Numerical Study of Natural Convection Heat Transfer inside a Triangular Cavity with Flexible Sidewalls Containing a Cylindrical Heat Source

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, shahrekord University

2 Engineering Faculty, Shahrekord University, Shahrekord, PO Box 115, Iran

Abstract

In this study, the natural convection heat transfer within a triangular cavity with elastic diagonal walls containing a cylindrical heat source is investigated. The assumed fluid inside the cavity is air. The flexible diagonal walls of the cavity are considered to be at a constant cold temperature of Tc and the cylindrical heat source is at the hot temperature of Th. In this study, the interaction of fluid and solid fields and the effect of cylindrical heat source position on flow and temperature fields are examined. For this purpose, the effect of Rayleigh number and changing the position of the heat source along the vertical centerline on the deformation of flexible walls, flow and temperature fields, and heat transfer rate are investigated. The results show that for a fixed position of the heat source, an increase in the Rayleigh number increases the maximum of the stream function, the average Nusselt number, and the deformation of the flexible walls. Also, the results show that the position of the heat source depending on the Rayleigh number has different effects on the temperature and flow fields. As the heat source moves to the bottom of the cavity, the average Nusselt number for Rayleigh numbers of 104 and 105 decreases, and Rayleigh number of 106 first increases and then decreases.

