Mixed convection fluid flow and heat transfer and optimal distribution of discrete heat sources location in a cavity filled with nanofluid

Document Type : Original Research Paper

Authors

Mechanical Engineering Department, University of Kashan, Kashan, I. R.Iran

Abstract

Mixed convection fluid flow and heat transfer of water-Al2O3 nanofluid inside a lid-driven square cavity has been
examined numerically in order to find the optimal distribution of discrete heat sources on the wall of a cavity. The effects of different heat source length, Richardson number and Grashof number on optimal heat source location has been investigated. Moreover, the average Nusselt number on the heat source for two models of nanofluid, constant properties and variable properties, are compared. The obtained results showed that by decreasing the Richardson number and increasing the Grashof number, heat transfer rate decreases.
Also by reducing the Richardson number, optimal heat source location move to the top of the wall and with augmentation of Richardson number, heat source optimal location move to the middle of the wall. Furthermore, the overall heat transfer increases by increasing nanoparticles volume fraction. Moreover, it was found that for two different models of nanofluids and in Ri=1, the values of the average Nusselt number are close together.

Keywords


[1] T. Basak, S. Roy, P.K. Sharma, I. Pop: Analysis of mixed convection flows within a square cavity with uniform and non-uniform heating of bottom wall, International Journal of Thermal Science 48 (2009) 891–912.
[2] G. Guo, M.A.R. Sharif: Mixed convection in rectangular cavities aspect ratios with moving isothermal sidewalls and constant flux heat source on the bottom wall, International Journal of Thermal Science 43 (2004) 465–475.
[3] A. Fattahi, M. Alizadeh: Numerical Investigation of Double- Diffusive Mixed Convective Flow in a Lid-Driven Enclosure Filled with Al2O3-Water Nanofluid, Transport Phenomena in Nano and Micro Scales 2 (2014) 65-77.
[4] A. Zare Ghadi, M. Sadegh Valipour: Numerical Study of Hydro-Magnetic Nanofluid Mixed Convection in a Square Lid-Driven Cavity Heated From Top and Cooled From Bottom, Transport Phenomena in Nano and Micro Scales 2 (2014) 29-42.
[5] B. Jafarian, M. Hajipour, R. Khademi: Conjugate Heat Transfer of MHD non-Darcy Mixed Convection Flow of a Nanofluid over a Vertical Slender Hollow Cylinder Embedded in Porous Media, Transport Phenomena in Nano and Micro Scales 4 (2016) 1-10.
[6] H. R. Ehteram, A. A. Abbasian Arani, G. A. Sheikhzadeh, A. Aghaei, A. R. Malihi: The effect of various conductivity and viscosity models considering Brownian motion on nanofluids mixed convection flow and heat transfer, TransportPhenomena in Nano and Micro Scales 4 (2016) 19-28.
[7] F. Vahidinia, M. Rahmdel: Turbulent Mixed Convection of a Nanofluid in a Horizontal Circular Tube with Non-Uniform Wall Heat Flux Using a Two-Phase Approach, Transport Phenomena in Nano and Micro Scales 3 (2015) 106-117.
[8] A. Aghaei, H. Khorasanizadeh, G. Sheikhzadeh, M. Abbaszadeh: Numerical study of magnetic field on mixed convection and entropy generation of nanofluid in a trapezoidal enclosure, Journal of Magnetism and Magnetic Materials 403 (2016) 133–145.
[9] A. Rahmati, A. R. Roknabadi, M. Abbaszadeh: Numerical simulation of mixed convection heattransfer of nanofluid in a double lid-driven cavity using lattice Boltzmann method, Alexandria Engineering Journal Available online 20 September 2016, http://dx.doi.org/10.1016/j.aej.2016.08.017.
[10] M.A.R. Sharif: Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom, Applied Thermal Engineering 27 (2007) 1036–1042.
[11] R.K. Tiwari, M.K. Das: Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, International Journal Heat and Mass Transfer 50 (2007) 2002–2018.
