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Arabian Journal for Science and Engineering

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30-03-2020 | Research Article-Chemical Engineering

Combined Mixed Convection and Radiation Heat Transfer in the Presence of Participating Medium in a Square Cavity with an Inside Heated Plate

Authors: N. Hamici, A. Sahi, D. Sadaoui

Published in: Arabian Journal for Science and Engineering | Issue 9/2020

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Abstract

The present paper analyses the interaction between thermal radiation and mixed convection inside a square vented enclosure containing a thin heated plate. The cavity walls are assumed to be diffuse, grey and opaque, while the working fluid is considered to be a radiatively absorbing, emitting and scattering medium. The main attention is focused on the effect of plate inclination angle and radiative parameters on the thermal field, fluid flow and heat transfer rate. The mixed convection governing equations are discretised using the finite volume method and are solved using the SIMPLE algorithm, whereas the solution of the radiative transfer equation is obtained using the discrete ordinate method (DO). Flow parameters such as Grashof number Gr and Richardson number Ri, and geometrical parameters like heated plate inclination are varied to show their impact on heat transfer enhancements. The effect of radiation parameters namely the radiation–conduction parameter RC and fluid optical thickness τ are also discussed while the walls emissivity and single scattering albedo were kept constant. The obtained results show that there is not a limited angle which improves heat transfer for all considered cases, but for every Gr and Ri value, there is a specific inclination which gives the most efficient rate of heat transfer, regardless of other considered parameters. The findings also highlight the influence of thermal radiation on heat transfer behaviour within the enclosure.

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De Kumar, A.; Dalal, A.: A numerical study of natural convection around a square, horizontal, heated cylinder placed in an enclosure. Int. J. Heat Mass Transf. 49, 4608–4623 (2006). https://doi.org/10.1016/j.ijheatmasstransfer.2006.04.020CrossRefMATH

Kim, B.S.; Lee, D.S.; Ha, M.Y.; Yoon, H.S.: A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations. Int. J. Heat Mass Transf. 51, 1888–1906 (2008). https://doi.org/10.1016/j.ijheatmasstransfer.2007.06.033CrossRefMATH

Selimefendigil, F.; Öztop, H.F.: Natural convection and entropy generation of nanofluid filled cavity having different shaped obstacles under the influence of magnetic field and internal heat generation. J. Taiwan Inst. Chem. Eng. 56, 42–56 (2015). https://doi.org/10.1016/j.jtice.2015.04.018CrossRef

Khozeymehnezhad, H.; Ali Mirbozorgi, S.: Comparison of natural convection around a circular cylinder with a square cylinder inside a square enclosure. J. Mech. Eng. Autom. 2, 176–183 (2012). https://doi.org/10.5923/j.jmea.20120206.08CrossRef

Lee, H.J.; Doo, J.H.; Ha, M.Y.; Yoon, H.S.: Effects of thermal boundary conditions on natural convection in a square enclosure with an inner circular cylinder locally heated from the bottom wall. Int. J. Heat Mass Transf. 65, 435–450 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2013.06.031CrossRef

Roslan, R.; Saleh, H.; Hashim, I.: Natural convection in a differentially heated square enclosure with a solid polygon. Sci. World J. (2014). https://doi.org/10.1155/2014/617492CrossRef

Hu, J.T.; Ren, X.H.; Liu, D.; Zhao, F.Y.; Wang, H.Q.: Conjugate natural convection inside a vertical enclosure with solid obstacles of unique volume and multiple morphologies. Int. J. Heat Mass Transf. 95, 1096–1114 (2016). https://doi.org/10.1016/j.ijheatmasstransfer.2015.12.070CrossRef

Garoosi, F.; Bagheri, G.; Talebi, F.: Numerical simulation of natural convection of nanofluids in a square cavity with several pairs of heaters and coolers (HACs) inside. Int. J. Heat Mass Transf. 67, 362–376 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2013.08.034CrossRef

Tasnim, S.H.; Collins, M.R.: Suppressing natural convection in a differentially heated square cavity with an arc shaped baffle. Int. Commun. Heat Mass Transf. 32, 94–106 (2005). https://doi.org/10.1016/j.icheatmasstransfer.2004.05.022CrossRef

10.

