Skip to main content
Erschienen in: Arabian Journal for Science and Engineering 7/2020

30.04.2020 | Research Article-Mechanical Engineering

Study of Periodic Thermal Exchange in a Cavity Ventilated by Displacement

verfasst von: Z. Hireche, L. Nasseri, D. E. Ameziani

Erschienen in: Arabian Journal for Science and Engineering | Ausgabe 7/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The lattice Boltzmann method with multiple relaxation times has been used to solve numerically the momentum and the heat transfer governing equations. The laminar convection has been studied in two-dimensional square cavity. The temperature of the left wall varies sinusoidally depending on the time, while the other walls are maintained adiabatic. The cavity is ventilated by two diagonally opposed openings, where the injection is at the bottom of the active wall and the aspiration at the top. The control parameters are the temperature amplitude, varying from 0 to 0.9, the Rayleigh number ranged from 10 to 10+6 which can be expressed in term of Richardson by the range 0.0056 ≤ Ri ≤ 5.63, the Reynolds number is taken as: 50 ≤ Re ≤ 500, and the number of Prandtl is that of the air (Pr = 0.71). The obtained results in terms of streamlines, isotherms and heat transfer rates, expressed by the averaged Nusselt number, as a function of time and for establishment period are presented for different parameters. It is observed that the control parameters, temperature amplitude, Reynolds and Rayleigh numbers have a significant effect on both the flow and the thermal structure fields. It has been revealed that the optimum heating amplitude presents an important factor in order to minimize the cooling demand, that is for amplitude values greater than 0.4 and low Reynolds number (Re ≤ 200), the transfer rate takes negative values, indicating that the cooling phenomena occur between the hot wall and the fluid (from the fluid to the hot wall).

