Abstract
The current analysis is carried out for the Al2O3 nanoparticles transportation through a permeable cubic geometry under the influence of the magnetic force through a hot cubic object. The physical phenomenon described in the basic equations together with the Maxwell’s equations. Then D3Q19 model is sketched for the discretization of the velocity vectors for using the $3D$ Lattice Boltzmann Method (LBM). The impact of Brownian motion in the Al2O3-H2O nanofluids is considered by taking the Koo–Kleinstreuer model into consideration. The nanoparticles transportation under the impacts of the buoyancy and Lorentz forces, and permeability is studied with LBM. Numerical simulations are performed for different values of magnetic parameter, Darcy’s and Rayleigh numbers. The validation of the applied technique is presented in Fig. 3 in the form of isotherms by comparing the obtained results with Calcagni et al. . For the enhancement of the heat transfer analysis a quantitative comparison of the current study is presented in Fig. 4 . All the results for various parameters are presented in the form of isotherms. The obtained results show the efficient conduction for higher values of $Ha$ . The larger values of $Da$ show reduction in the boundary layer thickness. The average Nusselt number $Nu_{ave} $ enhances with higher values of the permeability parameter. The efficiency of the implemented technique is demonstrated in Table 4 , where the Nusselt number is tabulated for distinct numbers of $Gr$ and $Ha$ , and are compared with the available literature.
Highlights
The breakthrough of nanoparticles in the field of engineering and other sciences is started from the heat transfer analysis
Lattice Boltzmann Method (LBM) is used for the numerical study of the basic equations.These computations are performed for different numbers of Ha n 10 ; for n 0,2,4,6. , Rayleigh number Ra 10n for n 3,4,5. , Darcy number
The Lorentz force impact over a porous cubic enclosure is analyzed with the help of LBM
Summary
The breakthrough of nanoparticles in the field of engineering and other sciences is started from the heat transfer analysis. On large and small level processes the heat produced affects the performance of the machine [1,2,3,4,5]. To overcome this situation, in recent years for the purpose of cooling, the concept of nanoparticles is introduced that play a pivotal role to carry out the heat produced. The dimension and shape of these particles matters a lot in the heat transfer analysis and its impact is proved both theoretically and experimentally. The use of nanoparticles has –a-days expanded to the treatment of different diseases, like tumor cells etc [11,12,13,14,15]
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.