Simulation of forced convection in non-Newtonian fluid through sandstones

被引：5

作者：

Gokhale M.Y. ^{[1
]}

Fernandes I. ^{[2
]}

机构：

[1] Department of Mathematics, Maharashtra Institute of Technology, Pune

[2] Department of Mathematics, Rosary College, Navelim, Goa

来源：

International Journal for Computational Methods in Engineering Science and Mechanics | 2017年 / 18卷 / 06期

关键词：

Carreau–Yasuda model; lattice boltzmann method; non-Newtonian fluid; porous media;

D O I：

10.1080/15502287.2017.1366596

中图分类号：

学科分类号：

摘要：

Numerical simulation is carried out to study forced convection in non-Newtonian fluids flowing through sandstones. Simulation is carried out using lattice Boltzmann method (LBM) for both shear-thinning and shear-thickening, by varying the power law index from 0.5 to 1.5 in Carreau–Yasuda model. Parameters involved in LBM and Carreau model are identified to achieve numerical convergence. Permeability and porosity are varied in the range of 10−10–10−6 and 0.1–0.7, respectively, to match actual geometrical properties of sandstone. Numerical technology is validated by establishing Darcy's law by plotting the graph between velocity and pressure gradient. Consequently, investigation is carried out to study the influence of material properties of porous media on flow properties such as velocity profiles, temperature profiles, and Nusselt number. © 2017 Taylor & Francis Group, LLC.

引用

页码：302 / 308

页数：6

共 18 条

[1]

Bear J., Dynamics of Fluids in Porous Media, (1972)

[2]

Scheidegger A.E., The Physics of Flow Through Porous Media, (1974)

[3]

Bejan A., Nield D.A., Convection in Porous Media, (2013)

[4]

Savins J.G., Non-Newtonian Flow Through Porous Media, Ind. Eng. Chem., 61, 2, pp. 18-47, (1969)

[5]

Pearon J.R.A., Tardy P.M.J., Models for Flow of Non-Newtonian and Complex Fluids Through Porous Media, J. Non-Newtonian Fluid Mech., 102, pp. 447-473, (2002)

[6]

Sochi T., Non-Newtonian Flow in Porous Media, Polymer, 51, pp. 5007-5023

[7]

Chen S., Doolen Gary D., Lattice Boltzmann Method for Fluid Flows, Annu. Rev. Fluid Mech., 30, pp. 329-364, (1998)

[8]

Guo Z., Zhao T.S., Lattice Boltzmann Model for Incompressible Flows Through Porous Media, Phys. Rev. E, 66, (2002)

[9]

Seta T., Takegoshi E., Okui K., Lattice Boltzmann Simulation of Natural Convection in Porous Media, Math. Comput. Simulat., 72, pp. 195-200, (2006)

[10]

Sullivan S.P., Gladden L.F., Johns M.L., Simulation of Power-law Flow Through Porous Media Using Lattice Boltzmann Techniques, J. Non-Newtonian Fluid Mech., 133, pp. 91-98, (2006)

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