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
3.
Zurück zum Zitat Hernández-López, I.; Xamán, J.; Álvarez, G.; Chávez, Y.; Arce, J.: Analysis of laminar and turbulent natural, mixed and forced convection in cavities by heatlines. Arch. Mech. 68(1), 27–53 (2016)MathSciNetMATH Hernández-López, I.; Xamán, J.; Álvarez, G.; Chávez, Y.; Arce, J.: Analysis of laminar and turbulent natural, mixed and forced convection in cavities by heatlines. Arch. Mech. 68(1), 27–53 (2016)MathSciNetMATH
5.
Zurück zum Zitat Singh, S.; Sharif, M.A.R.: Numerical study of mixed-convective cooling of a rectangular cavity with differentially heated side walls. In: IECEC ‘02. 2002 37th Intersociety Energy Conversion Engineering Conference, 29–31 July 2002, pp. 765–770 Singh, S.; Sharif, M.A.R.: Numerical study of mixed-convective cooling of a rectangular cavity with differentially heated side walls. In: IECEC ‘02. 2002 37th Intersociety Energy Conversion Engineering Conference, 29–31 July 2002, pp. 765–770
7.
Zurück zum Zitat Xamán, J.; Tun, J.; Álvarez, G.; Chavez, Y.; Noh, F.: Optimum ventilation based on the overall ventilation effectiveness for temperature distribution in ventilated cavities. Int. J. Therm. Sci. 48(8), 1574–1585 (2009)CrossRef Xamán, J.; Tun, J.; Álvarez, G.; Chavez, Y.; Noh, F.: Optimum ventilation based on the overall ventilation effectiveness for temperature distribution in ventilated cavities. Int. J. Therm. Sci. 48(8), 1574–1585 (2009)CrossRef
9.
Zurück zum Zitat Morsli, S.; Ramenah, H.; El Ganaoui, M.; Bennacer, R.: Effect of aligned and misaligned ventilation opening affecting energy demand and air quality in buildings. Eur. Phys. J. Appl. Phys. 83(1), 10901 (2018)CrossRef Morsli, S.; Ramenah, H.; El Ganaoui, M.; Bennacer, R.: Effect of aligned and misaligned ventilation opening affecting energy demand and air quality in buildings. Eur. Phys. J. Appl. Phys. 83(1), 10901 (2018)CrossRef
11.
Zurück zum Zitat Billah, M.; Rahmann M.: A numerical study on MHD mixed convection in a ventilated cavity. In: The 13th Asian Congress of Fluid Mechanics, ACFM, Dhaka, Bangladesh pp. 17–21 (2010) Billah, M.; Rahmann M.: A numerical study on MHD mixed convection in a ventilated cavity. In: The 13th Asian Congress of Fluid Mechanics, ACFM, Dhaka, Bangladesh pp. 17–21 (2010)
14.
Zurück zum Zitat Ngondiep, A.; Gonzalez, M.; Patte-Rouland, B.; Paranthoën, P.: Flows produced by a forced plume in a ventilated enclosure. J. Phys. Conf. Ser. 395(1), 012097 (2012)CrossRef Ngondiep, A.; Gonzalez, M.; Patte-Rouland, B.; Paranthoën, P.: Flows produced by a forced plume in a ventilated enclosure. J. Phys. Conf. Ser. 395(1), 012097 (2012)CrossRef
15.
Zurück zum Zitat Saha, S.; Saha, G.; Ali, M.; Islam, M.Q.: Combined free and forced convection inside a two-dimensional multiple ventilated rectangular enclosure. ARPN J. Eng. Appl. Sci. 1(3), 23–35 (2006) Saha, S.; Saha, G.; Ali, M.; Islam, M.Q.: Combined free and forced convection inside a two-dimensional multiple ventilated rectangular enclosure. ARPN J. Eng. Appl. Sci. 1(3), 23–35 (2006)
16.
Zurück zum Zitat Saha, S.; Mamun, A.H.; Hossain, M.Z.; Islam, A.; Saha, S.; Mamun, A.H.; Hossain, M.Z.; Sadrul Islam, A.: Mixed convection in an enclosure with different inlet and exit configurations. J. Appl. Fluid Mech. 1(1), 78–93 (2008) Saha, S.; Mamun, A.H.; Hossain, M.Z.; Islam, A.; Saha, S.; Mamun, A.H.; Hossain, M.Z.; Sadrul Islam, A.: Mixed convection in an enclosure with different inlet and exit configurations. J. Appl. Fluid Mech. 1(1), 78–93 (2008)
17.
Zurück zum Zitat 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(2), 502–520 (2007)CrossRef 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(2), 502–520 (2007)CrossRef
28.
Zurück zum Zitat Rahman, M.M.; Alim, M.; Mamun, M.: Finite element analysis of mixed convection in a rectangular cavity with a heat-conducting horizontal circular cylinder. Nonlinear Anal. Model. Control 14(2), 217–247 (2009)MATHCrossRef Rahman, M.M.; Alim, M.; Mamun, M.: Finite element analysis of mixed convection in a rectangular cavity with a heat-conducting horizontal circular cylinder. Nonlinear Anal. Model. Control 14(2), 217–247 (2009)MATHCrossRef
32.
Zurück zum Zitat Tekitek, M.M.; Bouzidi, M.; Dubois, F.; Lallemand, P.: Adjoint lattice Boltzmann equation for parameter identification. Comput. Fluids 35(8–9), 805–813 (2006)MATHCrossRef Tekitek, M.M.; Bouzidi, M.; Dubois, F.; Lallemand, P.: Adjoint lattice Boltzmann equation for parameter identification. Comput. Fluids 35(8–9), 805–813 (2006)MATHCrossRef
33.
Zurück zum Zitat d’Humieres, D.: Generalized lattice-Boltzmann equations. Rarefied gas dynamics: theory and simulations. Prog. Astronaut. Aeronaut. 159, 450–458 (1992) d’Humieres, D.: Generalized lattice-Boltzmann equations. Rarefied gas dynamics: theory and simulations. Prog. Astronaut. Aeronaut. 159, 450–458 (1992)
35.
Zurück zum Zitat Du, R.; Liu, W.: A new multiple-relaxation-time lattice Boltzmann method for natural convection. J. Sci. Comput. 56(1), 122–130 (2013)MathSciNetMATHCrossRef Du, R.; Liu, W.: A new multiple-relaxation-time lattice Boltzmann method for natural convection. J. Sci. Comput. 56(1), 122–130 (2013)MathSciNetMATHCrossRef
37.
Zurück zum Zitat Mohamad, A.A.: Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Code. Springer, Berlin (2011)MATHCrossRef Mohamad, A.A.: Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Code. Springer, Berlin (2011)MATHCrossRef
38.
Zurück zum Zitat Lallemand, P.; Luo, L.S.: Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61(6), 6546 (2000)MathSciNetCrossRef Lallemand, P.; Luo, L.S.: Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61(6), 6546 (2000)MathSciNetCrossRef
40.
Zurück zum Zitat Rahman, M.M.; Alim, M.; Saha, S.; Chowdhury, M.: Effect of the presence of a heat conducting horizontal square block on mixed convection inside a vented square cavity. Nonlinear Anal. Model. Control 14(4), 531–548 (2009)MATHCrossRef Rahman, M.M.; Alim, M.; Saha, S.; Chowdhury, M.: Effect of the presence of a heat conducting horizontal square block on mixed convection inside a vented square cavity. Nonlinear Anal. Model. Control 14(4), 531–548 (2009)MATHCrossRef
Metadaten
Titel
Study of Periodic Thermal Exchange in a Cavity Ventilated by Displacement
verfasst von
Z. Hireche
L. Nasseri
D. E. Ameziani
Publikationsdatum
30.04.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Arabian Journal for Science and Engineering / Ausgabe 7/2020
Print ISSN: 2193-567X
Elektronische ISSN: 2191-4281
DOI
https://doi.org/10.1007/s13369-020-04556-w

Weitere Artikel der Ausgabe 7/2020

Arabian Journal for Science and Engineering 7/2020 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.