Browse > Article
http://dx.doi.org/10.12941/jksiam.2017.21.225

A NUMERICAL STUDY ON MHD NATURAL CONVECTIVE HEAT TRANSFER IN AN AG-WATER NANOFLUID FILLED ENCLOSURE WITH CENTER HEATER  

NITHYADEVI, N. (DEPARTMENT OF MATHEMATICS, BHARATHIAR UNIVERSITY)
MAHALAKSHMI, T. (DEPARTMENT OF MATHEMATICS, BHARATHIAR UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.21, no.4, 2017 , pp. 225-244 More about this Journal
Abstract
The natural convective nanofluid flow and heat transfer inside a square enclosure with a center heater in the presence of magnetic field has been studied numerically. The vertical walls of the enclosure are cold and the top wall is adiabatic while the bottom wall is considered with constant heat source. The governing differential equations are solved by using a finite volume method based on SIMPLE algorithm. The parametric study is performed to analyze the effect of different lengths of center heater, Hartmann numbers and Rayleigh numbers. The heater effectiveness and temperature distribution are examined. The effect of all pertinent parameters on streamlines, isotherms, velocity profiles and average Nusselt numbers are presented. It is found that heat transfer increases with the increase of heater length, whereas it decreases with the increase of magnetic field effect. Furthermore, it is found that the value of Nusselt number depends strongly upon the Hartmann number for the increasing values of Rayleigh number.
Keywords
finite volume method; heat source; isothermal heater; magnetic field; nanofluid flow; natural convection;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 S. Ostrach, Natural convection in enclosures, ASME J. Heat Transfer, 110 (1988) 1175-1190.   DOI
2 H. Turkoglu and N. Yucel, Effect of heater and cooler locations on natural convection in square cavities, Numer. Heat Transfer, Part A, 27 (1995) 351-358.   DOI
3 J.H. Bae and J.M. Hyun, Time-dependent buoyant convection in an enclosure with discrete heat sources, Int. J. Therm. Sci., 43 (2004) 3-11.   DOI
4 M.A.R. Sharif and T.R. Mohammad, Natural convection in cavities with constant flux heating at the bottom wall and isothermal cooling from the sidewalls, Int. J. Therm. Sci., 44 (2005) 865-878.   DOI
5 B. Calcagni, F. Marsili and M. Paroncini, Natural convective heat transfer in square enclosures heated from below, Appl. Therm. Eng., 25 (2005) 2522-2531.   DOI
6 A.K. Sharma, K. Velusamy and C. Balaji, Turbulent natural convection in an enclosure with localized heating from below, Int. J. Therm. Sci., 46 (2007) 1232-1241.   DOI
7 Y.S. Sun and A.F. Emery, Effects of wall conduction, internal heat sources and an internal baffle on natural convection heat transfer in a rectangular enclosure, Int. J. Heat Mass Transfer, 40 (1997) 915-929.   DOI
8 H.F. Oztop, I. Dagtekin and A. Bahloul, Comparison of position of a heated thin plate located in a cavity for natural convection, Int. Comm. Heat Mass Transfer, 31 (2004) 121-132.   DOI
9 A. Ben-Nakhi and A.J. Chamkha, Effect of length and inclination of a thin fin on natural convection in a square enclosure, Numer. Heat Transfer, Part A, 50 (2006) 381-399.   DOI
10 A.H. Mahmoudi, M. Shahi, A.H. Raouf and A. Ghasemian, Numerical study of natural convection cooling of horizontal heat source mounted in a square cavity filled with nanofluid, Int. Commun. Heat Mass Transfer, 37 (2010) 1135-1141.   DOI
11 P. Stefanizzi, A. Lippolis and S. Liuzzi, Experimental and Numerical Analysis of Heat Transfer in the Cavities of Hollow Blocks, Int. J. Heat Technology, 31 (2013) 149-154.   DOI
12 S. Jani, M. Mahmoodi, M. Amini and J.E. Jam, Numerical investigation of natural convection heat transfer in a symmetrically cooled square cavity with a thin fin on its bottom wall, Therm. Sci., 18 (2014) 1119-1132.   DOI
13 N. Nithyadevi and P. Umadevi, Natural convection around a heat conducting and generating solid body inside a square enclosure with different thermal boundaries, J. KSIAM, 19 (2015) 459-479.
14 Ohk, Seung-Min, Chung and Bum-Jin, Influence of the Geometry on the Natural Convection Heat Transfer inside a Vertical Cylinder, Journal of Energy Engineering, 24 (2015) 97-103.
