## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Three-dimensional mixed convection heat transfer in a partially heated ventilated cavity

**ABSTRACT**

Three-dimensional mixed convective heat transfer inside a ventilated cavity partially heated is studied numerically by using control volume method. The heating square portion similar to the integrated electronic devices is placed on the left vertical wall of the enclosure. The right vertical wall is maintained at ambient temperature and all other walls are adiabatic. The results are presented in terms of flow structures, temperature distribution, and global average Nusselt number for various combinations of thermal controlling parameters, namely, the Richardson number, the Reynolds number the heating section dimension) and the relative height of the openings. It is found that for the low Reynolds number the heat transfer process is carried out only by conduction. On the other hand, the highest thermal performance is achieved by reducing the heating section dimension.

**KEYWORDS**

PAPER SUBMITTED: 2018-04-10

PAPER REVISED: 2018-06-27

PAPER ACCEPTED: 2018-06-28

PUBLISHED ONLINE: 2018-09-30

- Papanicolaou, E., Jaluria, Y., Mixed convection from a localized heat source in a cavity with con-ducting walls: a numerical study.Numerical Heat Transfer, Part A Applications, 23 (1993), 4, pp. 463-484.
- Yücel, C., et al., Mixed convection heat transfer in open ended inclined channels with discrete isothermal heating. Numerical Heat Transfer, Part A, 24 (1993),1, pp.109-126.
- Shuja, S.Z., et al., Mixed Convection in a Square Cavity due to Heat Generating Rectangular Body, International Journal of Numerical Methods for Heat & Fluid Flow, 10 (2000),8, pp.824-841
- Manca, O., Nardini, S.,Khanafer,K.andVafai, K. Effect of heated wall position on mixed convec-tion in a channel with an open cavity. Numer Heat Transfer, Part A, 43 (2003),3, pp.259-282
- Bahlaoui, A., Raji, A. and Hasnaoui, M. Coupling between mixed convection and radiation in an inclined channel locally heated. J Mech Eng, 55 (2004),pp.45-57.
- Bhoite, M.T., Narasimham, G.S.V.L. and Krishna Murthy, M.V.. Mixed convection in a shallow enclosure with a series of heat generating components. Int J Thermal Sciences, 44 (2005), 2,pp.121-135.
- Saha, S., Saha, G. Ali, M. and Quamrul Islam, M.. Combined free and forced convection inside a two-dimensional multiple ventilated rectangular enclosure. ARPN Journal of Engineering and Ap-plied Sciences, 1(2006), 3, pp.23-35.
- Manca, O., Nardini, S.and Vafai, Experimental investigation of mixed convection in a channel with an open cavity. Experimental heat transfer ,19 (2006), 1, pp.53-68.
- Raji, A., Hasnaoui, M., &Bahlaoui, A. Numerical study of natural convection dominated heat transfer in a ventilated cavity: Case of forced flow playing simultaneous assisting and opposing roles. International Journal of Heat and Fluid Flow, 29 (2008), 4, pp.1174-1181
- Bahlaoui, A., Raji, A.,Hasnaoui, M.,Naïmi, M.,Makayssi, T. and Lamsaadi, M.. Mixed con-vection cooling combined with surface radiation in a partitioned rectangular cavity. Energy Con-version and Management, 50 (2009), 3,pp.626-635.
- Bahlaoui, A., Raji, A., Hasnaoui, M.,Ouardi, C. and Makayssi, T. Height partition effect on combined mixed convection and surface radiation in a vented rectangular cavity. Journal of Ap-plied Fluid Mechanics, 4(2011),pp. 89-96.
- Gupta, S. K., D. Chatterjee and Mondal,B. Investigation of mixed convection in a ventilated cavity in the presence of a heat conducting circular cylinder. Numer Heat Transfer, Part A, 67 (2015), 1,pp.52-74.
- Papanicolaou, E., Jaluria, Y., Mixed convection from an isolated heat source in a rectangular enclosure. Numerical Heat Transfer,18 (1991), 4, pp. 427-461
- Hsu, T. H., et al., Mixed convection in a partially divided rectangular enclosure. Numerical Heat Transfer, Part A Applications, 31 (1997), 6, pp. 655-683.
- Raji, A., Hasnaoui, M., Mixed convection heat transfer in a rectangular cavity ventilated and heated from the side. Numerical Heat Transfer, Part A Applications, 33 (1998), 5, pp. 533-548.
- Raji, A., Hasnaoui, M., Corrélations en convection mixte dans des cavités ventilées. Revue générale de thermique, 37 (1998), 10, pp. 874-884.
- Omri, A. and Ben Nasrallah,S Control volume finite element numerical simulation of mixed convection in an air-cooled cavity, Numer Heat Transfer, Part A,36.(1999), 6,pp.615-637
- Raji, A., Hasnaoui, M., Mixed convection heat transfer in ventilated cavities with opposing and assisting flows. Engineering Computations, 17 (2000), 5, pp. 556-572.
- Raji, A. and Hasnaoui, M. Combined mixed convection and radiation in ventilated cavities. EngComput: Int J Computer-Aided Eng Software, 18 (2001),7,pp. 922-949.
- Singh, S., Sharif, M. A. R., Mixed convective cooling of a rectangular cavity with inlet and exit openings on differentially heated side walls. Numerical Heat Transfer: Part A: Applications, 44(2003), 3, pp. 233-253
- Saha, et al., Mixed convection in an enclosure with different inlet and exit configurations. Journal of Applied Fluid Mechanics, 1 (2008),pp.78-93.
- Rahman, el al., Effect of the presence of a heat conducting horizontal square block on mixed convection inside a vented square cavity. Nonlinear Analysis: Modelling and Control, 14 (2009),4, pp.531-548
- Rahman, M.M, et al. Effects of Reynolds and Prandtl number on mixed convection in a venti-lated cavity with a heat-generating solid circular block. Applied Mathematical Modelling, 36 (2012), 5,pp.2056-2066.
- Frederick, R.L., and Quiroz, F. On the transition from conduction to convection regime in a cubical enclosure with a partially heated wall. International journal of heat and mass transfer, 44 (2001),9,pp.1699-1709.
- Ben-Cheikh, N., et al., Three-dimensional study of heat and fluid flow of air and dielectric liquids filling containers partially heated from below and entirely cooled from above. Internation-al Communications in Heat and Mass Transfer, 37 (2010),5, pp.449-456.
- Stiriba, Y.,et al., A numerical study of three-dimensional laminar mixed convection past an open cavity. International Journal of Heat and Mass Transfer, 53 (2010), 21, pp. 4797-4808.
- Moraga, N. O., Lopez, S. E., Numerical simulation of three-dimensional mixed convection in an air-cooled cavity. Numerical Heat Transfer, Part A: Applications, 45 (2004), 8, pp. 811-824.
- Tariq,J., et al., Mixed convection boundary-layer flow of a viscoelastic fluid due to horizontal elliptic cylinder with constant heat flux. Thermal Science:issue 1 Part B, 22(2018),pp, 567-575
- Doghmi, H., et al., Effect of the inlet opening on mixed convection inside a three-dimensional ventilated cavity. Thermal Science , doi.org/10.2298/TSCI170126121D
- Patankar, S.V., Numerical Heat Transfer and Fluid Flow. McGraw-Hill. New York. , USA,1980