Skip to main content
Erschienen in: Meccanica 3/2016

06.06.2015

Three dimensional simulations for convection induced by the selective absorption of radiation for the Brinkman model

verfasst von: A. J. Harfash

Erschienen in: Meccanica | Ausgabe 3/2016

Einloggen

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

search-config
loading …

Abstract

Convection induced by the selective absorption of radiation in a porous medium is studied analytically and numerically using the Brinkman model. Both linear instability analysis and nonlinear stability analysis are employed. Then, the validity of both the linear instability and global nonlinear energy stability thresholds are tested using three dimensional simulation. Our results show that the linear theory produce a good predicts on the onset of instability in the basic steady state.

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Krishnamurti R (1997) Convection induced by selective absorption of radiation: a laboratory model of conditional instability. Dyn Atmos Ocean 27:367–382CrossRefADS Krishnamurti R (1997) Convection induced by selective absorption of radiation: a laboratory model of conditional instability. Dyn Atmos Ocean 27:367–382CrossRefADS
2.
Zurück zum Zitat Straughan B (2002) Global stability for convection induced by absorption of radiation. Dyn Atmos Ocean 35:351–361CrossRefADS Straughan B (2002) Global stability for convection induced by absorption of radiation. Dyn Atmos Ocean 35:351–361CrossRefADS
3.
Zurück zum Zitat Chang MH (2004) Stability of convection induced by selective absorption of radiation in a fluid overlying a porous layer. Phys Fluids 16:3690–3698CrossRefADS Chang MH (2004) Stability of convection induced by selective absorption of radiation in a fluid overlying a porous layer. Phys Fluids 16:3690–3698CrossRefADS
4.
Zurück zum Zitat Olali PB (2013) Double-diffusive convection induced by selective absorption of radiation in a fluid overlying a porous layer. Meccanica 48:201–210CrossRefMathSciNetMATH Olali PB (2013) Double-diffusive convection induced by selective absorption of radiation in a fluid overlying a porous layer. Meccanica 48:201–210CrossRefMathSciNetMATH
6.
7.
Zurück zum Zitat Straughan B (1993) Mathematical aspects of penetrative convection. Longman, Harlow Straughan B (1993) Mathematical aspects of penetrative convection. Longman, Harlow
8.
Zurück zum Zitat Roberts PH (1967) Convection in horizontal layers with internal heat generation. Theory J Fluid Mech 30:33–49CrossRefADS Roberts PH (1967) Convection in horizontal layers with internal heat generation. Theory J Fluid Mech 30:33–49CrossRefADS
9.
10.
Zurück zum Zitat Straughan B, Walker DW (1996) Anisotropic porous penetrative convection. Proc R Soc Lond A 452:97–115CrossRefADSMATH Straughan B, Walker DW (1996) Anisotropic porous penetrative convection. Proc R Soc Lond A 452:97–115CrossRefADSMATH
11.
Zurück zum Zitat Harfash AJ, Straughan B (2012) Magnetic effect on instability and nonlinear stability in a reacting fluid. Meccanica 47:1849–1857CrossRefMathSciNetMATH Harfash AJ, Straughan B (2012) Magnetic effect on instability and nonlinear stability in a reacting fluid. Meccanica 47:1849–1857CrossRefMathSciNetMATH
12.
Zurück zum Zitat Harfash AJ (2014) Convection in a porous medium with variable gravity field and magnetic field effects. Transp Porous Media 103:361–379CrossRefMathSciNet Harfash AJ (2014) Convection in a porous medium with variable gravity field and magnetic field effects. Transp Porous Media 103:361–379CrossRefMathSciNet
13.
Zurück zum Zitat Harfash AJ (2014) Stability analysis of penetrative convection in anisotropic porous media with variable permeability. J Non Equilib Thermodyn 139:123–133 Harfash AJ (2014) Stability analysis of penetrative convection in anisotropic porous media with variable permeability. J Non Equilib Thermodyn 139:123–133
14.
