Hydrodynamic and heat transfer properties of magnetic fluid in porous medium considering nanoparticle shapes and magnetic field-dependent viscosity

doi:10.1016/j.cjche.2019.04.024

中国化学工程学报 ›› 2020, Vol. 28 ›› Issue (2): 329-339.DOI: 10.1016/j.cjche.2019.04.024

• Fluid Dynamics and Transport Phenomena • 下一篇

Hydrodynamic and heat transfer properties of magnetic fluid in porous medium considering nanoparticle shapes and magnetic field-dependent viscosity

Mohsen Izadi¹, Masoud Javanahram², Seyed Mohsen Hashem Zadeh³, Dengwei Jing⁴

1 Mechanical Engineering Department, Lorestan University, Khorramabad, Iran;
2 Mechanical Engineering Department, Islamic Azad University, Bushehr, Iran;
3 Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Iran;
4 School of Energy and Power Engineering, State Key Lab of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2019-02-25 修回日期:2019-04-25 出版日期:2020-02-28 发布日期:2020-05-21
通讯作者: Mohsen Izadi, Dengwei Jing
基金资助:
The authors gratefully acknowledge the financial supports of the National Natural Science Foundation of China (No. 51776165). This work was also supported by the China Fundamental Research Funds for the Central Universities.

Hydrodynamic and heat transfer properties of magnetic fluid in porous medium considering nanoparticle shapes and magnetic field-dependent viscosity

Mohsen Izadi¹, Masoud Javanahram², Seyed Mohsen Hashem Zadeh³, Dengwei Jing⁴

1 Mechanical Engineering Department, Lorestan University, Khorramabad, Iran;
2 Mechanical Engineering Department, Islamic Azad University, Bushehr, Iran;
3 Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Iran;
4 School of Energy and Power Engineering, State Key Lab of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2019-02-25 Revised:2019-04-25 Online:2020-02-28 Published:2020-05-21
Contact: Mohsen Izadi, Dengwei Jing
Supported by:
The authors gratefully acknowledge the financial supports of the National Natural Science Foundation of China (No. 51776165). This work was also supported by the China Fundamental Research Funds for the Central Universities.

摘要/Abstract

摘要： The purpose of this paper is to study the characteristics of the combined convection heat transfer and a micropolar nanofluid flow passing through an impermeable stretching sheet in a porous medium. The nanofluid flow field is affected by a magnetic field perpendicular to the sheet. The dynamic viscosity of the micropolar nanofluid changes under the influence of the magnetic field. The continuity, linear momentum, angular momentum, and energy equations are first simplified using the order of magnitude technique that, along with the applied boundary conditions and the definition of the appropriate parameters, are transferred to the similarity space using the similarity analysis. Then the resulting equations are solved using the Runge-Kutta method. The distinction of the macroscale and microscale flow fields and temperature fields resulting from different nanoparticle shapes was clarified. Increasing the Hartmann number, the vortex viscosity parameter, the magnetic parameter, the nanoparticle volume fraction, and the permeability parameter of the porous media increased the surface friction on the sheet. Increasing the vortex viscosity parameter, the magnetic parameter, and the volume fraction of the nanoparticles increases the Nusselt number.

关键词: MHD-combined convection, Porous media, Magnetic micropolar nanofluid

Abstract: The purpose of this paper is to study the characteristics of the combined convection heat transfer and a micropolar nanofluid flow passing through an impermeable stretching sheet in a porous medium. The nanofluid flow field is affected by a magnetic field perpendicular to the sheet. The dynamic viscosity of the micropolar nanofluid changes under the influence of the magnetic field. The continuity, linear momentum, angular momentum, and energy equations are first simplified using the order of magnitude technique that, along with the applied boundary conditions and the definition of the appropriate parameters, are transferred to the similarity space using the similarity analysis. Then the resulting equations are solved using the Runge-Kutta method. The distinction of the macroscale and microscale flow fields and temperature fields resulting from different nanoparticle shapes was clarified. Increasing the Hartmann number, the vortex viscosity parameter, the magnetic parameter, the nanoparticle volume fraction, and the permeability parameter of the porous media increased the surface friction on the sheet. Increasing the vortex viscosity parameter, the magnetic parameter, and the volume fraction of the nanoparticles increases the Nusselt number.