15 A. Elatar, M.A. Teamah and M.A. Hassab, Numerical study of laminar natural convection inside square enclosure with single horizontal fin, Int. J. Therm. Sci., 99 (2016) 41-51.   DOI
16 K. Kalidasan and P. Rajesh Kanna, Natural convection on an open square cavity containing diagonally placed heaters and adiabatic square block and filled with hybrid nanofluid of nanodiamond-cobalt oxide/water, Int. Comm. Heat Mass Transfer, 81 (2017) 64-71.   DOI
17 M.H. Esfe, A.A.A. Arani, T. Azizi, S.H. Mousavi and S. Wongwises, Numerical study of laminar-forced convection of $Al_2O_3$-water nanofluids between two parallel plates, J. Mech. Sci. Tech., 31 (2017) 785-796.   DOI
18 G. Saha, Finite element simulation of magneto convection inside a sinusoidal corrugated enclosure with discrete isoflux heating from below, Int. Commun. Heat Mass Transfer, 37 (2010) 393-400.   DOI
19 M. Pirmohammadi and M. Ghassemi, Effect of magnetic field on convection heat transfer inside a tilted square enclosure, Int. Commun. Heat Mass Transfer, 36 (2009) 776-780.   DOI
20 D.C. Lo, High-resolution simulations of magneto hydrodynamic free convection in an enclosure with a transverse magnetic field using a velocity-vorticity formulation, Int. Commun. Heat Mass Transfer, 37 (2010) 514-523.   DOI
21 G. Subbarayalu and S.Velappan, Magneto convection in tilted square cavity with differentially thermally active vertical walls, J. Math. Statist., 7 (2011) 149-156.   DOI
22 E. Sourtiji and S.F. Hosseinizadeh, Heat transfer augmentation of magneto hydrodynamics natural convection in L-shaped cavities utilizing nanofluids, Therm. Sci., 16 (2012) 489-501.   DOI
23 Y. Bakhshan and H. Ashoori, Analysis of a fluid behavior in a rectangular enclosure under the effect of magnetic field, Int. J. Mech. Aerospace Eng., 6 (2012) 161-165.
24 A.M.J. Al-Zamily, Effect of magnetic field on natural convection in a nanofluid filled semi-circular enclosure with heat flux source, Comput. Fluids, 103 (2014) 71-85.   DOI
25 M.B. Ben Hamida and K. Charrada, Natural convection heat transfer in an enclosure filled with an ethylene glycol-copper nanofluid under magnetic fields, Numer. Heat Transfer, 67 (2015) 902-920.   DOI
26 K. Javaherdeh, M.Moslemi and M. Shahbazi, Natural convection of nanofluid in a wavy cavity in the presence of magnetic field on variable heat surface temperature, J. Mech. Sci. Tech., 31 (2017) 1937-1945.   DOI
27 S.M. Aminossadati and B. Ghasemi, Natural convection cooling of a localized heat source at the bottom of a nanofluid-filled enclosure, Eur. J. Mech. B/Fluids, 28 (2009) 630-640.   DOI
28 A.K. Santra, S. Sen and N. Chakraborty, Study of heat transfer augmentation in a differentially heated square cavity using copper water nanofluid, Int. J. Therm. Sci., 47 (2008) 1113-1122.   DOI
29 C.J. Ho, M.W. Chen and Z.W. Li, Numerical simulation of natural convection of nanofluid in a square enclosure: effects due to uncertainties of viscosity and thermal conductivity, Int. J. Heat Mass Transfer, 51 (2008) 4506-4516.   DOI
30 H.F.Oztop and E.Abu-Nada, Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29 (2008) 1326-1336.   DOI
31 E. Abu-nada and H. Oztop, Effect of inclination angle on natural convection in enclosures filled with Cu-Water nanofluid, Int. J. Heat Fluid Flow, 30 (2009) 669-678.   DOI
32 E.B. Ogut, Natural convection of water-based nanofluids in an inclined enclosure with a heat source, Int. J. Therm. Sci., 48 (2009) 2063-2073.   DOI
33 E. Abu-nada, Z. Masoud and H. Oztop, A. Campo, Effect of nanofluid variable properties on natural convection in enclosures, Int. J. Therm. Sci., 49 (2010) 479-491.   DOI
34 B. Ghasemi, S.M. Aminossadati and A. Raisi, Magnetic field effect on natural convection in a nanofluid-filled square enclosure, Int. J. Thermal Sciences, 50 (2011) 1748-1756.   DOI
35 M. Sheikholeslami and M. Gorji-Banpy, Free convection of ferrofluid in a cavity heated from below in the presence of an external magnetic field, Powder technology, 256 (2014) 490-498.   DOI
36 M. Mahmoodi, Numerical simulation of free convection of nanofluid in a square cavity with an inside heater, Int. J. Therm. Sci., 50 (2011) 2161-2175.   DOI
37 F. Selimefendigil, H.F. Oztop and N. Abu-Hamdeh, Natural convection and entropy generation in nanofluid filled entrapped trapezoidal cavities under the influence of magnetic field, Entropy, 18 (2016) 1-22.   DOI
38 S.V. Patankar, Numerical heat transfer and fluid flow, Hemisphere Publishing Corporation, USA, 2004.