Abstract
In the present study, the laminar forced convection heat transfer improvement and pressure loss of magnetite \(\hbox {Fe}_{3}\hbox {O}_{4}\)/water nanofluid flowing through a porous metal foam tube have been studied experimentally. To reach this goal, the magnetite \(\hbox {Fe}_{3}\hbox {O}_{4}\) nanoparticles with 30 nm diameter are synthesized. The investigation of the effect of nanoparticle weight fraction and Reynolds number on the convection heat transfer and pressure drop characteristics are two objectives of this work. The experimental observations reveal that the increment of nanoparticle weight fraction and Reynolds number improves the Nusselt number. Furthermore, the Nusselt number enhancement is more pronounced for the high Reynolds numbers due to the addition of nanoparticles. By dispersing 1% weight fraction of magnetite nanoparticles inside DI-water, 7.4 and 11.7% heat transfer enhancements are achieved at \(Re = 200\) and 1000, respectively. A slight increase in magnetite \(\hbox {Fe}_{3}\hbox {O}_{4}\) nanofluid pressure drop is observed rather than that of DI-water due to the increment of nanofluid viscosity by nanoparticle dispersion inside the water. A performance index is proposed to consider the effects of Nusselt number enhancement and pressure drop simultaneously. It is shown that the performance index is higher than unity at all conditions in this study. Therefore, the convection heat transfer improvement dominates the pressure loss. A novel correlation is derived and presented based on the experiments to predict the Nusselt number.
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Abbreviations
- D :
-
Diameter (m)
- L :
-
Tube length (m)
- x :
-
Axial distance from the tube entrance (m)
- \({q}^{\prime \prime }\) :
-
Heat flux (w/m\(^{2}\))
- Q :
-
Heat transfer rate (W)
- \(\dot{m}\) :
-
Mass flow rate (kg/s)
- P :
-
Pressure (kPa)
- v :
-
Velocity (m/s)
- T :
-
Temperature (\({^{\circ }}\)C)
- k :
-
Thermal conductivity (W/m K)
- \(C_\mathrm{p}\) :
-
Specific heat (J/kg K)
- h :
-
Convective heat transfer coefficient (W/m\(^{2}\) K)
- V :
-
Voltage (V)
- I :
-
Current (A)
- f :
-
Friction factor
- PPI:
-
Pore per inch
- Re :
-
Reynolds number
- Pr :
-
Prandtl number
- Nu :
-
Nusselt number
- \(\varphi \) :
-
Nanoparticle fraction (%)
- \(\rho \) :
-
Density (kg/m\(^{3}\))
- \(\mu \) :
-
Dynamic viscosity (pa.s)
- \(\varepsilon \) :
-
Porosity
- \(\eta \) :
-
Performance index
- m:
-
Bulk of fluid
- s:
-
Surface, solid
- nf:
-
Nanofluid
- f:
-
Base fluid
- p:
-
Particle
- w:
-
Water
- eff:
-
Effective
References
Alimohamadi, H., Dehghan-Niri, V., Sarmadi, P., Ashjaee, M.: Improvement of heat transfer performances of biomangnetic flow in a rectangular duct under different types of magnetic fields. Int. J. Technol. Enhanc. Emerg. Eng. Res. 2, 44–48 (2014)
Alveroğlu, E., Sözeri, H., Baykal, A., Kurtan, U., Şenel, M.: Fluorescence and magnetic properties of hydrogels containing Fe\(_3\)O\(_4\) nanoparticles. J. Mol. Struct. 1037, 361–366 (2013)
Azmi, W.H., Sharma, K.V., Sarma, P.K., Mamat, R., Anuar, S., Dharma Rao, V.: Experimental determination of turbulent forced convection heat transfer and friction factor with SiO\(_2\) nanofluid. Exp. Therm. Fluid Sci. 51, 103–111 (2013)
Bağcı, Ö., Dukhan, N., Kavurmacıoğlu, L.A.: Forced-convection measurements in the fully developed and exit regions of open-cell metal foam. Transp. Porous Media 109, 513–526 (2015)