Key words: MHD-combined convection, Porous media, Magnetic micropolar nanofluid

Mohsen Izadi, Masoud Javanahram, Seyed Mohsen Hashem Zadeh, Dengwei Jing. Hydrodynamic and heat transfer properties of magnetic fluid in porous medium considering nanoparticle shapes and magnetic field-dependent viscosity[J]. 中国化学工程学报, 2020, 28(2): 329-339.

参考文献

[1] A.C. Bringen, Simple microfluids, Int. J. Eng. Sci. 2(1964) 205-217.
[2] A.C. Eringen, Theory of micropolar fluids, Journal of Mathematics and Mechanics (1966) 1-18.
[3] A.C. Eringen, Theory of thermomicrofluids, J. Math. Anal. Appl. 38(1972) 480-496.
[4] A. Ishak, R. Nazar, I. Pop, Boundary-layer flow of a micropolar fluid on a continuous moving or fixed surface, Can. J. Phys. 84(2006) 399-410.
[5] A. Ishak, R. Nazar, I. Pop, Moving wedge and flat plate in a micropolar fluid, Int. J. Eng. Sci. 44(2006) 1225-1236.
[6] N.A. Kelson, T.W. Farrell, Micropolar flow over a porous stretching sheet with strong suction or injection, International Communications in Heat and Mass Transfer 28(2001) 479-488.
[7] R. Bhargava, L. Kumar, H.S. Takhar, Finite element solution of mixed convection micropolar flow driven by a porous stretching sheet, Int. J. Eng. Sci. 41(2003) 2161-2178.
[8] S.U. Choi, J.A. Estman, Enhancing thermal conductivity of fluids with nanoparticles, ASME-Publications-Fed 231(1995) 99-106.
[9] H. Masuda, A. Ebata, K. Teramae, Alteration of Thermal Conductivity and Viscosity of Liquid by Dispersing Ultra-Fine Particles. Dispersion of Al₂O₃, SiO₂ and TiO₂ UltraFine Particles, Jpn J. Thermophys. Prop. 7(4) (1993) 227-233(in Japanese).
[10] S. Lee, S.-S. Choi, S. Li, J.A. Eastman, Measuring thermal conductivity of fluids containing oxide nanoparticles, J. Heat Transf. 121(1999) 280-289.
[11] Y. Xuan, Q. Li, Heat transfer enhancement of nanofluids, Int. J. Heat Fluid Flow 21(2000) 58-64.
[12] Y. Xuan, W. Roetzel, Conceptions for heat transfer correlation of nanofluids, Int. J. Heat Mass Transf. 43(2000) 3701-3707.
[13] M. Izadi, A. Behzadmehr, M.M. Shahmardan, Effects of inclination angle on laminar mixed convection of a nanofluid flowing through an annulus, Chem. Eng. Commun. 202(2015) 1693-1702.
[14] M. Izadi, A. Behzadmehr, M.M. Shahmardan, Effects of inclination angle on mixed convection heat transfer of a nanofluid in a square cavity, International Journal for Computational Methods in Engineering Science and Mechanics 16(2015) 11-21.
[15] M. Izadi, M.M. Shahmardan, Am Rashidi, Study on thermal and hydrodynamic indexes of a nanofluid flow in a micro heat sink, Transp Phenom Nano Micro Scales 1(2013) 53-63.
[16] M. Izadi, M.M. Shahmardan, A. Behzadmehr, Richardson number ratio effect on laminar mixed convection of a nanofluid flow in an annulus, International Journal for Computational Methods in Engineering Science and Mechanics 14(2013) 304-316.
[17] M. Izadi, M.M. Shahmardan, A. Behzadmehr, Am Rashidi, A. Amrollahi, Modeling of effective thermal conductivity and viscosity of carbon structured nanofluid, Transp Phenom Nano Micro Scales 3(2015) 1-13.
[18] M. Izadi, R. Mohebbi, D. Karimi, M.A. Sheremet, Numerical simulation of natural convection heat transfer inside a ┴ shaped cavity filled by a MWCNT-Fe₃O₄/water hybrid nanofluids using LBM, Chemical Engineering and Processing-Process Intensification 125(2018) 56-66.
[19] R. Mohebbi, M. Izadi, A.J. Chamkha, Heat source location and natural convection in a C-shaped enclosure saturated by a nanofluid, Phys. Fluids 29(2017), 122009.
[20] A. Zaraki, M. Ghalambaz, A.J. Chamkha, M. Ghalambaz, D. de Rossi, Theoretical analysis of natural convection boundary layer heat and mass transfer of nanofluids:Effects of size, shape and type of nanoparticles, type of base fluid and working temperature, Adv. Powder Technol. 26(2015) 935-946.
