Influence of Lorentz forces on nanofluid flow in a porous cavity by means of non-Darcy model

2017 ◽  
Vol 34 (8) ◽  
pp. 2651-2667 ◽  
Author(s):  
M. Sheikholeslami
Keyword(s):  
Porous Media ◽  
Volume Fraction ◽  
Control Volume ◽  
Darcy Number ◽  
Water Volume ◽  
Nanofluid Flow ◽  
Magnetic Nanofluid ◽  
Content Type ◽  
Darcy Model ◽  
Lorentz Forces

Purpose This main purpose of this paper is to investigate the influence of Lorentz forces on magnetic nanofluid free convection in a porous media. Control volume based finite element method (CVFEM) is chosen to simulate the purpose of this paper. Influences of Darcy number, Fe3O4–water volume fraction, Hartmann and Rayleigh numbers on hydrothermal behavior are presented. Design/methodology/approach Magnetic nanofluid flow in a permeable medium is studied numerically using the non-Darcy model. Outputs are obtained by means of CVFEM. Findings Results indicated that isotherms become denser near the inner cylinder with augmentation of the permeability of the porous media. The Nusselt number enhances with an increase in buoyancy forces, Darcy number but it detracts with augment of Lorentz forces. Originality/value Results depict that the effect of the Hartmann number on rate of heat transfer is more observable in a medium with higher permeability.

Numerical simulation of Fe3O4-water nanofluid flow in a non-Darcy porous media

2018 ◽  
Vol 28 (3) ◽  
pp. 641-660 ◽  
Author(s):  
M. Sheikholeslami ◽  
A. Zeeshan
Keyword(s):  
Inclination Angle ◽  
Design Methodology ◽  
Volume Fraction ◽  
Control Volume ◽  
Darcy Number ◽  
Nanofluid Flow ◽  
Content Type ◽  
Buoyancy Forces ◽  
Lorentz Forces ◽  
Rayleigh Numbers

Purpose This paper aims to investigate non-Darcy magnetohydrodynamic nanofluid flow in a uniformly porous medium. It is assumed that viscosity of nanofluid (Fe3O4-water) is a function of external magnetic field. Roles of Darcy number, inclination angle, volume fraction of nanofluid, Hartmann and Rayleigh numbers are demonstrated graphically. Design/methodology/approach The problem is modeled, and simulation has been done by means of control volume base finite element method. Findings Results proved that Nusselt number enhances with augment of buoyancy forces and Darcy number while it decreases with the increase of Lorentz forces. Isotherms become denser near the inner cylinder with increase of inclination angle and the Darcy number. Originality/value As per the authors’ knowledge, this problem is new and not been published before.

Numerical simulation for external magnetic field influence on Fe3O4-water nanofluid forced convection

2018 ◽  
Vol 35 (4) ◽  
pp. 1639-1654 ◽  
Author(s):  
Mohsen Sheikholeslami
Keyword(s):  
Magnetic Field ◽  
Nusselt Number ◽  
Volume Fraction ◽  
Control Volume ◽  
Darcy Number ◽  
Water Volume ◽  
Shape Effect ◽  
Content Type ◽  
Water Volume Fraction ◽  
The Impact

Purpose The purpose of this paper is to simulate nanofluid laminar steady flow in a lid-driven porous cavity under the impact of Lorentz forces. Design/methodology/approach Shape effect of nanoparticles and magnetic field impact on nanofluid properties are taken into consideration. The solutions of final equations are obtained by control volume based finite element method (CVFEM). Findings Graphs are depicted for different values of Darcy number, Fe3O4-water volume fraction, Reynolds and Hartmann numbers. Originality/value Results illustrated that using Platelet-shaped nanoparticles results in the highest Nusselt number. Nusselt number augments with rise of Darcy and Reynolds number.