Garoosi, F.; Hoseininejad, F.: Numerical study of natural and mixed convection heat transfer between differentially heated cylinders in an adiabatic enclosure filled with nanofluid. J. Mol. Liq. 215, 1–17 (2016). https://doi.org/10.1016/j.molliq.2015.12.016CrossRef

11.

Öztop, H.; Dağtekin, İ.; Bahloul, A.: Comparison of position of a heated thin plate located in a cavity for natural convection. Int. Commun. Heat Mass Transf. 31, 121–132 (2003). https://doi.org/10.1016/S0735-1933(03)00207-0CrossRef

12.

Mahmoodi, M.: Numerical simulation of free convection of nanofluid in a square cavity with an inside heater. Int. J. Therm. Sci. 50, 2161–2175 (2011). https://doi.org/10.1016/j.ijthermalsci.2011.05.008CrossRef

13.

Sadaoui, D.; Sahi, A.; Nadjib, H.; Meziani, B.; Amoura, T.: Free convection in a square enclosure with a finned plate. Mech. Ind. 16, 310 (2015). https://doi.org/10.1051/meca/2015005CrossRef

14.

Waheb, J.H.; Jalil, S.M.; Ibrahim, M.: The natural convective heat transfer in rectangular enclosure containing two inclined partitions. Int. J. Sci. Eng. Res. 2, 36–43 (2015)

15.

Purusothaman, A.; Baïri, A.; Nithyadevi, N.: Natural convection on a horizontal and vertical thermally active plate in a closed cubical cavity. Int. J. Numer. Methods Heat Fluid Flow 26, 2528–2542 (2016). https://doi.org/10.1108/hff-08-2015-0341CrossRef

16.

Hussain, S.H.; Jabbar, M.Y.; Mohamad, A.S.: Influence of presence of inclined centered baffle and corrugation frequency on natural convection heat transfer flow of air inside a square enclosure with corrugated side walls. Int. J. Therm. Sci. 50, 1799–1808 (2011). https://doi.org/10.1016/j.ijthermalsci.2011.03.016CrossRef

17.

Ben-Nakhi, A.; Chamkha, A.J.: Conjugate natural convection around a finned pipe in a square enclosure with internal heat generation. Int. J. Heat Mass Transf. 50, 2260–2271 (2007). https://doi.org/10.1016/j.ijheatmasstransfer.2006.10.036CrossRefMATH

18.

Ridouane, E.H.; Hasnaoui, M.; Amahmid, A.; Raji, A.: Interaction between natural convection and radiation in a square cavity heated from below. Numer. Heat Transf. Part A Appl. 45, 289–311 (2004). https://doi.org/10.1080/10407780490250373CrossRef

19.

Diaz, G.; Winston, R.: Effect of surface radiation on natural convection in parabolic enclosures. Numer. Heat Transf. Part A Appl. 53, 891–906 (2008). https://doi.org/10.1080/10407780701789518CrossRef

20.

Saravanan, S.; Sivaraj, C.: Combined thermal radiation and natural convection in a cavity containing a discrete heater: effects of nature of heating and heater aspect ratio. Int. J. Heat Fluid Flow 66, 1339–1351 (2017). https://doi.org/10.1016/j.ijheatfluidflow.2017.05.004CrossRef

21.

Sadaoui, D.; Sahi, A.; Djerrada, A.; Mansouri, K.: Coupled radiation and natural convection within an inclined sinusoidal solar collector heated from below. Mech. Ind. 17, 302 (2016). https://doi.org/10.1051/meca/2015060CrossRef

22.

Meng, X.; Wang, Y.; Liu, T.; Xing, X.; Cao, Y.; Zhao, J.: Influence of radiation on predictive accuracy in numerical simulations of the thermal environment in industrial buildings with buoyancy-driven natural ventilation. Appl. Therm. Eng. 96, 473–480 (2016). https://doi.org/10.1016/j.applthermaleng.2015.11.105CrossRef

23.

Vivek, V.; Sharma, A.K.; Balaji, C.: Interaction effects between laminar natural convection and surface radiation in tilted square and shallow enclosures. Int. J. Therm. Sci. 60, 70–84 (2012). https://doi.org/10.1016/j.ijthermalsci.2012.04.021CrossRef

24.

