Analytical study of Al2O3-Cu/water micropolar hybrid nanofluid in a porous channel with expanding/contracting walls in the presence of magnetic field

Document Type : Article

Authors

Mechanical Engineering Department, University of Kashan, Kashan, Iran

Abstract

Forced convection fluid flow and heat transfer is investigated in a porous channel with expanding or contracting walls with which is filled Al2O3-Cu/water micropolar hybrid nanofluid in the presence of magnetic field. In order to solve the governing equations analytically, the least square method is employed. The hot bottom wall is cooled by the coolant fluid which is injected into the channel from the top wall. The range of nanoparticles volume fraction (90% Al2O3 and 10% Cu by volume) is between 0% and 2%. The effects of consequential parameters such as Reynolds number, Hartmann number, micro rotation factor and nanoparticles volume fraction on velocity and temperature profiles are examined. The results show that with increasing Reynolds number, the values of temperature and micro rotation profiles decrease. Furthermore, when the hybrid nanofluid is used compared to common nanofluid, the heat transfer coefficient will increase significantly. It is also observed that when the Hartmann number increases, Nusselt number increases, too.

Keywords

Main Subjects


References
1. Aziz, A. and Bouaziz, M.N. \A least square method for a longitudinal n with tempreture dependent internal M. Mollamahdi et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 208{220 219 heat generation and thermal conductivity", Energy
Convers. Manage., 52(8-9), pp. 2876-2882 (2011).