Nanofluid Treatment in Existence of Magnetic Field Using Non-Darcy Model for Porous Media

2018 ◽  
pp. 456-555
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Finite Element Method ◽  
Porous Media ◽  
Control Volume ◽  
Convection Heat Transfer ◽  
Darcy Number ◽  
Convection Heat ◽  
Darcy Model ◽  
Flow And Heat Transfer

In this chapter, the non-Darcy model is employed for porous media filled with nanofluid. Both natural and forced convection heat transfer can be analyzed with this model. The governing equations in forms of vorticity stream function are derived and then they are solved via control volume-based finite element method (CVFEM). The effect of Darcy number on nanofluid flow and heat transfer is examined.

Numerical investigation of MHD nanofluid free convective heat transfer in a porous tilted enclosure

2017 ◽  
Vol 34 (6) ◽  
pp. 1939-1955 ◽  
Author(s):  
M. Sheikholeslami
Keyword(s):  
Inclination Angle ◽  
Hartmann Number ◽  
Volume Fraction ◽  
Control Volume ◽  
Darcy Number ◽  
Constant Heat Flux ◽  
Content Type ◽  
Tilted Angle ◽  
Buoyancy Forces ◽  
Stream Function Formulation

Purpose The effect of a magnetic field on nanofluid natural convection in a porous annulus is simulated. Control volume-based finite element method (CVFEM) is applied to find the influence of tilted angle and Darcy, Rayleigh and Hartmann numbers on nanofluid hydrothermal behavior. Vorticity stream function formulation is taken into account. Also, Brownian motion effect on nanofluid thermal conductivity is considered. Results reveal that Hartmann number and tilted angle make changes in nanofluid flow style. Nusselt number enhances with augment of Darcy number and buoyancy forces but reduces with rise of tilted angle and Hartmann number. Design/methodology/approach The influence of adding CuO nanoparticles in water on the velocity and temperature distribution in an inclined half-annulus was studied considering constant heat flux. CVFEM is applied to the simulation procedure. Findings Influences of CuO volume fraction, inclination angle and Rayleigh number on hydrothermal manners are presented. Originality/value Results indicate that inclination angle makes changes in flow style. The temperature gradient enhances with rise of buoyancy forces, whereas it reduces with augment of inclination angle.

Instability of hydromagnetic Couette flow for hybrid nanofluid through porous media with small suction and injection effects

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Pascalin Tiam Kapen ◽  
Cédric Gervais Njingang Ketchate ◽  
DIdier Fokwa ◽  
Ghislain Tchuen
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Porous Media ◽  
Stability Analysis ◽  
Volume Fraction ◽  
Temporal Stability ◽  
Darcy Number ◽  
Hybrid Nanofluid ◽  
Content Type ◽  
The Magnetic Field

Purpose This paper aims to investigate a linear and temporal stability analysis of hybrid nanofluid flow between two parallel plates filled with a porous medium and whose lower plate is fixed and the upper plate animated by a uniform rectilinear motion. Design/methodology/approach The nanofluid is composed of water as a regular fluid, silver (Ag) and alumina (Al2O3) as nanoparticles. The mathematical model takes into account other effects such as the magnetic field and the aspiration (injection/suction). Under the assumption of a low magnetic Reynolds number, a modified Orr–Sommerfeld-type eigenvalue differential equation governing flow stability was derived and solved numerically by Chebyshev’s spectral collocation method. The effects of parameters such as volume fraction, Darcy number, injection/suction Reynolds number, Hartmann number were analyzed. Findings It was found the following: the Darcy number affects the stability of the flow, the injection/suction Reynolds number has a negligible effect, the volume fraction damped disturbances and the magnetic field plays a very important role in enlarging the area of flow stability. Originality/value The originality of this work resides in the linear and temporal stability analysis of hydromagnetic Couette flow for hybrid nanofluid through porous media with small suction and injection effects.

