Journal of Aeronautical Engineering

Journal of Aeronautical Engineering

Numerical analysis of the thermal conduction of a triangular solid region on the flow and free convection heat transfer in a two-dimensional cavity containing nanofluid

Document Type : Original Article

Authors
Meysam Mahmoudi 1
davood moosavian 2
1 velayat uni
2 دانشگاه ستاری
10.22034/joae.2023.355188.1122
Abstract
In this article, the correlated free convection heat transfer in a rectangular cavity containing nanofluid and with a triangular solid area was investigated numerically.The governing equations written in terms of the primitive variables were solved numerically using the finite volume method while the velocity and pressure fields were coupled using the SIMPLER algorithm. Correlated characteristics such as the thickness of the triangular solid area (dimensions of the triangular solid area) and the ratio of the thermal conductivity coefficient of the triangular solid area to the nanofluid on the flow and free convection heat transfer cavity were investigated. Studies have been carried out for the Rayleigh number Ra  105, and constant volume fraction ϕ=0.02 for the ratio of thermal conductivity coefficients Kr = 0.1, Kr = 1 and Kr = 10,as well as for different dimensions of the triangular solid area.The results showed that with the increase in the ratio of the dimensions and thickness of the triangular solid region, as well as the ratio of the conductivity coefficient in a constant Rayleigh number, the temperature and velocity of the nanofluid increase. Also, with the increase in the ratio of the dimensions of the triangular solid area and the ratio of the conductivity coefficient, the values of the average Nusselt numbers increase along the walls, and more heat transfer passes through the solid-fluid interface.
Keywords
Correlated Natural Convection
Numerical Solution
Two-dimensional Enclosure
Wall Conduction
Triangular
Subjects
  • kord, M. Ghalambaz, “Effect of heater location and size on heat transfer of natural displacement of nanofluid inside a triangular closed chamber saturated with porous medium in the state of no thermal resistance”, J. Mech. Eng. Heat Transf. Vol. 3, pp. 21-30, 2016. inPersian.
  • K. Singh, “Thermal Conductivity of Nanofluids”, Defence Sci. J., Vol. 58, pp. 600-607, Sep. 2008.
  • Tahmasabi, A. R. Noghrehabadi, A. Azimi, “Analysis of the effect of the thermal conduction of the chamber walls on the correlated natural convection heat transfer in a square chamber filled with a porous material in a state of thermal imbalance.” J. Mech. Eng. Heat Transf. Vol. 3, pp. 7-15, 2016. inPersian.
  • M., Kim, R, Viskanta, “Study of the effects of wall conductance on natural convection in differently oriented square cavities”, J. Fluid Mech., Vol. 144, pp. 153–176, Jul. 1984.
  • M., Kim, R, Viskanta, “Effect of wall heat conduction on natural convection heat transfer in a square enclosure”. J. Heat Transf., Vol. 107, pp. 139–146, Feb. 1985.
  • A. Kaminski, C. Prakash, “Conjugate natural convection in a square enclosure: effect of conduction in one of the vertical walls”, Int. J. Thermal Sci., Vol. 29, pp. 1979–1988, Dec. 1986.
  • Misra, A. Sarkar, “Finite element analysis of conjugate natural convectionin a square enclosure with a conducting vertical wall”, Comp. Methodsin Applied Mech. and Eng., Vol. 141, pp. 205–219, Feb. 1997.
  • Acharya, C.H. Tsang, “Influence of wall conduction on natural convectionin an inclined square enclosure”, J. Heat Mass Transf., Vol. 21, pp. 19–30, 1987.
  • B. Yedder, E. Bilgen, “Laminar natural convection in inclined enclosures bounded by a solid wall”, J. Heat Mass Transf., Vol. 32, pp. 455–462, Aug. 1997.
  • Abdennacer, B. Smail, A. Said, “Effect of Wall Conductivity on Conjugate Natural Convection in a Square Enclosure with Finite Vertical Wall Thickness.” Adv. Theor. Appl. Mech., Vol. 5, no. 4, 179 – 90 . Feb. 2012.
  • Al-Amiri, Kh. Khanafer, I. Pop, “Steady-state conjugate natural convection in a fluid-saturated porous cavity”, Int. J. Heat Mass Transfer, Vol. 51, pp. 4260–4275, Aug. 2008.