Singh, D.K.; Singh, S.N.: Combined free convection and surface radiation in tilted open cavity. Int. J. Therm. Sci. 107, 111–120 (2016). https://doi.org/10.1016/j.ijthermalsci.2016.04.001CrossRef

25.

Lari, K.; Baneshi, M.; Gandjalikhan Nassab, S.A.; Komiya, A.; Maruyama, S.: Combined heat transfer of radiation and natural convection in a square cavity containing participating gases. Int. J. Heat Mass Transf. 54, 5087–5099 (2011). https://doi.org/10.1016/j.ijheatmasstransfer.2011.07.026CrossRefMATH

26.

Mahapatra, S.K.; Dandapat, B.K.; Sarkar, A.: Analysis of combined conduction and radiation heat transfer in presence of participating medium by the development of hybrid method. J. Quant. Spectrosc. Radiat. Transf. 102, 277–292 (2006). https://doi.org/10.1016/j.jqsrt.2006.02.015CrossRef

27.

Zhang, J.-K.; Li, B.-W.; Hu, Z.-M.: Effects of optical parameters on fluid flow and heat transfer of participating magnetic fluid. Int. J. Heat Mass Transf. 59, 126–136 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2012.12.004CrossRef

28.

Cho, Y.H.; Seung, W.B.: The effect of radiation on natural convection in a rectangular enclosure divided by two partitions. Numer. Heat Transf. Part A Appl. 37, 249–270 (2000). https://doi.org/10.1080/104077800274280MathSciNetCrossRef

29.

Kumar, P.; Eswaran, V.: The effect of radiation on natural convection in slanted cavities of angle γ = 45 deg and 60 deg. Int. J. Therm. Sci. 67, 96–106 (2013). https://doi.org/10.1016/j.ijthermalsci.2012.12.009CrossRef

30.

Saeidi, S.M.; Khodadadi, J.M.: Forced convection in a square cavity with inlet and outlet ports. Int. J. Heat Mass Transf. 49, 1896–1906 (2006). https://doi.org/10.1016/j.ijheatmasstransfer.2005.10.033CrossRefMATH

31.

Mahmoudi, A.H.; Shahi, M.; Talebi, F.: Effect of inlet and outlet location on the mixed convective cooling inside the ventilated cavity subjected to an external nanofluid. Int. Commun. Heat Mass Transf. 37, 1158–1173 (2010). https://doi.org/10.1016/j.icheatmasstransfer.2010.04.004CrossRef

32.

Al-Salem, K.; Öztop, H.F.; Pop, I.; Varol, Y.: Effects of moving lid direction on MHD mixed convection in a linearly heated cavity. Int. J. Heat Mass Transf. 55(4), 1103–1112 (2011). https://doi.org/10.1016/j.ijheatmasstransfer.2011.09.062CrossRefMATH

33.

Mehrizi, A.A.; Farhadi, M.; Afroozi, H.H.; Sedighi, K.; Darz, A.A.R.: Mixed convection heat transfer in a ventilated cavity with hot obstacle: effect of nanofluid and outlet port location. Int. Commun. Heat Mass Transf. 39, 1000–1008 (2012). https://doi.org/10.1016/j.icheatmasstransfer.2012.04.002CrossRef

34.

Rahma, M.M.; Öztop, H.F.; Saidur, R.; Mekhilef, S.; Al-Salem, K.: Finite element solution of MHD mixed convection in a channel with a fully or partially heated cavity. Comput. Fluids 79, 53–64 (2013). https://doi.org/10.1016/j.compfluid.2013.03.003MathSciNetCrossRefMATH

35.

Abhinav, R.; Sunder, P.B.S.; Gowrishankar, A.; Vignesh, S.; Vivek, M.; Kishore, V.R.: Numerical study on effect of vent locations on natural convection in an enclosure with an internal heat source. Int. Commun. Heat Mass Transf. 49, 69–77 (2013). https://doi.org/10.1016/j.icheatmasstransfer.2013.09.001CrossRef

36.

Selimefendigil, F.; Öztop, H.F.: Influence of inclination angle of magnetic field on mixed convection of nanofluid flow over a backward facing step and entropy generation. Adv. Powder Technol. 26(6), 1663–1675 (2015). https://doi.org/10.1016/j.apt.2015.10.002CrossRef

37.