Zurück zum Zitat Harfash AJ (2015) Magnetic effect on convection in a porous medium with chemical reaction effect. Transp Porous Media 106:163–179CrossRefMathSciNet Harfash AJ (2015) Magnetic effect on convection in a porous medium with chemical reaction effect. Transp Porous Media 106:163–179CrossRefMathSciNet
15.
Zurück zum Zitat Harfash AJ, Alshara AK (2015) A direct comparison between the negative and positive effects of throughflow on the thermal convection in an anisotropy and symmetry porous medium. Zeitschrift Fur Naturforschung A 70:383–394ADS Harfash AJ, Alshara AK (2015) A direct comparison between the negative and positive effects of throughflow on the thermal convection in an anisotropy and symmetry porous medium. Zeitschrift Fur Naturforschung A 70:383–394ADS
16.
Zurück zum Zitat Chaudhary S, Kumar P (2014) MHD forced convection boundary layer flow with a flat plate and porous substrate. Meccanica 49:69–77CrossRefMathSciNetMATH Chaudhary S, Kumar P (2014) MHD forced convection boundary layer flow with a flat plate and porous substrate. Meccanica 49:69–77CrossRefMathSciNetMATH
19.
Zurück zum Zitat Ganapathirao M, Revathi G, Ravindran R (2014) Unsteady mixed convection boundary layer flow over a vertical cone with non-uniform slot suction (injection). Meccanica 49:673–686CrossRefMathSciNetMATH Ganapathirao M, Revathi G, Ravindran R (2014) Unsteady mixed convection boundary layer flow over a vertical cone with non-uniform slot suction (injection). Meccanica 49:673–686CrossRefMathSciNetMATH
22.
Zurück zum Zitat Shivakumara IS, Reddy RG, Ravisha M, Lee J (2014) Effect of rotation on ferromagnetic porous convection with a thermal non-equilibrium model. Meccanica 49:1139–1157CrossRefMathSciNetMATH Shivakumara IS, Reddy RG, Ravisha M, Lee J (2014) Effect of rotation on ferromagnetic porous convection with a thermal non-equilibrium model. Meccanica 49:1139–1157CrossRefMathSciNetMATH
23.
Zurück zum Zitat Umavathi JC, Mohite MB (2014) The onset of convection in a nanofluid saturated porous layer using Darcy model with cross diffusion. Meccanica 49:1159–1175CrossRefMathSciNetMATH Umavathi JC, Mohite MB (2014) The onset of convection in a nanofluid saturated porous layer using Darcy model with cross diffusion. Meccanica 49:1159–1175CrossRefMathSciNetMATH
24.
Zurück zum Zitat Kumari M, Nath G (2014) Steady mixed convection flow of Maxwell fluid over an exponentially stretching vertical surface with magnetic field and viscous dissipation. Meccanica 49:1263–1274CrossRefMathSciNetMATH Kumari M, Nath G (2014) Steady mixed convection flow of Maxwell fluid over an exponentially stretching vertical surface with magnetic field and viscous dissipation. Meccanica 49:1263–1274CrossRefMathSciNetMATH
25.
Zurück zum Zitat El-Aziz MA, Nabil T (2015) Effect of time-dependent heat source/sink on slip flow and heat transfer from a stretching surface with homotopy analysis method. Meccanica. doi:10.1007/s11012-015-0113-4 El-Aziz MA, Nabil T (2015) Effect of time-dependent heat source/sink on slip flow and heat transfer from a stretching surface with homotopy analysis method. Meccanica. doi:10.​1007/​s11012-015-0113-4
26.
Zurück zum Zitat Megahed AM (2015) Flow and heat transfer of a non-Newtonian power-law fluid over a non-linearly stretching vertical surface with heat flux and thermal radiation. Meccanica. doi:10.1007/s11012-015-0114-3 Megahed AM (2015) Flow and heat transfer of a non-Newtonian power-law fluid over a non-linearly stretching vertical surface with heat flux and thermal radiation. Meccanica. doi:10.​1007/​s11012-015-0114-3
27.
Zurück zum Zitat Pal D, Mandal G (2015) MHD convective stagnation-point flow of nanofluids over a non-isothermal stretching sheet with induced magnetic field. Meccanica. doi:10.1007/s11012-015-0153-9 Pal D, Mandal G (2015) MHD convective stagnation-point flow of nanofluids over a non-isothermal stretching sheet with induced magnetic field. Meccanica. doi:10.​1007/​s11012-015-0153-9