[21] M. Ghalambaz, M.A. Sheremet, I. Pop, Free convection in a parallelogrammic porous cavity filled with a nanofluid using Tiwari and Das' nanofluid model, PLoS One 10(2015), e0126486.
[22] M. Ghalambaz, A. Behseresht, J. Behseresht, A. Chamkha, Effects of nanoparticles diameter and concentration on natural convection of the Al₂O₃-water nanofluids considering variable thermal conductivity around a vertical cone in porous media, Adv. Powder Technol. 26(2015) 224-235.
[23] A. Noghrehabadi, A. Behseresht, M. Ghalambaz, Natural convection of nanofluid over vertical plate embedded in porous medium:prescribed surface heat flux, Appl. Math. Mech. 34(2013) 669-686.
[24] H. Hashemi, Z. Namazian, S.M.H. Zadeh, S.A. Mehryan, MHD natural convection of a micropolar nanofluid flowing inside a radiative porous medium under LTNE condition with an elliptical heat source, J. Mol. Liq. 271(2018) 914-925.
[25] M. Izadi, S. Sinaei, S. Mehryan, H.F. Oztop, N. Abu-Hamdeh, Natural convection of a nanofluid between two eccentric cylinders saturated by porous material:Buongiorno's two phase model, Int. J. Heat Mass Transf. 127(2018) 67-75.
[26] S.A. Mehryan, M. Ghalambaz, M. Izadi, Conjugate natural convection of nanofluids inside an enclosure filled by three layers of solid, porous medium and free nanofluid using Buongiorno's and local thermal non-equilibrium models, J. Therm. Anal. Calorim. 135(2019) 1047-1067.
[27] M. Izadi, R. Mohebbi, A.A. Delouei, H. Sajjadi, Natural convection of a magnetizable hybrid nanofluid inside a porous enclosure subjected to two variable magnetic fields, Int. J. Mech. Sci. 151(2019) 154-169.
[28] H. Sajjadi, A. Amiri Delouei, M. Izadi, R. Mohebbi, Investigation of MHD natural convection in a porous media by double MRT lattice Boltzmann method utilizing MWCNT-Fe₃O₄/water hybrid nanofluid, Int. J. Heat Mass Transf. 132(2019) 1087-1104.
[29] S. Mehryan, M.A. Sheremet, M. Soltani, M. Izadi, Natural convection of magnetic hybrid nanofluid inside a double-porous medium using two-equation energy model, J. Mol. Liq. 277(2019) 959-970.
[30] M. Ghalambaz, M. Sabour, I. Pop, Free convection in a square cavity filled by a porous medium saturated by a nanofluid:Viscous dissipation and radiation effects, Engineering science and technology, an international journal 19(2016) 1244-1253.
[31] A.V. Kuznetsov, D.A. Nield, The Cheng-Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid:A revised model, Int. J. Heat Mass Transf. 65(2013) 682-685.
[32] D.A. Nield, A. Bejan, Convection in Porous Media, Springer, 2006.
[33] M. Sabour, M. Ghalambaz, Natural convection in a triangular cavity filled with a nanofluid-saturated porous medium using three heat equation model, Can. J. Phys. 94(2016) 604-615.
[34] M. Izadi, G. Hoghoughi, R. Mohebbi, M. Sheremet, Nanoparticle migration and natural convection heat transfer of Cu-water nanofluid inside a porous undulant-wall enclosure using LTNE and two-phase model, J. Mol. Liq. 261(2018) 357-372.
[35] S.A. Mehryan, M. Izadi, A.J. Chamkha, M.A. Sheremet, Natural convection and entropy generation of a ferrofluid in a square enclosure under the effect of a horizontal periodic magnetic field, J. Mol. Liq. 263(2018) 510-525.
[36] S.A. Mehryan, M. Izadi, M.A. Sheremet, Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model, J. Mol. Liq. 250(2018) 353-368.
[37] G. Hoghoughi, M. Izadi, H.F. Oztop, N. Abu-Hamdeh, Effect of geometrical parameters on natural convection in a porous undulant-wall enclosure saturated by a nanofluid using Buongiorno's model, J. Mol. Liq. 255(2018) 148-159.
[38] W.A. Khan, I. Pop, Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transf. 53(2010) 2477-2483.
[39] M. Hassani, M.M. Tabar, H. Nemati, G. Domairry, F. Noori, An analytical solution for boundary layer flow of a nanofluid past a stretching sheet, Int. J. Therm. Sci. 50(2011) 2256-2263.
[40] A. Noghrehabadi, R. Pourrajab, M. Ghalambaz, Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature, Int. J. Therm. Sci. 54(2012) 253-261.