Bhadauria, B.S., Agarwal, S.: Convective transport in a nanofluid saturated porous layer with thermal non equilibrium model. Transp. Porous Media 88, 107–131 (2011)
Bhattacharya, A., Calmidi, V.V., Mahajan, R.L.: Thermophysical properties of high porosity metal foams. Int. J. Heat Mass Transf. 45, 1017–1031 (2002)
Brinkman, H.C.: The viscosity of concentrated suspensions and solutions. J. Chem. Phys. 20, 571 (1952)
Buonomo, B., Manca, O., Lauriat, G.: Forced convection in micro-channels filled with porous media in local thermal non-equilibrium conditions. Int. J. Therm. Sci. 77, 206–222 (2014)
Calmidi, V., Mahajan, R.: Forced convection in high porosity metal foams. J. Heat Transf. 122, 557–565 (2000)
Demir, A., Baykal, A., Sözeri, H., Topkaya, R.: Low temperature magnetic investigation of Fe\(_3\)O\(_4\) nanoparticles filled into multiwalled carbon nanotubes. Synth. Met. 187, 75–80 (2014)
Dukhan, N., Ali, M.: Strong wall and transverse size effects on pressure drop of flow through open-cell metal foam. Int. J. Therm. Sci. 57, 85–91 (2012b)
Dukhan, N., Ali, M.: Effect of confining wall on properties of gas flow through metal foam: an experimental study. Transp. Porous Media 91, 225–237 (2012a)
Esmaeilzadeh, E., Almohammadi, H., Nasiri Vatan, S., Omrani, A.N.: Experimental investigation of hydrodynamics and heat transfer characteristics of \(\gamma \)-Al\(_2\)O\(_3\)/water under laminar flow inside a horizontal tube. Int. J. Therm. Sci. 63, 31–37 (2013)
Fotukian, S., Esfahany, M.: Experimental study of turbulent convective heat transfer and pressure drop of dilute CuO/water nanofluid inside a circular tube. Commun. Heat Mass Transf. 37, 214–219 (2010)
Ghaziani, N.O., Hassanipour, F.: Experimental analysis of nanofluid slurry through rectangular porous channel. In: ASME 2012 International Mechanical Engineering Congress and Exposition (pp. 713–720) (2012)
Hajipour, M., Molaei Dehkordi, A.: Mixed-convection flow of Al\(_2\)O\(_3\)–H\(_2\)O nanofluid in a channel partially filled with porous metal foam: experimental and numerical study. Exp. Therm. Fluid Sci. 53, 49–56 (2014)
Heris, S.Z., Etemad, S.G., Esfahany, M.N.: Experimental investigation of oxide nanofluids laminar flow convective heat transfer. Int. Commun. Heat Mass Transf. 33, 529–535 (2006)
Heyhat, M.M., Kowsary, F., Rashidi, A.M., Alem Varzane Esfehani, S., Amrollahi, A.: Experimental investigation of turbulent flow and convective heat transfer characteristics of alumina water nanofluids in fully developed flow regime. Int. Commun. Heat Mass Transf. 39, 1272–1278 (2012)
Hwang, K.S., Jang, S.P., Choi, S.U.S.: Flow and convective heat transfer characteristics of water-based Al\(_2\)O\(_3\) nanofluids in fully developed laminar flow regime. Int. J. Heat Mass Transf. 52, 193–199 (2009)
Kasaeian, A.: Convection heat transfer modeling of Ag nanofluid using different viscosity theories. IIUM Eng. J. 13, 1–11 (2012)
Kasaeian, A., Nasiri, S.: Convection heat transfer modeling of nano-fluid Tio\(_2\) using different viscosity theories. Int. J. Nanosci. Nanotechnol. 11, 45–51 (2015)
Kuznetsov, A.V., Nield, D.A.: Effect of local thermal non-equilibrium on the onset of convection in a porous medium layer saturated by a nanofluid. Transp. Porous Media 83, 425–436 (2010)
Maghrebi, M.J., Nazari, M., Armaghani, T.: Forced convection heat transfer of nanofluids in a porous channel. Transp. Porous Media 93, 401–413 (2012)
