# CONSEQUENCES OF CONVECTION-RADIATON INTERACTION FOR MAGNETITE-WATER NANOFLUID FLOW DUE TO A MOVING PLATE

## Main Article Content

## Abstract

Present paper examines the boundary layer flow of magnetic nanofluid over a radiative plate moving in a uniform parallel free stream. Water is considered as the base fluid which is being filled with magnetite-Fe_{3}O_{4} nanoparticles. Energy balance equation is formulated with non-linear radiation heat flux. Mathematical analysis is carried out through the famous Tiwari and Das model. Similarity approach is utilized to construct self-similar form of the governing differential system. Numerical computations are made through standard shooting method. Ferrofluid velocity is predicted to enhance upon increasing the nanoparticle volume fraction which contradicts with the available literature for non-magnetic nanofluids. It is found that Fe_{3}O_{4}-water ferrofluid has superior heat transfer coefficient than pure water. Results reveal that consideration of magnetic nanoparticles in water leads to better absorption of incident solar radiations. The well-known Blasius and Sakiadis flows are also explicitly analyzed from the present model.

## Article Details

**Thermal Science**, [S.l.], mar. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/2238>. Date accessed: 26 june 2017. doi: https://doi.org/10.2298/TSCI151128212M.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright of the published article and have the right to use the article in the ways permitted to third parties under the - Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence. Full bibliographic information (authors, article title, journal title, volume, issue, pages) about the original publication must be provided and a link must be made to the article's DOI.

The authors and third parties who wish use the article in a way not covered by the the -Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International (CC BY-NC-ND) licence must obtain a written consent of the publisher. This license allows others to download the paper and share it with others as long as they credit the journal, but they cannot change it in any way or use it commercially.

Authors grant to the publisher the right to publish the article, to be cited as its original publisher in case of reuse, and to distribute it in all forms and media.

Accepted 2017-03-13

Published 2017-03-13

## References

[2] R. Saidur, K. Y. Leong and H. A. Mohammed, A review on applications and challenges of nanofluids, Renew. Sust. Ener. Rev. 15 (2011) 1646-1668.

[3] R. Saidur, S. N. Kazi, M. S. Hossain, M. M. Rahman and H. A. Mohammed, A review on the performance of nanoparticles suspended with refrigerants and lubricating oils in refrigeration systems, Renew. Sust. Ener. Rev. 15 (2011) 310-323.

[4] O. Mahian, A. Kianifar, S. A. Kalogirou, I. Pop and S. Wongwises, A review of the applications of nanofluids in solar energy, Int. J. Heat Mass Transf. 57 (2013) 582-594.

[5] A. Kasaeian, A. T. Eshghi and M. Sameti, A review on the applications of nanofluids in solar energy systems, Renew. Sust. Ener. Rev. 43 (2015) 584-598.

[6] D. A. Nield and A. V. Kuznetsov, Thermal instability in a porous medium layer saturated by a nanofluid: A revised model, Int. J. Heat Mass Transf. 68 (2014) 211-214.

[7] A. V. Kuznetsov and D. A. Nield, Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model, Int. J. Therm. Sci. 77 (2014) 126-129.

[8] M. Turkyilmazoglu, Nanofluid flow and heat transfer due to a rotating disk, Comp. Fluids 94 (2014) 139-146.

[9] M. M. Rashidi, S. Abelman and N. F. Mehr, Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid, Int. J. Heat Mass Transf. 62 (2013) 515-525.

[10] M. Sheikholeslami, F. B. Sheykholeslami, S. Khoshhal, H. Mole-Abasia, D. D. Ganji and H. B. Rokni, Effect of magnetic field on Cu–water nanofluid heat transfer using GMDH-type neural network, Neural Comput. Appl. 25 (2014) 171 -178.

[11] A. Malvandi and D. D. Ganji, Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in a channel, J. Magnet. Magn. Mater. 362 (2014) 172-179.

[12] A. Mushtaq, M. Mustafa, T. Hayat and A. Alsaedi, Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: A numerical study, J. Taiwan Inst. Chem. Eng. 45 (2014) 1176-1183.

[13] M. M. Rashidi, N. Freidoonimehr, A. Hosseini, O. A. Bég and T. K. Hung, Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration, Meccan. 49 (2014) 469-482.

