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Journal ArticleDOI

Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection

TLDR
In this paper, the Lattice Boltzmannian method is selected as mesoscopic approach for convective flow in cubic porous enclosure and the Brownian motion impact is taken into account via KKL model.
Abstract
Magnetohydrodynamic nanofluid convective flow in cubic porous enclosure is reported. Lattice Boltzmann Method is selected as mesoscopic approach. Brownian motion impact is taken into account via KKL model. Roles of Darcy number ( D a ) , Hartmann number ( H a ) , Rayleigh number ( R a ) , and Al 2 O 3 volume fraction ( ϕ ) are presented. Outputs are illustrated in forms of velocity contours, isokinetic energy, streamlines, isotherms and Nusselt number. Results indicate that temperature gradient over the hot surface augments with rise of Darcy numbers and ϕ while it reduces with augment of Lorentz forces. Nusselt number enhances with increase of buoyancy forces and permeability of porous media. Nanofluid motion enhances with augment of ϕ , D a , R a while it decreases with augment of H a .

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Citations
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MHD Natural convection around a permeable triangular cylinder inside a square enclosure filled with Al2O3−H2O nanofluid: An LBM study

TL;DR: In this article, the effect of Rayleigh number (Ra), Darcy number (Da), Hartmann number (Ha) and orientation of a hot triangular-shaped permeable cylinder and a cold square enclosure is examined under the influence of magnetic field using lattice Boltzmann method.
Journal ArticleDOI

MHD free convection of nanofluid in a cavity with sinusoidal walls by using CVFEM

TL;DR: In this article, the effect of external magnetic source on Fe 3 O 4 -water nanofluid convection in an enclosure with sinusoidal outer cylinder was reported by means of Control Volume based Finite Element Method (CVFEM).
Journal ArticleDOI

Doubly stratified MHD tangent hyperbolic nanofluid flow due to permeable stretched cylinder

TL;DR: In this paper, the presence of heat source and sink in doubly stratified MHD incompressible tangent hyperbolic fluid due to stretching of cylinder embedded in porous space under nanoparticles is analyzed.
Journal ArticleDOI

Exact solutions of (3 + 1)-dimensional generalized KP equation arising in physics

TL;DR: In this paper, the improved tan ϕ ( ξ ) 2 -expansion method has been introduced to construct the exact solutions of nonlinear evolution equations, including hyperbolic functions, trigonometric functions, exponential functions, and rational functions.
Journal ArticleDOI

Modelling the water transport behavior in organic-rich nanoporous shale with generalized lattice Boltzmann method

TL;DR: In this article, a generalized lattice Boltzmann method with liquid slip effect incorporated is established to understand the transport behavior of hydraulic fracturing fluid in nanopores dominated shale matrix and to demonstrate a new insight into the transport behaviors.
References
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Journal ArticleDOI

Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids

TL;DR: In this article, a model is developed to analyze heat transfer performance of nanofluids inside an enclosure taking into account the solid particle dispersion, where the transport equations are solved numerically using the finite-volume approach along with the alternating direct implicit procedure.
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Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model

TL;DR: In this paper, the effect of thermal radiation on magnetohydrodynamics nanofluid flow between two horizontal rotating plates is studied and the significant effects of Brownian motion and thermophoresis have been included in the model of Nanofluide.
Journal ArticleDOI

Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid

TL;DR: In this paper, the effects of Brownian motion on the effective viscosity and thermal conductivity of nanofluid were investigated. And the results were presented graphically in terms of streamlines, isotherms and isokinetic energy.
Journal ArticleDOI

Effect of a magnetic field on free convection in a rectangular enclosure

TL;DR: In this paper, a finite difference scheme consisting of modified ADI (Alternating Direction Implicit) method and SLOR (Successive Line Over Relaxation) method is used to solve the vorticity-stream function formulation of the problem.
Journal ArticleDOI

KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel

TL;DR: In this article, the effects of the nanoparticle volume fraction, Reynolds number, expansion ratio and power law index on Hydrothermal behavior of nanofluid fluid between two parallel plates is studied.
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