[12] M. Muthtamilselvan, P. Kandaswamy, J. Lee: Heat transfer enhancement of Copper–water nanofluids in a lid-driven enclosure, Communications in Nonlinear Science Numerical Simulation 15 (2010) 1501–1510.
[13] A. Arefmanesh, M. Mahmoodi: Effects of uncertainties of viscosity models for Al2O3–water nanofluid on mixed convection numerical simulations, International Journal of Thermal Sciences 50 (2011) 1706–1719.
[14] P. Kandaswamy, S. Sivasankaran, N. Nithyadevi: Buoyancy-driven convection of water near its density maximum with partially active vertical walls, International Journal of Heat and Mass Transfer 50 (2007) 942-948.
[15] M. Mahmoodi: Mixed convection inside nanofluid filled rectangular enclosures with moving bottom wall, Thermal Science 15 (2011) 889–903.
[16] S. Mazrouei Sebdani, M. Mahmoodi, S.M. Hashemi: Effect of nanofluid variable properties on mixed convection in a square cavity, International Journal of Thermal Sciences 52 (2012) 112–126.
[17] A.M. Amiri, Kh.M. Khanafer, I. Pop: Numerical simulation of combined thermal and mass transport in a square lid-driven cavity, International Journal of Thermal Sciences 46 (2007) 662-671.
[18] A. Arefmanesh, A. Aghaei, H. Ehteram: Mixed convection heat transfer in a CuO–water filled trapezoidal enclosure, effects of various constant and variable properties of the nanofluid, Applied Mathematical Modelling 40 (2016) 815–831.
[19] A. Aghaei, GA. Sheikhzadeh, H. Ehteram, M. Hajiahmadi: Numerical Investigation of Mixed Convection Fluid Flow, Heat Transfer and Entropy Generation in Triangular Enclosure Filled with a Nanofluid, Journal of Applied Fluid Mechanics 9 (2016) 147-156.
[20] M. Najafi, M. Nikfar, A. Arefmanesh: Inclination angle implications for fluid flow and mixed convection in complex geometry enclosure-meshless numerical analyses, Journal of Theoretical and Applied Mechanics 53 (2015) 519-530.
[21] A. Saha, T. Malik: Mixed convection flow and heat transfer through a horizontal channel with surface mounted obstacles, Journal of Enhanced Heat Transfer 19 (2012) 313-329.
[22] S. H. Hussain, Q.R. Abd-Amer: Mixed convection heat transfer flow of air inside a sinusoidal corrugated cavity with a heat conducting horizontal circular cylinder, Journal of Enhanced Heat Transfer 18 (2011) 433-447.
[23] P. Shiang-Wuu, W. Horng-Wen: Heat transfer enhancement for turbulent mixed convection in reciprocating channel by various rib installation, Journal of Enhanced Heat Transfer 20 (2013) 95-114.
[24] T. Hayat, M. Bilal Ashraf, H.H. Alsulami: On mixed convection flow of Jeffrey fluid over an inclined stretching surface with thermal radiation, Heat Transfer Research 46 (2015) 515-539.
[25] M. Hemmat Esfe, A.H. Refahi, H. Teimouri, M.J. Noroozi, M. Afrand, A. Karimiopour: Mixed convection fluid flow and heat transfer of the Al2O3-water nanofluid with variable properties in a cavity with an inside quadrilateral obstacle, Heat Transfer Research 46 (2015) 465-482.
[26] M. Hemmat Esfe, M. Akbari, D.Toghraei Semiromi, A. Karimiopour, M. Afrand: Effect of nanofluid variable properties on mixed convection flow and heat transfer in an inclined two-sided lid-driven cavity with sinusoidal heating on side walls, Heat Transfer Research 45 (2014) 409-432.
[27] M. Hemmat Esfe, S.S. Mirtalebi Esforjani, M. Akbari, A. Karimiopour: Mixed-convection flow in a lid-driven square cavity with a nanofluid with variable properties: effect of the nanoparticle diameter and of the position of a hot obstacle, Heat Transfer Research 45 (2014) 563-578.
[28] S. Shehzad, F. E. Alsaadi, T. Hayat, S. J. Monaquel: MHD mixed convection flow of Thixo tropic fluid with thermal radiation, Heat Transfer Research 45 (2014) 569-676.
[29] M. Hemmat Esfe, S. Niazi, S.S. Mirtalebi Esforjani, M. Akbari: Mixed convection flow and heat transfer in a ventilated inclined cavity containing hot obstacles subjected to a nanofluid, Heat Transfer Research 45 (2014) 309-338.