[41] M. Uddin, W.A. Khan, A.I. Ismail, Scaling group transformation for MHD boundary layer slip flow of a nanofluid over a convectively heated stretching sheet with heat generation, Math. Probl. Eng. 2012(2012).
[42] A. Noghrehabadi, M.R. Saffarian, R. Pourrajab, M. Ghalambaz, Entropy analysis for nanofluid flow over a stretching sheet in the presence of heat generation/absorption and partial slip, J. Mech. Sci. Technol. 27(2013) 927-937.
[43] L. Zheng, C. Zhang, X. Zhang, J. Zhang, Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium, Journal of the Franklin Institute 350(2013) 990-1007.
[44] K.-L. Hsiao, Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature, Int. J. Heat Mass Transf. 112(2017) 983-990.
[45] A. Zeeshan, A. Majeed, R. Ellahi, Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation, J. Mol. Liq. 215(2016) 549-554.
[46] A. Sharma, R.G. Shandil, Effect of magnetic field dependent viscosity on ferroconvection in the presence of dust particles, J. Appl. Math. Comput. 27(2008) 7.
[47] L. Wang, Y. Wang, X. Yan, X. Wang, B. Feng, Investigation on viscosity of Fe₃O₄ nanofluid under magnetic field, International Communications in Heat and Mass Transfer 72(2016) 23-28.
[48] P.K. Bharti, D. Sharma, R.C. Sharma, The effect of a magnetic field dependent viscosity on the thermal convection in a ferromagnetic fluid in a porous medium, Zeitschrift für Naturforschung A 59(2004) 397-406.
[49] M. Sheikholeslami, M.M. Rashidi, T. Hayat, D.D. Ganji, Free convection of magnetic nanofluid considering MFD viscosity effect, J. Mol. Liq. 218(2016) 393-399.
[50] J. Buongiorno, Convective transport in nanofluids, J. Heat Transf. 128(2006) 240-250.
[51] A.V. Kuznetsov, The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms, International Communications in Heat and Mass Transfer 37(2010) 1421-1425.
[52] W.N. Mutuku, O.D. Makinde, Hydromagnetic bioconvection of nanofluid over a permeable vertical plate due to gyrotactic microorganisms, Comput. Fluids 95(2014) 88-97.
[53] R.S. Tripathy, G.C. Dash, S.R. Mishra, M.M. Hoque, Numerical analysis of hydromagnetic micropolar fluid along a stretching sheet embedded in porous medium with non-uniform heat source and chemical reaction, Engineering science and technology, an international journal 19(2016) 1573-1581.
[54] M.S. Kandelousi, KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel, Phys. Lett. A 378(2014) 3331-3339.
[55] M. Sheikholeslami, M.M. Bhatti, Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles, Int. J. Heat Mass Transf. 111(2017) 1039-1049.
[56] M. Sheikholeslami, R. Ellahi, M. Hassan, S. Soleimani, A study of natural convection heat transfer in a nanofluid filled enclosure with elliptic inner cylinder, International Journal of Numerical Methods for Heat & Fluid Flow 24(2014) 1906-1927.
[57] H. Hashemi, Z. Namazian, S.A. Mehryan, Cu-water micropolar nanofluid natural convection within a porous enclosure with heat generation, J. Mol. Liq. 236(2017) 48-60.
[58] M. Qasim, I. Khan, S. Shafie, Heat transfer in a micropolar fluid over a stretching sheet with Newtonian heating, PLoS One 8(2013), e59393.
[59] M.Z. Salleh, R. Nazar, I. Pop, Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating, J. Taiwan Inst. Chem. Eng. 41(2010) 651-655.
[60] K. Raslan, S. Mohamadain, M. Abdel-wahed, E. Abedel-aal, MHD steady/unsteady porous boundary layer of Cu-water nanofluid with micropolar effect over a permeable surface, Appl. Sci. 8(2018) 736.

Hydrodynamic and heat transfer properties of magnetic fluid in porous medium considering nanoparticle shapes and magnetic field-dependent viscosity

Hydrodynamic and heat transfer properties of magnetic fluid in porous medium considering nanoparticle shapes and magnetic field-dependent viscosity

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