2. Hatami, M. and Ganji, D.D. \Thermal and  flow analysis of microchannel heat sink (MCHS) cooled by Cu-water nano fl uid using porous media approach and least square method", Energy Convers. Manage., 78, pp. 347-358 (2014).
3. Hatami, M. and Ganji, D.D. \Natural convection of
sodium alginate (SA) non-Newtonian nanofluid  flow between two vertical  at plates by analytical and
numerical methods", Case Studies in Thermal Engineering,
2, pp. 14-22 (2014).
4. Ghasemi, S.E., Hatami, M., Mehdizadeh Ahangar,
GH.R. and Ganji, D.D. \Electrohydrodynamic
ow
analysis in a circular cylindrical conduit using least
square method", Journal of Electrostatics, 72, pp. 47-
52 (2014).
5. Hatami, M., Sheikholeslami, M., Hosseini, M.
and Ganji, D.D. \Analytical investigation of MHD
nano
uid
ow in non-parallel walls", J. Mol. Liq., 194,
pp. 251-259 (2014).
6. Fakour, M., Ganji, D.D. and Abbasi, M. \Scrutiny of
underdeveloped nano
uid MHD
ow and heat conduction
in a channel with porous walls", Case Studies in
Thermal Engineering, 4, pp. 202-214 (2014).
7. Fakour, M., Vahabzadeh, A. and Ganji, D.D. \Study
of heat transfer and
ow of nano
uid in permeable
channel in the presence of magnetic eld", Propulsion
and Power Research, 4, pp. 50-62 (2015).
8. Darzi, M., Vatani, M., Ghasemi, S.E. and Ganji
D.D. \E ect of thermal radiation on velocity and
temperature elds of a thin liquid lm over a stretching
sheet in a porous medium", Phys. J. Plus, 130(5), pp.
89-100 (2015).
9. Abbaszadeh, M., Ababaei, A., Abbasian Arani, A.A.
and Abbasi Sharifabadi, A. \MHD forced convection
and entropy generation of CuO-water nano
uid in a
microchannel considering slip velocity and temperature
jump", J. Braz. Soc. Mech. Sci. Eng., 36(9), pp.
775-790 (2016).
10. Sheikhzadeh, G., Aghaei, A., Ehteram, H. and Abbaszadeh,
M. \Analytical study of parameters a ecting
entropy generation of nano
uid turbulent
ow in
channel and micro-channel", Thermal Sci., 20(6), pp.
2037-2050 (2016).
11. Sheikhzadeh, G., Ghasemi, H. and Abbaszadeh,
M. \Investigation of natural convection boundary
layer heat and mass transfer of MHD water-AL2O3
nano
uid in a porous medium", International Journal
of Nano Studies & Technology (IJNST), 5, pp. 110-122
(2016).
12. Rahmati, A., Roknabadi, A.R. and Abbaszadeh, M.
\Numerical simulation of mixed convection heat transfer
of nano
uid in a double lid-driven cavity using
lattice Boltzmann method", Alexandria Engineering
Journal, 55(4), pp. 3101-3114 (2016).
13. Wang, X., Xu, X. and Choi, S. \Thermal conductivity
of nanoparticle-
uid mixture", J. Thermophys Heat
Transfer., 13, pp. 474-480 (1999).
14. Selvakumar, P. and Suresh, S. \Use of Al2O3-Cu/water
hybrid nano
uid in an electronic heat sink, components",
Packaging and Manufacturing Technology, 2,
pp. 1600-1607 (2012).
15. Madhesh, D., Parameshwaran, R. and Kalaiselvam, S.
\Experimental investigation on convective heat transfer
and rheological characteristics of Cu-TiO2 hybrid
nano
uids", Exp. Therm Fluid Sci., 52, pp. 104-115
(2014).
16. Esfe, M.H., Abbasian Arani, A.A., Rezaie, M., Yan,
W. and Karimipour, A. \Experimental determination
of thermal conductivity and dynamic viscosity of Ag-
MgO/water hybrid nano
uid", International Communications
in Heat and Mass Transfer, 66, pp. 189-195
(2015).
17. Ho, C.J., Huang, J.B., Tsai, P.S. and Yang, Y.M.
\Preparation and properties of hybrid water-based suspension
of Al2O3 nanoparticles and MEPCM particles
as functional forced convection
uid", International
Communications in Heat and Mass Transfer, 37, pp.
490-494 (2010).
18. Suresh, S., Venkitaraj, K.P., Selvakumar, P. and Chandrasekar,
M. \Synthesis of Al2O3-Cu/water hybrid
nano
uids using two step method and its thermo
physical properties", Colloids and Surfaces A: Physicochemical
and Engineering Aspects, 388, pp. 41-48
(2011).
19. Suresh, S., Venkitaraj, K.P., Selvakumar, P. and
Chandrasekar, M. \E ect of Al2O3-Cu/water hybrid
nano
uid in heat transfer", Exp. Therm Fluid Sci., 38,
pp. 54-60 (2012).
20. Abbasia, S.M., Rashidib, A., Nematia, A. and Arzania,
K. \The e ect of functionalisation method on the
stability and the thermal conductivity of nano
uid hybrids
of carbon nanotubes/gamma alumina", Ceram.
Int., 39, pp. 3885-3891 (2013).
21. Balla, H., Abdullah, S., MohdFaizal, W., Zulki
i, R.
and Sopian, K. \Numerical study of the enhancement
of heat transfer for hybrid CuO-Cu nano
uids
owing
in a circular pipe", Journal of Oleo Science, 62, pp.
533-539 (2013).
22. Takabi, B. and Salehi, S. \Augmentation of the heat
transfer performance of a sinusoidal corrugated enclosure
by employing hybrid nano
uid", Advances in
Mechanical Engineering, 6, pp. 1459-1470 (2014).
23. Moghadassi, A., Ghomi, E. and Parvazian, F. \A
numerical study of water based Al2O3 and Al2O3-
Cu hybrid nano
uid e ect on forced convective heat
transfer", Int. J. Therm. Sci., 92, pp. 50-57 (2015).
24. Mollamahdi, M., Abbaszadeh, M. and Sheikhzadeh,
G.A. \Flow eld and heat transfer in a channel with a
permeable wall lled with Al2O3-Cu/water micropolar
hybrid nano
uid, e ects of chemical reaction and
magnetic eld", Journal of Heat and Mass Transfer
Research, 3(2), pp. 101-114 (2016).
220 M. Mollamahdi et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 208{220
25. Eringen, A.C., Journal of Mathematical Analysis and
Applications, 16, pp. 1-18 (1966).
26. Nadeem, S., Rehman, A., Vajravelu, K., Lee, J. and
Lee, C. \Axisymmetric stagnation
ow of a micropolar
nano
uid in a moving cylinder", Hindawi Publishing
Corporation, Mathematical Problems in Engineering
(2012).
27. Si, X., Zheng, L., Lin, P., Zhang, X. and Zhang, Y.
\Flow and heat transfer of a micropolar
uid in a
porous channel with expanding or contracting walls",
Int. J. Heat. Mass. Tran., 67, pp. 885-895 (2013).
28. Bourantas, G.C. and Loukopoulos, V.C. \Modeling the
natural convective
ow of micropolar nano
uids", Int.
J. Heat. Mass. Tran., 68, pp. 35-41(2014).
29. Sheikholeslami, M., Ashorynejad, H.R., Ganji, D.D.
and Rashidi, M.M. \Heat and mass transfer of a micropolar