[14] D. A. Nield and A. V. Kuznetsov, Forced convection in a parallel-plate channel occupied by a nanofluid or a porous medium saturated by a nanofluid, Int. J. Heat Mass Transf. 70 (2014) 430-433.

[15] M. Mustafa and J. A. Khan, Model for flow of Cassonnanofluid past a non-linearly stretching sheet considering magnetic field effects, AIP Adv. doi: 10. 1063/1.4927449.

[16] J. A. Khan, M. Mustafa, T. Hayat and A. Alsaedi, Three-dimensional flow of nanofluid over a non-linearly stretching sheet: An application to solar energy, Int. J. Heat Mass Transf. 86 (2015) 158-164.

[17] J. A. Khan, M. Mustafa, T. Hayat, M. Sheikholeslami and A. Alsaedi, Three-dimensional flow of nanofluid induced by an exponentially stretching sheet: An application to solar energy, PLoS ONE 10 (2015) doi:10.1371/journal.pone.0116603.

[18] M. Mustafa, J. A. Khan, T. Hayat and A. Alsaedi, On Bödewadt flow and heat transfer of nanofluids over a stretching stationary disk. J. Mol. Liq. 211 (2015) 119-125.

[19] I. Sharifi, H. Shokrollahi and S. Amiri, Ferrite based magnetic nanofluids used in hyperthermia applications, J. Magnet. Magn. Mater. 324 (2011) 903-915.

[20] H. Aminfar, M. Mohammadpourfard and F. Mohseni, Two-phase mixture model simulation of the hydro-thermal behavior of an electrical conductive ferrofluid in the presence of magnetic fields, J. Magn. Magn. Mater. 324 (2012) 830–842.

[21] F. Selimefendigil and H. F. Oztop, Effect of a rotating cylinder in forced convection of ferrofluid over a backward facing step, Int. J. Heat Mass Transf. 71 (2014) 142–148.

[22] M. Sheikholeslami, M. Gorji-Bandpy, R. Ellahi and A. Zeeshan, Simulation of MHD CuO–water nanofluid flow and convective heat transfer considering Lorentz forces, J. Magn. Magn. Mater. 369 (2014) 69–80

[23] A. Malvandi and D. D. Ganji, Magnetic field effect on nanoparticles migration and heat transfer of water/alumina nanofluid in a channel, J. Magn. Magn. Mater. 362 (2014) 172- 179.

[24] X. Zhang and H. Huang, Effect of magnetic obstacle on fluid flow and heat transfer in a rectangular duct, Int. Commun. Heat Mass Transf. 51 (2014) 31–38.

[25] A. Rapits and C. Perdikis, Viscoelastic flow by the presence of radiation, ZAMP 78 (1998) 277–279.

[26] M. A. Seddeek, Effects of radiation and variable viscosity on MHD free convection flow past a semi infinite flat plate with an aligned magnetic field in the case of unsteady flow, Int. J. Heat Mass Transf. 45 (2002) 931–935.

[27] A. Pantokratoras and T. Fang, Blasius flow with non-linear Rosseland thermal radiation, Meccan. 49 (2014) 1539-1545.

[28] A. Mushtaq, M. Mustafa, T. Hayat and A. Alsaedi, On the numerical solution of the nonlinear radiation heat transfer in a three-dimensional flow, Z. Naturforsch. 69a (2014) 705-713.

[29] A. Pantokratoras, Natural convection along a vertical isothermal plate with linear and non-linear Rosseland thermal radiation, Int. J. Therm. Sci. 84 (2014) 51-57.

[30] M. Mustafa, A. Mushtaq, T. Hayat and A. Alsaedi, Radiation effects in three-dimensional flow over a bi-directional exponentially stretching sheet, J. Taiwan Inst. Chem. Eng. 47 (2015) 43-49.

[31] M. Mustafa, A. Mushtaq, T. Hayat and A. Alsaedi, Model to study the non-linear radiation heat transfer in the stagnation-point flow of power-law fluid, Int. J. Num. Meth. Heat & Fluid Flow 25 (2015) 1107-1119.

[32] J. C. Maxwell, A treatise on electricity and magnetism, 2nd Ed. Cambridge: Oxford University Press; 1904. pp. 435-41.