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Numerical Analysis of the Conjugate Convection in an Open Cavity with and Without an Obstruction Inside

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Experimental and Computational Fluid Mechanics

Abstract

Conjugate mixed convection due to the steady state heat transfer and the incoming fluid dynamics inside a two-dimensional square cavity is studied numerically for a Reynolds number of 400. The boundary of the left side of the cavity is a hot thick wall. The other three sides are bounded by adiabatic walls. In order to investigate the effect of a solid body on the conjugate heat transfer, a circular obstruction is placed at the centre of the cavity. The fluid inlets are at the lateral lower left wall, and the exits are located at the lateral upper right wall. The analysis is carried out for different ratios between the solid and fluid thermal conductivities. The governing equations of continuity, momentum and energy for incompressible flow are solved by the finite element method combined with the splitting operator scheme. The temperature field, the streamlines, the velocity and the pressure field are studied, and the axial velocity profiles are analysed as a function of the transversal position. It is observed that an obstruction placed inside the cavity plays a major role on vortex formation and on the thermal behaviour of the flow inside the cavity.

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References

  • Glowinski R (2003) Numerical methods for fluids, part 3. Garlet PG, Lions JL (eds) Handbook of numerical analysis, vol IX. North-Holland, Amsterdam

    Google Scholar 

  • Mahmoudi AH, Shahi M, Talebi F (2010) 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

    Article  Google Scholar 

  • Mamun MAH, Rahman MM, Billah MM, Saidur R (2010) 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

    Article  Google Scholar 

  • Manca O, Nardini S, Khanafer K, Vafai K (2003) Effect of heated wall position on mixed convection in a channel with an open cavity. Numer Heat Transf Part A 43:259–282

    Article  Google Scholar 

  • Mariani VC, Coelho LS (2007) Natural convection heat transfer in partially open enclosure containing an internal local heat source. Braz J Chem Eng 24:375–388

    Article  Google Scholar 

  • Radhakrishnan TV, Verma AK, Balaji C, Venkateshan SP (2007) An experimental and numerical investigation of mixed convection from a heat generating element in a ventilated cavity. Exp Thermal Fluid Sci 32:502–520

    Article  Google Scholar 

  • Rahman MM, Parvin N, Rahim NA, Islam MR, Saidur R, Hasanuzzaman M (2011) Effect of reynolds and prandtl number on mixed convection in a ventilated cavity with a heat-generating solid circular block. Appl Math Model 36:2056–2066

    Article  Google Scholar 

  • Varol Y, Oztop HF, Koca A (2008) Entropy generation due to conjugate natural convection in enclosures bounded by vertical solid walls with different thicknesses. Int Commun Heat Mass Transf 35:648–656

    Article  Google Scholar 

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Correspondence to G. E. Ovando-Chacón .

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Ovando-Chacón, G.E., Ovando-Chacón, S.L., Prince-Avelino, J.C., Servín-Martínez, A., Hernández-Zarate, J.A. (2014). Numerical Analysis of the Conjugate Convection in an Open Cavity with and Without an Obstruction Inside. In: Klapp, J., Medina, A. (eds) Experimental and Computational Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-00116-6_20

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