures of power-law fluids between two coaxial cylinders of finite aspect ratios with end caps.…”

Section: Introductionmentioning

confidence: 99%

Exploration of rheological behavior of an Ellis fluid on the onset of thermosolutal porous convection

2023

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The initiation of thermosolutal convective instability is investigated in a horizontal porous layer saturated by a shear-thinning fluid following Ellis’ rheology. The porous layer is heated as well as salted from below and a basic horizontal throughflow prompted by the prescribed pressure gradient is considered. The linear stability analysis is performed using normal mode analysis and the threshold conditions for the onset of convection are obtained in a closed form. The imposed horizontal pressure gradient and the solute concentration gradient reinforce together in resulting the onset of convection through oscillatory motions. The transverse rolls are the most unstable which are found to be both travelling and non-travelling in the reference frame comoving with the basic throughflow. The effect of increasing the Ellis power-law index and the solute Darcy-Rayleigh number is to stabilise, while an increase in the Darcy-Ellis number is to destabilise the base flow. The pressure and temperature/solute concentration lines are presented at the critical state. The results delineated under the limiting cases are shown to be in agreement with those published previously.

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A mesoscopic model for thermal–solutal problems of power-law fluids through porous media

Cited by 25 publications

References 103 publications

A lattice Boltzmann method for single- and two-phase models of nanofluids: Newtonian and non-Newtonian nanofluids

A lattice Boltzmann method for single- and two-phase models of nanofluids: Newtonian and non-Newtonian nanofluids

Thermal Conductivity Model Analysis of Unsaturated Ice-Containing Soil

Exploration of rheological behavior of an Ellis fluid on the onset of thermosolutal porous convection

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