Keywords

Main Subjects

References

[1] A. Baïri, E. Zarco-Pernia, J.-M.G. De María, A review on natural convection in enclosures for engineering applications. The particular case of the parallelogrammic diode cavity, Applied Thermal Engineering, 63(1) (2014) 304-322.
[2] A. Rahimi, A.D. Saee, A. Kasaeipoor, E.H. Malekshah, A comprehensive review on natural convection flow and heat transfer, International Journal of Numerical Methods for Heat & Fluid Flow,  (2019).
[3] K. Khanafer, K. Vafai, A critical review on the applications of fluid-structure interaction in porous media, International Journal of Numerical Methods for Heat & Fluid Flow,  (2019).
[4] M.A. Nizamani, Z. Nizamani, A. Nakayama, M. Osman, Review of Fluid-structure Interaction Model in a Numerical Wave Tank with Offshore Structures Near the Free Surface,  (2020).
[5] O. Doaré, S. Michelin, Piezoelectric coupling in energy-harvesting fluttering flexible plates: linear stability analysis and conversion efficiency, Journal of Fluids and Structures, 27(8) (2011) 1357-1375.
[6] M. Ghalambaz, S. Mehryan, A.I. Alsabery, A. Hajjar, M. Izadi, A. Chamkha, Controlling the natural convection flow through a flexible baffle in an L-shaped enclosure, Meccanica, 55(8) (2020) 1561-1584.
[7] M. Ghalambaz, S. Mehryan, R.K. Feeoj, A. Hajjar, I. Hashim, R.B. Mahani, Free convective heat transfer of a non-Newtonian fluid in a cavity containing a thin flexible heater plate: an Eulerian–Lagrangian approach, Journal of Thermal Analysis and Calorimetry,  (2020) 1-16.
[8] S. Mehryan, M. Ghalambaz, R.K. Feeoj, A. Hajjar, M. Izadi, Free convection in a trapezoidal enclosure divided by a flexible partition, International Journal of Heat and Mass Transfer, 149 (2020) 119186.
[9] S. Mehryan, E. Izadpanahi, M. Ghalambaz, A. Chamkha, Mixed convection flow caused by an oscillating cylinder in a square cavity filled with Cu–Al 2 O 3/water hybrid nanofluid, Journal of Thermal Analysis and Calorimetry, 137(3) (2019) 965-982.
[10] A. Alsabery, M. Sheremet, M. Ghalambaz, A. Chamkha, I. Hashim, Fluid-structure interaction in natural convection heat transfer in an oblique cavity with a flexible oscillating fin and partial heating, Applied Thermal Engineering, 145 (2018) 80-97.
[11] H. Saleh, Z. Siri, I. Hashim, Role of fluid-structure interaction in mixed convection from a circular cylinder in a square enclosure with double flexible oscillating fins, International Journal of Mechanical Sciences, 161 (2019) 181-187.
[12] E. Jamesahar, M. Ghalambaz, A.J. Chamkha, Fluid–solid interaction in natural convection heat transfer in a square cavity with a perfectly thermal-conductive flexible diagonal partition, International Journal of Heat and Mass Transfer, 100 (2016) 303-319.
[13] A. Raisi, I. Arvin, A numerical study of the effect of fluid-structure interaction on transient natural convection in an air-filled square cavity, International Journal of Thermal Sciences, 128 (2018) 1-14.
[14] T. Basak, S. Roy, A. Balakrishnan, Effects of thermal boundary conditions on natural convection flows within a square cavity, International Journal of Heat and Mass Transfer, 49(23-24) (2006) 4525-4535.
[15] E. Heydari, A. Shatery, Investigation of the effects of two-way interaction between fluid and solid on transient natural displacement inside a square chamber with an elastic blade, Mechanical Engineering modares, 15(9) (2016) 396-406.( in persian)
[16] m. Khosravy, Investigation of free heat transfer within a chamber using the Boltzmann lattice method, Ministry of Science, Research and Technology - Shahrekord University - School of Engineering, 2012.
[17] X. Sun, Z. Ye, J. Li, K. Wen, H. Tian, Forced convection heat transfer from a circular cylinder with a flexible fin, International Journal of Heat and Mass Transfer, 128 (2019) 319-334.
[18] S. Jani, M. Mahmoodi, M. Amini, Natural Convection at Different Prandtl Numbers in Rectangular Cavities with a Fin on the Cold Wall, The Journal Of Energy: Engineering & Management, 2(4) (2012) 58-69.
[19] S. Nada, Natural convection heat transfer in horizontal and vertical closed narrow enclosures with heated rectangular finned base plate, International journal of heat and mass transfer, 50(3-4) (2007) 667-679.
[20] B.-S. Kim, D.-S. Lee, H.-S. Yoon, H.-G. Lee, M.-Y. Ha, A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations, Transactions of the Korean Society of Mechanical Engineers B, 31(3) (2007) 273-282.
[21] E. Sourtiji, D. Ganji, S. Seyyedi, Free convection heat transfer and fluid flow of Cu–water nanofluids inside a triangular–cylindrical annulus, Powder Technology, 277 (2015) 1-10.
[22] T. Richter, Numerical methods for fluid-structure interaction problems, Institute for Applied Mathematics, University of Heidelberg, Germany,  (2010).
[23] M. Ghalambaz, S.M.H. Zadeh, S. Mehryan, I. Pop, D. Wen, Analysis of melting behavior of PCMs in a cavity subject to a non-uniform magnetic field using a moving grid technique, Applied Mathematical Modelling, 77 (2020) 1936-1953.
[24] R.W. Ogden, Non-linear elastic deformations, Courier Corporation, 1997.
[25] J. Donea, A. Huerta, J.-P. Ponthot, A. Rodriguez-Ferran, Arbitrary lagrangian-eulerian methods, volume 1 of encyclopedia of computational mechanics, chapter 14, John Wiley & Sons Ltd, 3 (2004) 1-25.
[26] A.C. Hindmarsh, P.N. Brown, K.E. Grant, S.L. Lee, R. Serban, D.E. Shumaker, C.S. Woodward, SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers, ACM Transactions on Mathematical Software (TOMS), 31(3) (2005) 363-396.
[27] B. Kim, D. Lee, M. Ha, H. Yoon, A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations, International journal of heat and mass transfer, 51(7-8) (2008) 1888-1906.
[28] J. Rahman Nezhad, S.A. Mirbozorgi, Numerical simulation of free convection around a stationary cylinder with constant heat flux and different diagonal locations using IB-LBM, Modares Mechanical Engineering, 17(4) (2017) 419-430.
[29] J. Lee, M. Ha, H. Yoon, Natural convection in a square enclosure with a circular cylinder at different horizontal and diagonal locations, International Journal of Heat and Mass Transfer, 53(25-26) (2010) 5905-5919.
Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 11
February 2022
Pages 5461-5484

Files

Share

How to cite

Statistics