Koufi, L.; Younsi, Z.; Cherif, Y.; Naji, H.: Numerical investigation of turbulent mixed convection in an open cavity: effect of inlet and outlet openings. Int. J. Therm. Sci. 116, 103–117 (2017). https://doi.org/10.1016/j.ijthermalsci.2017.02.007CrossRef

38.

Sivasankaran, S.; Cheong, H.T.; Bhuvaneswari, M.; Ganesan, P.: Effect of moving wall direction on mixed convection in an inclined lid-driven square cavity with sinusoidal heating. Numer. Heat Transf. Part A Appl. 69, 630–642 (2016). https://doi.org/10.1080/10407782.2015.1069669CrossRef

39.

Chattopadhyay, A.; Pandit, S.K.; Sen Sarma, S.; Pop, I.: Mixed convection in a double lid-driven sinusoidally heated porous cavity. Int. J. Heat Mass Transf. 93, 361–378 (2016). https://doi.org/10.1016/j.ijheatmasstransfer.2015.10.010CrossRef

40.

Boulahia, Z.; Wakif, A.; Sehaqui, R.: Numerical study of mixed convection of the nanofluids in two-sided lid-driven square cavity with a pair of triangular heating cylinders. J. Eng. (2016). https://doi.org/10.1155/2016/8962091CrossRef

41.

Sharif, M.A.R.: Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom. Appl. Therm. Eng. 27, 1036–1042 (2007). https://doi.org/10.1016/j.applthermaleng.2006.07.035CrossRef

42.

Sivasankaran, S.; Sivakumar, V.; Hussein, A.K.: Numerical study on mixed convection in an inclined lid-driven cavity with discrete heating. Int. Commun. Heat Mass Transf. 46, 112–125 (2013). https://doi.org/10.1016/j.icheatmasstransfer.2013.05.022CrossRef

43.

Cheng, T.S.; Liu, W.H.: Effects of cavity inclination on mixed convection heat transfer in lid-driven cavity flows. Comput. Fluids 100, 108–122 (2014). https://doi.org/10.1016/j.compfluid.2014.05.004MathSciNetCrossRefMATH

44.

Mamun, M.A.H.; Rahman, M.M.; Billah, M.M.; Saidur, R.: A numerical study on the effect of a heated hollow cylinder on mixed convection in a ventilated cavity. Int. Commun. Heat Mass Transf. 37, 1326–1334 (2010). https://doi.org/10.1016/j.icheatmasstransfer.2010.07.019CrossRef

45.

Billah, M.M.; Rahman, M.M.; Sharif, U.M.; Rahim, N.A.; Saidur, R.; Hasanuzzaman, M.: Numerical analysis of fluid flow due to mixed convection in a lid-driven cavity having a heated circular hollow cylinder. Int. Commun. Heat Mass Transf. 38, 1093–1103 (2011). https://doi.org/10.1016/j.icheatmasstransfer.2011.05.018CrossRef

46.

Karimi, F.; Xu, H.T.; Wang, Z.; Yang, M.; Zhang, Y.: Numerical simulation of steady mixed convection around two heated circular cylinders in a square enclosure. Numer. Heat Transf. Part A Appl. 37, 64–75 (2015). https://doi.org/10.1080/10407782.2013.846607CrossRef

47.

Khanafer, K.; Aithal, S.M.: Laminar mixed convection flow and heat transfer characteristics in a lid driven cavity with a circular cylinder. Int. J. Heat Mass Transf. 66, 200–209 (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2013.07.023CrossRef

48.

Islam, A.W.; Sharif, M.A.R.; Carlson, E.S.: Mixed convection in a lid driven square cavity with an isothermally heated square blockage inside. Int. J. Heat Mass Transf. 55, 5244–5255 (2012). https://doi.org/10.1016/j.ijheatmasstransfer.2012.05.032CrossRef

49.

Radhakrishnan, T.V.; Verma, A.K.; Balaji, C.; Venkateshan, S.P.: An experimental and numerical investigation of mixed convection from a heat generating element in a ventilated cavity. Exp. Therm. Fluid Sci. 32, 502–520 (2007). https://doi.org/10.1016/j.expthermflusci.2007.06.001CrossRef

50.