28.
Zurück zum Zitat Rashidi MM, Freidoonimehr N, Hosseini A, Bég OA, Hung TK (2014) Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration. Meccanica 49:469–482CrossRefMATH Rashidi MM, Freidoonimehr N, Hosseini A, Bég OA, Hung TK (2014) Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration. Meccanica 49:469–482CrossRefMATH
29.
Zurück zum Zitat Chaudhary S, Choudhary MK, Sharma R (2015) Effects of thermal radiation on hydromagnetic flow over an unsteady stretching sheet embedded in a porous medium in the presence of heat source or sink. Meccanica. doi:10.1007/s11012-015-0137-9 Chaudhary S, Choudhary MK, Sharma R (2015) Effects of thermal radiation on hydromagnetic flow over an unsteady stretching sheet embedded in a porous medium in the presence of heat source or sink. Meccanica. doi:10.​1007/​s11012-015-0137-9
30.
Zurück zum Zitat Alam MS, Hossain SC, Rahman MM (2014) Effects of temperature dependent fluid properties and variable Prandtl number on the transient convective flow due to a porous rotating disk. Meccanica 49:2439–2451CrossRefMathSciNetMATH Alam MS, Hossain SC, Rahman MM (2014) Effects of temperature dependent fluid properties and variable Prandtl number on the transient convective flow due to a porous rotating disk. Meccanica 49:2439–2451CrossRefMathSciNetMATH
31.
Zurück zum Zitat Mustafa M, Hina S, Hayat T, Ahmad B (2014) Influence of induced magnetic field on the peristaltic flow of nanofluid. Meccanica 49:521–534CrossRefMathSciNetMATH Mustafa M, Hina S, Hayat T, Ahmad B (2014) Influence of induced magnetic field on the peristaltic flow of nanofluid. Meccanica 49:521–534CrossRefMathSciNetMATH
32.
Zurück zum Zitat Capone F, De Luca R (2014) Coincidence between linear and global nonlinear stability of non-constant throughflows via the Rionero Auxiliary System Method. Meccanica 49:2025–2036MathSciNetMATH Capone F, De Luca R (2014) Coincidence between linear and global nonlinear stability of non-constant throughflows via the Rionero Auxiliary System Method. Meccanica 49:2025–2036MathSciNetMATH
33.
Zurück zum Zitat Ponalagusamy R, Tamil Selvi R (2015) Influence of magnetic field and heat transfer on two-phase fluid model for oscillatory blood flow in an arterial stenosis. Meccanica 50:927–943CrossRefMathSciNet Ponalagusamy R, Tamil Selvi R (2015) Influence of magnetic field and heat transfer on two-phase fluid model for oscillatory blood flow in an arterial stenosis. Meccanica 50:927–943CrossRefMathSciNet
34.
Zurück zum Zitat Amahmid A, Hasnaoui M, Mamou M, Vasseur P (1999) Double-diffusive parallel flow induced in a horizontal Brinkman porous layer subjected to constant heat and mass fluxes: analytical and numerical studies. Heat Mass Transf 35:409–421CrossRefADS Amahmid A, Hasnaoui M, Mamou M, Vasseur P (1999) Double-diffusive parallel flow induced in a horizontal Brinkman porous layer subjected to constant heat and mass fluxes: analytical and numerical studies. Heat Mass Transf 35:409–421CrossRefADS
35.
Zurück zum Zitat Mamou M, Hasnaoui M, Amahmid A, Vasseur P (1998) Stability analysis of double-diffusive convection in a vertical Brinkman porous enclosure. Int Commun Heat Mass Transf 25:491–500CrossRef Mamou M, Hasnaoui M, Amahmid A, Vasseur P (1998) Stability analysis of double-diffusive convection in a vertical Brinkman porous enclosure. Int Commun Heat Mass Transf 25:491–500CrossRef
36.
Zurück zum Zitat Amahmid A, Hasnaoui M, Vasseur P (1999) Etude analytique et numerique de la convection naturelle dans une couche poreuse de Brinkman doublement diffusive. Int J Heat Mass Transf 42:2991–3005CrossRefMATH Amahmid A, Hasnaoui M, Vasseur P (1999) Etude analytique et numerique de la convection naturelle dans une couche poreuse de Brinkman doublement diffusive. Int J Heat Mass Transf 42:2991–3005CrossRefMATH
37.