  • H. Saeid, “Conjugate natural convection in a porous enclosure effect of conduction in one of the vertical walls.” Int. J. Thermal Sci. Vol. 46, pp. 531-539. June 2007.
  • V. Kuznetsov, M. Sheremet, “Conjugate natural convection with radiation in an enclosure”, Int. J. Heat Mass Transf., Vol. 52, pp. 2215-2223, Apr. 2009.
  • L. Frederick, “Natural convection in an inclined square enclosure with a partition attached to its cold wall”, Int. J. Heat Mass Transf., Vol. 32, pp. 87–94, Jan. 1998.
  • M. House, C. Beckermann, T.F. Smith, “Effect of a centered conducting body on natural convection heat transfer in an enclosure”, Numerical Heat Transf., Part A: Applications, Vol. 18, Issue 2, pp. 213–225, Sep. 1990.
  • R. Lee, M.Y. Ha, “A numerical study of natural convection in a horizontal enclosure with a conducting body”, Int. J. Heat Mass Transf., Vol. 48, Issue 16, pp. 3308–3318, Jul. 2005.
  • Bhave, A. Narasimhan, D. A. S. Rees, “Natural convection heat transfer enhancement using adiabatic block: optimal block size and Prandtl number effect”, Int. J. Heat Mass Transf., Vol. 49, Issues 21–22, pp. 3807–3818, Oct. 2006.
  •  
  • E. L. Abdallaoui, M. Hasnaoui, A. Amahmid, “Lattice-Boltzmann modeling of natural convection between a square outer cylinder and an inner isosceles triangular heating body”, Numerical Heat Transf., Part A: Applications, Vol. 66, pp. 1076–1096, Nov. 2014.
  • Boulahia Z., Wakif A., Sehaqui R, “ Natural Convection Heat Transfer of the nanofluids in a Square Enclosure with an Inside Cold Obstacle“, J. Heat Transf., Vol. 21, pp 367-375. Apr. 2016.
  • Dzodzo D.M.C., Dzodzo M.B., Pavlovic M.D., “Laminar natural convection in a fully partitioned enclosure containing fluid with nonlinear thermophysical properties“ Heat Mass Transf. Vol. 20, pp. 614 -623. Dec. 1999
  • Selimefendigil, O. Hakan, “Conjugate natural convection in a cavity with a conductive partition and filled with different nanofluids on different sides of the partition“ , J. Molecular Liquids, Vol. 216, pp 67-77. Apr. 2016
  • S. Dogonchi,. “Heat transfer by natural convection of Fe3O4-water nanofluid in an annulus between a wavy circular cylinder and a rhombus“, Int. J. Heat Mass Transf. Vol. 232, pp. 130 320,. Mar. 2019
  • A. Rizwan-ul-Haq, Soomro, Z. Hammouch, “Heat transfer analysis of CuO- water enclosed in a partially heated rhombus with heated square obstacle”, Int. J. Heat Mass Transf. Vol. 118 pp. 773–784, 11.04, Mar. 2018.
  • Z. Liu, L. Wang, W.C. Zhang, F. Y. Zhao, J. H. Guo, “Conjugate fluid, heat and species transports inside an enclosure containing miscellaneous solid arrays: General models of electronic cooling and pollutant removals”. Int. J. thermal sci. Vol. 166, pp.640-662. Aug. 2021
  • Hasnaoui, A. Mansouri, A. Amahmid, M. Alouah, “Numerical analysis of conjugate convection-conduction heat transfer in an air-filled cavity with a rhombus conducting block subjected to subdivision: Cooperating and opposing roles” Int. J. Heat and Mass Transf. Vol. 150, pp.254-270 Apr. 2020
  • Izadi, R. Mohebbi, D. Karimi, M.A. Sheremet,. “Numerical simulation of natural convection heat transfer inside a ┴ shaped cavity filled by a MWCNT-Fe3O4 /water hybrid nanofluids using LBM”, Chem. Eng. & Processing Process Intensification, Vol. 125, p.p. 56–66, Mar. 2018.
  • M. Rahmana, M.M. Billah Rahman A.T.M.M., Kalam M.A., Ahsan A. ,"Numerical investigation of heat transfer enhancement of nanofluids in an inclined lid-driven triangular enclosure" Int. Communications Heat Mass Transf. vol. 38, pp 1360–1367. Dec. 2011.
  • -T. Hu, X.-H Ren, D. Liu, F.-Y. Zhao, H.-Q. Wang, “Conjugate natural convection inside a vertical enclosure with solid obstacles of unique volume and multiple morphologies“ Int. J. Heat Mass Transf. 95 pp. 1096–1114, Apr. 2016
Journal of Aeronautical Engineering
Volume 25, Issue 2
September 2023
Pages 1-11

  • Receive Date 07 August 2022
  • Revise Date 13 September 2022
  • Accept Date 30 September 2023