Mahdavi, M., Saffar-Avval, M., Tiari, S., Mansoori, Z.: Entropy generation and heat transfer numerical analysis in pipes partially filled with porous medium. Int. J. Heat Mass Transf. 79, 496–506 (2014)
Nazar, R., Tham, L., Pop, I., Ingham, D.B.: Mixed convection boundary layer flow from a horizontal circular cylinder embedded in a porous medium filled with a nanofluid. Transp. Porous Media 86, 517–536 (2011)
Nazari, M., Ashouri, M., Kayhani, M.H., Tamayol, A.: Experimental study of convective heat transfer of a nanofluid through a pipe filled with metal foam. Int. J. Therm. Sci. 88, 33–39 (2015)
Popa, C., Kasaeian, A., Nasiri, S.: Natural convection heat and mass transfer modeling for Cu/water and CuO/water nanofluids. Adv. Mech. Eng. 5, 863935 (2013)
Roşca, A.V., Roşca, N.C., Pop, I.: Mixed convection heat and mass transfer from a vertical surface embedded in a porous medium. Transp. Porous Media 109, 279–295 (2015)
Salas, K.I., Waas, A.M.: Convective heat transfer in open cell metal foams. J. Heat Transf. 129, 1217–1229 (2007)
Shah, R., London, A.: Laminar flow forced convection in ducts. Academic Press, New York (1978)
Sundar, L.S., Naik, M.T., Sharma, K.V., Singh, M.K., Siva, T.C.: Experimental investigation of forced convection heat transfer and friction factor in a tube with Fe\(_3\)O\(_4\) magnetic nanofluid. Exp. Therm. Fluid Sci. 37, 65–71 (2012)
Teamah, M.A.: Effect of Reynolds and Prandtl numbers on laminar forced convection in horizontal pipe partially filled with porous material effect of reynolds and prandtl numbers on laminar forced convection in horizontal pipe partially filled with porous material. Eur. J. Sci. Res. 66, 171–186 (2011)
Torabi, M., Zhang, K., Yang, G., Wang, J., Wu, P.: Heat transfer and entropy generation analyses in a channel partially filled with porous media using local thermal non-equilibrium model. Energy 82, 922–938 (2015)
Venugopal, G., Balaji, C., Venkateshan, S.P.: Experimental study of mixed convection heat transfer in a vertical duct filled with metallic porous structures. Int. J. Therm. Sci. 49, 340–348 (2010)
Webb, R., Kim, N.: Principles of enhanced heat transfer. Taylor Fr. New York, NY (2004)
Wen, D., Ding, Y.: Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions. Int. J. Heat Mass Transf. 47, 5181–5188 (2004)
Williams, W., Forrest, E., Hu, L., Buongiorno, J.: Preparation and Characterization of Water-Based Nano-Fluids for Nuclear Applications. American Nuclear Society, La Grange Park (2006)
Yang, C., Ando, K., Nakayama, A.: A local thermal non-equilibrium analysis of fully developed forced convective flow in a tube filled with a porous medium. Transp. Porous Media 89, 237–249 (2011)
Yu, W., Choi, S.: The role of interfacial layers in the enhanced thermal conductivity of nanofluids: a renovated Maxwell model. J. Nanopart. Res. 5, 167–171 (2003)
Zhao, C., Hodson, H., Kim, T., Lu, T.: Thermal transport in high porosity cellular metal foams. J. Thermophys. Heat Transf. 18, 309–317 (2004)
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Amani, M., Ameri, M. & Kasaeian, A. The Experimental Study of Convection Heat Transfer Characteristics and Pressure Drop of Magnetite Nanofluid in a Porous Metal Foam Tube. Transp Porous Med 116, 959–974 (2017). https://doi.org/10.1007/s11242-016-0808-6
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DOI: https://doi.org/10.1007/s11242-016-0808-6