Numerically simulated behavior of radiative Fe3O4 and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

doi:10.1007/s10483-021-2693-9

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (3): 347-356.doi: https://doi.org/10.1007/s10483-021-2693-9

Numerically simulated behavior of radiative Fe₃O₄ and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

S. A. SHEHZAD¹, M. SHEIKHOLESLAMI^2,3, T. AMBREEN⁴, A. SALEEM⁴, A. SHAFEE⁵

1. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
2. Renewable Energy Systems and Nanofluid Applications in Heat Transfer Laboratory, Babol Noshirvani University of Technology, Babol 47148-71167, Iran;
3. Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol 47148-71167, Iran;
4. School of Mechanical Engineering, Kyungpook National University, Daegu 41566, South Korea;
5. Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam

收稿日期:2020-07-20 修回日期:2020-09-25 发布日期:2021-02-23
通讯作者: S. A. SHEHZAD E-mail:ali_qau70@yahoo.com

Numerically simulated behavior of radiative Fe₃O₄ and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

S. A. SHEHZAD¹, M. SHEIKHOLESLAMI^2,3, T. AMBREEN⁴, A. SALEEM⁴, A. SHAFEE⁵

1. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
2. Renewable Energy Systems and Nanofluid Applications in Heat Transfer Laboratory, Babol Noshirvani University of Technology, Babol 47148-71167, Iran;
3. Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol 47148-71167, Iran;
4. School of Mechanical Engineering, Kyungpook National University, Daegu 41566, South Korea;
5. Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam

Received:2020-07-20 Revised:2020-09-25 Published:2021-02-23
Contact: S. A. SHEHZAD E-mail:ali_qau70@yahoo.com

摘要/Abstract

摘要： Free convection in hybrid nanomaterial-saturated permeable media is crucial in various engineering applications. The present study aims to investigate the free convection of an aqueous-based hybrid nanomaterial through a zone under the combined effect of the Lorentz force and radiation. The natural convection of the hybrid nanomaterial is modeled by implementing a control volume finite element method (CVFEM)-based code, whereas Darcy assumptions are used to model the porosity terms in the momentum buoyancy equation involving the average Nusselt number Nu_ave, flow streamlines, and isotherm profiles. A formula for estimating Nu_ave is proposed. The results show that the magnetic force retards the flow, and the fluid tends to attract the magnetic field source. Nu_ave is directly correlated with the Rayleigh number and radiation; however, it is indirectly dependent on the Hartmann number. Conduction is the dominant mode at larger Darcy and Hartmann numbers.

关键词: free convection, hybrid nanoparticle, Darcy porous space, Hartmann number, radiation

Abstract: Free convection in hybrid nanomaterial-saturated permeable media is crucial in various engineering applications. The present study aims to investigate the free convection of an aqueous-based hybrid nanomaterial through a zone under the combined effect of the Lorentz force and radiation. The natural convection of the hybrid nanomaterial is modeled by implementing a control volume finite element method (CVFEM)-based code, whereas Darcy assumptions are used to model the porosity terms in the momentum buoyancy equation involving the average Nusselt number Nu_ave, flow streamlines, and isotherm profiles. A formula for estimating Nu_ave is proposed. The results show that the magnetic force retards the flow, and the fluid tends to attract the magnetic field source. Nu_ave is directly correlated with the Rayleigh number and radiation; however, it is indirectly dependent on the Hartmann number. Conduction is the dominant mode at larger Darcy and Hartmann numbers.

Key words: free convection, hybrid nanoparticle, Darcy porous space, Hartmann number, radiation

中图分类号:

76Sxx
76Bxx

S. A. SHEHZAD, M. SHEIKHOLESLAMI, T. AMBREEN, A. SALEEM, A. SHAFEE. Numerically simulated behavior of radiative Fe₃O₄ and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(3): 347-356.

参考文献

[1] CHOI, S. U. S. and ESTMAN, J. Enhancing thermal conductivity of fluids with nanoparticles. ASME-Publications-Fed, 231, 99-106(1995)
[2] REDDY, S. R. R., REDDY, P. B. A., and BHATTACHARYYA, K. Effect of nonlinear thermal radiation on 3D magneto slip flow of Eyring-Powell nanofluid flow over a slendering sheet with binary chemical reaction and Arrhenius activation energy. Advanced Powder Technology, 30(12), 3203-3213(2019)
[3] HAFEEZ, A., KHAN, M., AHMED, A., and AHMED, J. Rotational flow of Oldroyd-B nanofluid subject to Cattaneo-Christov double diffusion theory. Applied Mathematics and Mechanics (English Edition), 41(7), 1083-1094(2020) https://doi.org/10.1007/s10483-020-2629-9
[4] KHAN, M., SARFRAZ, M., AHMED, J., AHMAD, L., and FECTECAU, C. Non-axisymmetric Homann stagnation-point flow of Walter’s B nanofluid over a cylindrical disk. Applied Mathematics and Mechanics (English Edition), 41(5), 725-740(2020) https://doi.org/10.1007/s10483-020-2611-5
[5] JANA, S., SALEHI-KHOJIN, A., and ZHONG, W. H. Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives. Thermochimica Acta, 462, 45-55(2007)
[6] SUNDAR, L. S., SINGH, M. K., and SOUSA, A. C. M. Enhanced heat transfer and friction factor of MWCNT-Fe₃O₄/water hybrid nanofluids. International Communications in Heat and Mass Transfer, 52, 73-83(2014)
[7] XU, B., WANG, B., ZHANG, C., and ZHOU, J. Synthesis and light-heat conversion performance of hybrid particles decorated MWCNTs/paraffin phase change materials. Thermochimica Acta, 652, 77-84(2017)
[8] DAS, P. K. A review based on the effect and mechanism of thermal conductivity of normal nanofluids and hybrid nanofluids. Journal of Molecular Liquids, 240, 420-446(2017)
[9] AKILU, S., BAHETA, A. T., SAID, M. A. M., and MINEA, A. A. Properties of glycerol and ethylene glycol mixture based SiO₂-CuO/C hybrid nanofluid for enhanced solar energy transport. Solar Energy Materials and Solar Cells, 179, 118-128(2018)
[10] LI, J., LIU, L., ZHENG, L., and BIN-MOHSIN, B. Unsteady MHD flow and radiation heat transfer of nanofluid in a finite thin film with heat generation and thermophoresis. Journal of the Taiwan Institute of Chemical Engineers, 67, 226-234(2016)
[11] MANH, T. D., NAM, N. D., ABDULRAHMAN, G. K., MORADI, R., and BABAZADEH, H. Impact of MHD on hybrid nanomaterial free convective flow within a permeable region. Journal of Thermal Analysis and Calorimetry, 140, 2865-2873(2020)
[12] SHEIKHOLESLAMI, M. Application of Control Volume Based Finite Element Method (CVFEM ) for Nanofluid Flow and Heat Transfer, Elsevier, Amsterdam (2019)
[13] RUDRAIAH, N., BARRON, R. M., VENKATACHALAPPA, M., and SUBBARAYA, C. K. Effect of a magnetic field on free convection in a rectangular enclosure. International Journal of Engineering Science, 33, 1075-1084(1995)

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Numerically simulated behavior of radiative Fe₃O₄ and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

Numerically simulated behavior of radiative Fe₃O₄ and multi-walled carbon nanotube hybrid nanoparticle flow in presence of Lorentz force

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