Selimefendigil, F.; Öztop, H.F.: Fuzzy-based estimation of mixed convection heat transfer in a square cavity in the presence of an adiabatic inclined fin. Int. Commun. Heat Mass Transf. 39, 1639–1646 (2012). https://doi.org/10.1016/j.icheatmasstransfer.2012.10.006CrossRef

51.

Promvonge, P.; Koolnapadol, N.; Pimsarn, M.; Thianpong, C.: Thermal performance enhancement in a heat exchanger tube fitted with inclined vortex rings. Appl. Therm. Eng. 62, 285–292 (2014). https://doi.org/10.1016/j.applthermaleng.2013.09.031CrossRef

52.

Mokhtari, M.; Gerdroodbary, M.B.; Yeganeh, R.; Fallah, K.: Numerical study of mixed convection heat transfer of various fin arrangements in a horizontal channel. Eng. Sci. Technol. Int. J. (2016). https://doi.org/10.1016/j.jestch.2016.12.007CrossRef

53.

Gururaja Rao, C.; Balaji, C.; Venkateshan, S.P.: Effect of surface radiation on conjugate mixed convection in a vertical channel with a discrete heat source in each wall. Int. J. Heat Mass Transf. 45, 3331–3347 (2002). https://doi.org/10.1016/S0017-9310(02)00061-3CrossRefMATH

54.

Premachandran, B.; Balaji, C.: Conjugate mixed convection with surface radiation from a horizontal channel with protruding heat sources. Int. J. Heat Mass Transf. 49, 3568–3582 (2006). https://doi.org/10.1016/j.ijheatmasstransfer.2006.02.044CrossRefMATH

55.

Belmiloud, M.A.; Eddine, N.; Chemloul, S.: Numerical study of mixed convection coupled to radiation in a square cavity with a lid-driven. Int. J. Mech. Aerosp. Ind. Mechatron. Manuf. Eng. 9, 1690–1696 (2016)

56.

Bahlaoui, A.; Raji, A.; Hasnaoui, M.; Naïmi, M.; Makayssi, T.; Lamsaadi, M.: Mixed convection cooling combined with surface radiation in a partitioned rectangular cavity. Energy Convers. Manag. 50, 626–635 (2009). https://doi.org/10.1016/j.enconman.2008.10.001CrossRef

57.

Mohammadi, M.; Gandjalikhan-Nassab, S.A.: The combined heat transfer of radiation and mixed convection analysis in a lid-driven trapezoidal cavity. J. Theor. Appl. Mech. 53, 643 (2015). https://doi.org/10.15632/jtam-pl.53.3.643CrossRef

58.

Mahapatra, S.K.; Nanda, P.; Sarkar, A.: Interaction of mixed convection in two-sided lid driven differentially heated square enclosure with radiation in presence of participating medium. Heat Mass Transf. Stoffuebertragung. 42, 739–757 (2006). https://doi.org/10.1007/s00231-005-0034-1CrossRef

59.

Mahapatra, S.K.: Mixed convection inside a differentially heated enclosure and its interaction with radiation-an exhaustive study. Heat Transf. Eng. 35, 74–93 (2014). https://doi.org/10.1080/01457632.2013.730912CrossRef

60.

Mohammadi, M.; Nassab, S.A.G.: Effect of radiation on mixed convection inside a lid-driven square cavity with various optical thicknesses and Richardson numbers. Heat Transf. Eng. 38, 653–665 (2017). https://doi.org/10.1080/01457632.2016.1200386CrossRef

61.

Modest, M.F.: Radiative Heat Transfer, 2nd edn, pp. 1–822. Academic Press, San Diego (2003)CrossRef

Title: Combined Mixed Convection and Radiation Heat Transfer in the Presence of Participating Medium in a Square Cavity with an Inside Heated Plate
Authors: N. Hamici
A. Sahi
D. Sadaoui
Publication date: 30-03-2020
Publisher: Springer Berlin Heidelberg
Published in: Arabian Journal for Science and Engineering / Issue 9/2020
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI: https://doi.org/10.1007/s13369-020-04485-8

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