uid in a porous channel", Communications
in Numerical Analysis, pp. 1-20 (2014).
30. Cao, L., Si, X. and Zheng, L. \The
ow of a micropolar

uid through a porous expanding channel: A Lie
group analysis", Applied Mathematics and Computation,
270, pp. 242-250 (2015).
31. Das, S.K., Choi, S.U.S., Yu, W. and Predeep, T.,
Nano
uids Science and Technology, John Wiley &
Sons (2008).
32. Nimmagadda, R. and Venkatasubbaiah, K. \Conjugate
heat transfer analysis of micro-channel using novel
hybrid nano
uids", European Journal of Mechanics-
B/Fluids, 52, pp. 19-27 (2015).
33. Xuan, Y. and Roetzel, W. \Conceptions for heat
transfer correlations of nano
uids", Int. J Heat. Mass.
Tran., 43, pp. 3701-3707 (2000).
34. Aghaei, A., Khorasanizadeh, H., Sheikhzadeh, G. and
Abbaszadeh, M. \Numerical study of magnetic eld on
mixed convection and entropy generation of nano
uid
in a trapezoidal enclosure", J. Magn. Magn. Mater.,
403, pp. 133-145 (2016).
35. Sheikholeslami, M., Hatami, M. and Ganji, D.D.
\Analytical investigation of MHD nano
uid
ow in a
semi-porous channel", Powder Technol., 246, pp. 327-
336 (2013).
36. Zhang, C., Zheng, L., Zhang, X. and Chen, G. \MHD

ow and radiation heat transfer of nano
uids in porous
media with variable surface heat
ux and chemical
reaction", Applied Mathematical Modeling, 39(1), pp.
165-181 (2015).
37. Sheikholeslami, M., Hatami, M. and Ganji, D.D.
\Micropolar
uid
ow and heat transfer in a permeable
channel using analytical method", J. Mol. Liq., 194,
pp. 30-36 (2014).
38. Majdalani, J., Zhou, Zamm. C. and Angew, Z., Math.
Mech., 83, pp. 181-196 (2003).
39. Aziz, A., Heat Conduction with Maple, Philadelphia
(PA): RT Edwards (2006).
40. Maxwell, J.C., A Treatise on Electricity and Magnetism
(1881).
41. Brinkman, H.C. \The viscosity of concentrated suspensions
and solutions", The Journal of Chemical al
Physic, 20, p. 571 (1952).
42. Arefmanesh, A. and Mahmoodi, M. \E ects of uncertainties
of viscosity models for Al2O3-water nano
uid
on mixed convection numerical simulations", Int. J.
Therm. Sci., 50, pp. 1706-1719 (2011).