Magnetohydrodynamic CuO–Water Nanofluid in a Porous Complex-Shaped Enclosure

2017 ◽  
Vol 9 (4) ◽  
Author(s):  
M. Sheikholeslami ◽  
Houman B. Rokni
Keyword(s):  
Convective Flow ◽  
Hartmann Number ◽  
Volume Fraction ◽  
Control Volume ◽  
Water Volume ◽  
Effective Parameters ◽  
Buoyancy Forces ◽  
Lorentz Forces ◽  
Water Volume Fraction ◽  
Heat Transfer Improvement

Steady nanofluid convective flow in a porous cavity is investigated. Darcy and Koo–Kleinstreuer–Li (KKL) models are considered for porous media and nanofluid, respectively. The solutions of final equations are obtained by control volume-based finite element method (CVFEM). Effective parameters are CuO–water volume fraction, number of undulations, and Rayleigh and Hartmann numbers for porous medium. A correlation for Nuave is presented. Results depicted that heat transfer improvement reduces with the rise of buoyancy forces. Influence of adding nanoparticle augments with augment of Lorentz forces. Increasing Hartmann number leads to decrease in temperature gradient.

Influence of inclined Lorentz forces through a porous media on squeezing Cu-H2o nanofluid in the presence of heat source/sink

2019 ◽  
Vol 30 (5) ◽  
pp. 2563-2581 ◽  
Author(s):  
Seyedmohammad Mousavisani ◽  
Javad Khalesi ◽  
Hossein Golbaharan ◽  
Mohammad Sepehr ◽  
D.D. Ganji
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Volume Fraction ◽  
Approximate Solutions ◽  
Squeezing Flow ◽  
Parallel Plates ◽  
Content Type ◽  
Flow And Heat Transfer ◽  
Variable Heat ◽  
Lorentz Forces

Purpose The purpose of this paper is to find the approximate solutions of unsteady squeezing nanofluid flow and heat transfer between two parallel plates in the presence of variable heat source, viscous dissipation and inclined magnetic field using collocation method (CM). Design/methodology/approach The partial governing equations are reduced to nonlinear ordinary differential equations by using appropriate transformations and then are solved analytically by using the CM. Findings It is observed that the enhancing values of aligned angle of the magnetic causes a reduction in temperature distribution. It is also seen that the effect of nanoparticle volume fraction is significant on the temperature but negligible on the velocity profile. Originality/value To the best of the authors’ knowledge, no research has been carried out considering the combined effects of inclined Lorentz forces and variable heat source on squeezing flow and heat transfer of nanofluid between the infinite parallel plates.

Numerical investigation of three-dimensional nanofluid flow with heat and mass transfer on a nonlinearly stretching sheet using the barycentric functions

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Soraya Torkaman ◽  
Ghasem Barid Loghmani ◽  
Mohammad Heydari ◽  
Abdul-Majid Wazwaz
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Stretching Sheet ◽  
Volume Fraction ◽  
Three Dimensional ◽  
Operational Matrices ◽  
Nanofluid Flow ◽  
Content Type ◽  
Nonlinearly Stretching Sheet

Purpose The purpose of this paper is to investigate a three-dimensional boundary layer flow with considering heat and mass transfer on a nonlinearly stretching sheet by using a novel operational-matrix-based method. Design/methodology/approach The partial differential equations that governing the problem are converted into the system of nonlinear ordinary differential equations (ODEs) with considering suitable similarity transformations. A direct numerical method based on the operational matrices of integration and product for the linear barycentric rational basic functions is used to solve the nonlinear system of ODEs. Findings Graphical and tabular results are provided to illustrate the effect of various parameters involved in the problem on the velocity profiles, temperature distribution, nanoparticle volume fraction, Nusselt and Sherwood number and skin friction coefficient. Comparison between the obtained results, numerical results based on the Maple's dsolve (type = numeric) command and previous existing results affirms the efficiency and accuracy of the proposed method. Originality/value The motivation of the present study is to provide an effective computational method based on the operational matrices of the barycentric cardinal functions for solving the problem of three-dimensional nanofluid flow with heat and mass transfer. The convergence analysis of the presented scheme is discussed. The benefit of the proposed method (PM) is that, without using any collocation points, the governing equations are converted to the system of algebraic equations.

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