Zurück zum Zitat Poulikakos D (1986) Double-diffusive convection in a horizontally sparsely packed porous layer. Int Commun Heat Mass Transf 13:587–598CrossRef Poulikakos D (1986) Double-diffusive convection in a horizontally sparsely packed porous layer. Int Commun Heat Mass Transf 13:587–598CrossRef
38.
Zurück zum Zitat Harfash AJ (2014) Three dimensions simulation for the problem of a layer of non-Boussinesq fluid heated internally with prescribed heat flux on the lower boundary and constant temperature upper surface. Int J Eng Sci 74:91–102CrossRefMathSciNet Harfash AJ (2014) Three dimensions simulation for the problem of a layer of non-Boussinesq fluid heated internally with prescribed heat flux on the lower boundary and constant temperature upper surface. Int J Eng Sci 74:91–102CrossRefMathSciNet
39.
Zurück zum Zitat Harfash AJ (2014) Three-dimensional simulations for convection in a porous medium with internal heat source and variable gravity effects. Transp Porous Media 101:281–297CrossRefMathSciNet Harfash AJ (2014) Three-dimensional simulations for convection in a porous medium with internal heat source and variable gravity effects. Transp Porous Media 101:281–297CrossRefMathSciNet
40.
Zurück zum Zitat Harfash AJ (2014) Three dimensional simulation of radiation induced convection. Appl Math Comput 227:92–101CrossRefMathSciNet Harfash AJ (2014) Three dimensional simulation of radiation induced convection. Appl Math Comput 227:92–101CrossRefMathSciNet
41.
Zurück zum Zitat Harfash AJ (2014) Three-dimensional simulations for convection problem in anisotropic porous media with nonhomogeneous porosity, thermal diffusivity, and variable gravity effects. Transp Porous Media 102:43–57CrossRefMathSciNet Harfash AJ (2014) Three-dimensional simulations for convection problem in anisotropic porous media with nonhomogeneous porosity, thermal diffusivity, and variable gravity effects. Transp Porous Media 102:43–57CrossRefMathSciNet
42.
Zurück zum Zitat Harfash AJ (2014) Three dimensional simulations for penetrative convection in a porous medium with internal heat sources. Acta Mechanica Sinica 30:144–152CrossRefADSMathSciNet Harfash AJ (2014) Three dimensional simulations for penetrative convection in a porous medium with internal heat sources. Acta Mechanica Sinica 30:144–152CrossRefADSMathSciNet
43.
Zurück zum Zitat Harfash AJ, Hill AA (2014) Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media. Int J Heat Mass Transf 72:609–615CrossRef Harfash AJ, Hill AA (2014) Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media. Int J Heat Mass Transf 72:609–615CrossRef
44.
Zurück zum Zitat Harfash AJ (2015) Three dimensional simulations and stability analysis for convection induced by absorption of radiation. Int J Numer Methods Heat Fluid Flow 25:810–824CrossRefMathSciNet Harfash AJ (2015) Three dimensional simulations and stability analysis for convection induced by absorption of radiation. Int J Numer Methods Heat Fluid Flow 25:810–824CrossRefMathSciNet
45.
46.
Zurück zum Zitat Straughan B (2004) The energy method, stability, and nonlinear convection, vol 91, 2nd edn. Springer, Series in Applied Mathematical Sciences Straughan B (2004) The energy method, stability, and nonlinear convection, vol 91, 2nd edn. Springer, Series in Applied Mathematical Sciences
47.
Zurück zum Zitat Harfash AJ (2015) Numerical methods for solving some hydrodynamic stability problems. Int J Appl Comput Math 1:293–326CrossRefMathSciNet Harfash AJ (2015) Numerical methods for solving some hydrodynamic stability problems. Int J Appl Comput Math 1:293–326CrossRefMathSciNet
Metadaten
Titel
Three dimensional simulations for convection induced by the selective absorption of radiation for the Brinkman model
verfasst von
A. J. Harfash
Publikationsdatum
06.06.2015
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 3/2016
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-015-0215-z

Weitere Artikel der Ausgabe 3/2016

Meccanica 3/2016 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.