[30] M. Hemmat Esfe, S.S. Mirtalebi Esforjani, M. Akbari: Mixed convection flow and heat transfer in a lid-driven cavity subjected to nanofluid: effect of temperature, concentration and cavity inclination angles, Heat Transfer Research 45 (2014) 453-470.
[31] F. Bazdadi-Tehrani, A. Safakish: Mixed-convection and thermal radiation heat transfer in a three dimensional asymmetrically heated vertical channel, Heat Transfer Research 45 (2014) 541-561.
[32] M. Mollamahdi, M. Abbaszadeh, G. Sheikhzadeh: Flow field and heat transfer in a channel with a permeable wall filled with Al2O3-Cu/water micropolar hybrid nanofluid, effects of chemical reaction and magnetic field, Journal of Heat andMass Transfer Research Available online from 2 September 2016.
[33] M. Abbaszadeh, A. Ababaei, A. A. Abbasian Arani, A. Abbasi Sharifabadi: MHD forced convection and entropy generation of CuO‑water nanofluid in a microchannel considering slip velocity and temperature jump, The Brazilian Society of Mechanical Sciences and Engineering First Online: 7 June 2016, DOI 10.1007/s40430-016-0578-7.
[34] G. Sheikhzadeh, A. Aghaei, H. Ehteram, M. Abbaszadeh: Analytical study of parameters affecting entropy generation of nanofluid turbulent flow in channel and micro-channel, Thermal Science (2016) Online-First Issue, DOI: 10.2298/TSCI151112070S.
[35] G.A. Sheikhzadeh, H. Khorasanizadeh, S.P. Ghaffari: Mixed Convection of Variable Properties Al2O3-EG-Water Nanofluid in a Two-Dimensional Lid-Driven Enclosure, Transport Phenomena in Nano and Micro Scales 1 (2013) 75-92.
[36] G. A. Sheikhzadeh, H. Teimouri, M. Mahmoodi: Numerical Study of Mixed Convection of Nanofluid in a Concentric Annulus with Rotating Inner Cylinder, Transport Phenomena in Nano and Micro Scales 1 (2013) 26-36.
[37] A. Muftuoglu, E. Bilgen: Conjugate heat transfer in open cavities with a discrete heater at its optimized position, International Journal of Heat and Mass Transfer 51 (2007) 779-788.
[38] Y. Liu, N.P. Thien: An optimum placing problem for three chips mounted on a vertical substrate in an enclosure, Numerical Heat Transfer Part A 37 (2000) 613–630.
[39] S. Chen, Y. Liu, S.F. Chan, C.W. Leung, T.L. Chan: Experimental study of optimum spacing in the cooling of simulated electronic package, Heat and Mass Transfer 37 (2001) 251–257.
[40] Tito Dias Jr., L.F. Milanez: Optimal location of heat sources on a vertical wall with natural convection and genetic algorithm, International Journal of Heat and Mass Transfer 49 (2006) 2090–2096.
[41] J.C. Maxwell, A Treatise on Electricity and magnetism, second ed., clarendon press, Oxford,  UK. (1881).
[42] Kh. Khanafer, K, Vafai: A critical synthesis of thermophysical characteristics of nanofluids, International journal of heat and mass transfer 54 (2011) 4410-4428.
[43] A. Bejan, Convection Heat Transfer. John Wiley & Sons, Inc., Hoboken, New Jersey, USA, 2004.
[44] G. Sheikhzadeh, H. Ghasemi, M. Abbaszadeh: Investigation of natural convection boundary layer heat and mass transfer of MHD water-AL2O3 nanofluid in a porous medium, International Journal of Nano Studies & Technology (IJNST) 5 (2) 110-122.
[45] K. Khanafer, K. Vafai, M. Lightstone: Buoyancydriven heat transfer enhancement in a twodimensional enclosure utilizing nanofluid, International journal of heat and mass transfer 46 (2003) 3639-3653.
[46] A.K. da Silva, S. Lorente, A. Bejan: Optimal distribution of discrete heat sources on a wall with natural convection, International journal of heat and mass transfer 47 (2004) 203-214.
[47] V. Sivakumar, S. Sivasankaran, P. Prakash, Jinho lee: Effect of heating and size on mixed convection in lid-driven cavities, Computers and Mathematics With Application 59 (2010) 3053-3065.
[48] H.C. Brinkman: The viscosity of concentrated suspensions and solutions, The Journal of Chemical Physic 20 (1952) 571.