Numerical approach for MHD AlO-water nanofluid transportation inside a permeable medium using innovative computer method
Introduction
Porous media has various uses in different sciences. Nanofluid is new working fluid can be employed to enhance thermal properties. Modeling of nanofluid in a porous medium has various ways. One of the effective ways is Darcy model which is used in this paper. Abbas et al. [1] demonstrated micropolar nanofluid migration over a cylinder. They considered slip conditions and studied stagnation point flow. Khan [2] displayed the transportation of nanoparticles in existence of MHD slip flow. He utilized MoS2 nanoparticles. Haq et al. [3] reported the convective flow under Lorentz forces in a porous wavy cavity. Sheikh et al. [4] demonstrated the second-grade fluid migration through a permeable medium using time-fractional derivative. They included magnetic force effect on their model. Hayat et al. [5] simulated slip effect on MHD nanofluid transportation on a disk. They supposed rotating system and added the related terms. Sheikholeslami [6] demonstrated alumina forced convection in three dimensional porous media. He employed LBM to find the impact of magnetic forces. Ali et al. [7] modeled blood flow in a pipe with fractional model. They added the influence of magnetic field. Ijaz and Nadeem [8] studied the nanoparticles’ migration in tube for drug delivery purpose.
Kefayati [9] demonstrated nanoparticles’ mixed convection through a double side driven cavity. He utilized combination of FDM and LBM. Khan et al. [10] demonstrated the spray of nanofluid over a cylinder. They considered stretching wall for cylinder and added magnetic field impact. Haq et al. [11] simulated the SWCNTs nanoparticles migration in a C shape cavity. Sheikholeslami [12] illustrated Darcy law application for estimating nanofluid behavior through a porous cavity under Lorentz force. They found that magnetic force can reduce the velocity. Hashim et al. [13] investigated nanofluid transient heat transfer due to Lorentz forces. They used variable thermal conductivity. Ali et al. [14] utilized the new model for magnetohydrodynamic natural convection flow. They employed Caputo–Fabrizio derivatives. Various ways was employed to augment thermal characteristics of common fluid [[15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26]].
In current attempt, magnetic force influences on nanofluid MHD convective flow through a permeable medium was demonstrated via Darcy law. Innovative method (CVFEM) has been employed for simulation. Graphs display impacts of Ra, Rd and Ha on behavior of nanofluid.
Section snippets
Problem description
Current porous enclosure and related boundary conditions were displayed in Fig. 1. The porous cavity is full of H2O based nanofluid. To obtain the shape of outer cold surface Eq. (1) can be used. Uniform heat flux was employed for inner wall. Constant Lorentz force was added to control the flow.
Formulation
Heat transfer and nanofluid flow inside a complex shape porous medium is examined in current article. Lorentz force and thermal radiation impacts are included in our model. Darcy model is selected for porous media. To predict nanofluid characteristics, homogeneous model with considering shape factor effect has been employed. To model such problem, following equations can be considered:
Grid analysis and validation
Each simulation outputs must be independent of mesh size. Different grids should be tested for each state as illustrated in Table 4. To being sure about accuracy of present code comparisons with previous publication are demonstrated in Fig. 2 and Table 5 [[28], [29], [30]]. According to these observations, we can be sure about correctness of code.
Results and discussion
Radiative nanoparticles migration through a permeable medium has been demonstrated considering Darcy law. Nanoparticle’s shape and Brownian forces’ impacts on nanofluid behavior are considered. Results are presented to show the impact of Alumina volume fraction ( to ), radiation parameter ( to ), buoyancy forces ( and ) and Hartmann number ( to ).
Differences of Nusselt number due to shape of Al2O3 were depicted in Table 6. Highest Nu is reported for Platelet
Conclusions
Impact of constant magnetic force on alumina transportation inside a permeable enclosure is reported using Darcy law. Various shapes of nanoparticle and Brownian forces on nanofluid properties are involved. Innovative method was completed using CVFEM. Roles of Hartmann and Rayleigh numbers and radiation parameter are depicted. Outputs depict that decreases with improvement of Ha while it enhances with rise of and .
Acknowledgment
The author must acknowledge the funding support of Babol Noshirvani University of Technology, Iran through Grant program No. BNUT/390051/97.
References (30)
- et al.
On stagnation point flow of a micro polar nanofluid past a circular cylinder with velocity and thermal slip
Results Phys.
(2018) Effects of MoS2 nanoparticles on MHD slip flow of molybdenum disulphide nanofluid in a porous medium
J. Molecular Liquids
(2017)- et al.
On magnetohydrodynamic flow of nanofluid due to a rotating disk with slip effect: A numerical study
Comput. Methods Appl. Mech. Engrg.
(2017) Influence of magnetic field on Al2O3-HO nanofluid forced convection heat transfer in a porous lid driven cavity with hot sphere obstacle by means of LBM
J. Molecular Liquids
(2018)- et al.
Magnetic field effect on blood flow of Casson fluid in axisymmetric cylindrical tube: A fractional model
J. Magn. Magn. Mater.
(2017) - et al.
Consequences of blood mediated nano transportation as drug agent to attenuate the atherosclerotic lesions with permeability impacts
J. Molecular Liquids
(2018) Application of Darcy law for nanofluid flow in a porous cavity under the impact of Lorentz forces
J. Molecular Liquids
(2018)- et al.
Investigation of Cu-CuO/blood mediated transportation in stenosed artery with unique features for theoretical outcomes of hemodynamics
J. Molecular Liquids
(2018) Solidification of NEPCM under the effect of magnetic field in a porous thermal energy storage enclosure using CuO nanoparticles
J. Molecular Liquids
(2018)- et al.
Corrugated walls analysis in microchannels through porous medium under Electromagnetohydrodynamic (EMHD) effects
Results Phys.
(2018)
Nanofluid flow and forced convection heat transfer due to Lorentz forces in a porous lid driven cubic enclosure with hot obstacle
Comput. Methods Appl. Mech. Engrg.
Influence of homogeneous-heterogeneous reactions on MHD 3D Maxwell fluid flow with Cattaneo-Christov heat flux and convective boundary condition
J. Molecular Liquids
Analysis of flow and heat transfer in water based nanofluid due to magnetic field in a porous enclosure with constant heat flux using CVFEM
Comput. Methods Appl. Mech. Engrg.
Numerical modeling of nanofluid natural convection in a semi annulus in existence of Lorentz force
Comput. Methods Appl. Mech. Engrg.
Effect of rotating twisted tape on thermo-hydraulic performances of nanofluids in heat-exchanger systems
Energy Convers. Manage.
Cited by (458)
Oscillation and evolution characteristics of nanofluid thermocapillary convection in rectangular cavity
2023, Journal of Molecular LiquidsMagnetohydrodynamic convection-entropy generation of a non-Newtonian nanofluid in a 3D chamber filled with a porous medium
2023, Journal of Magnetism and Magnetic MaterialsNumerical investigation of MHD Cattaneo–Christov thermal flux frame work for Maxwell fluid flow over a steady extending surface with thermal generation in a porous medium
2023, International Journal of Thermofluids