Flow diverter modeled as heterogeneous and anisotropic porous medium: Simulation, experimental validation and case analysis

Ou, Chubin; Hou, Xiaoxi; Zhang, Xin; Chong, Winston; Qian, Yi

doi:10.1016/j.jbiomech.2021.110525

Cited by 4 publications

(1 citation statement)

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“…One alternative approach is to model as a homogenous porous medium, which saves time but with compromise in accuracy. Then, Ou et al [13] proposed a new method to model FD as a heterogeneous and anisotropic porous medium whose properties were determined from local porosity. The second one is a multiple-relaxation-time lattice Boltzmann model for the flow and heat transfer in a hydrodynamically and thermally anisotropic porous medium [8].…”

Section: Introductionmentioning

confidence: 99%

The well-posedness problem of an anisotropic porous medium equation with a convection term

Zhi

Zhan

2022

J Inequal Appl

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The initial boundary value problem of an anisotropic porous medium equation is considered in this paper. The existence of a weak solution is proved by the monotone convergent method. By showing that $\nabla u\in L^{\infty}(0,T; L^{2}_{\mathrm{loc}}(\Omega ))$ ∇ u ∈ L ∞ ( 0 , T ; L loc 2 ( Ω ) ) , according to different boundary value conditions, some stability theorems of weak solutions are obtained. The unusual thing is that the partial boundary value condition is based on a submanifold Σ of $\partial \Omega \times (0,T)$ ∂ Ω × ( 0 , T ) and, in some special cases, $\Sigma = \{(x,t)\in \partial \Omega \times (0,T): \prod a_{i}(x,t)>0 \}$ Σ = { ( x , t ) ∈ ∂ Ω × ( 0 , T ) : ∏ a i ( x , t ) > 0 } .

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Section: Introductionmentioning

confidence: 99%