nach oben

Arabian Journal for Science and Engineering

Erschienen in:

16.12.2019 | Research Article - Mechanical Engineering

Impacts of Variable Porosity and Variable Permeability on the Thermal Augmentation of Cu–H₂O Nanofluid-Drenched Porous Trapezoidal Enclosure Considering Thermal Nonequilibrium Model

verfasst von: Sheikha M. Al-Weheibi, M. M. Rahman, M. Z. Saghir

Erschienen in: Arabian Journal for Science and Engineering | Ausgabe 2/2020

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

Our present work studies the impacts of variable porosity and variable permeability on the transient buoyancy-induced heat transmission flow of Cu–H₂O nanofluid through a holey medium (glass bead, aluminum foam and sandstone) inside a right-angle trapezoidal cavity considering thermal nonequilibrium states amid the solid matrix and the nanofluid. We carried out numerical simulation by utilizing the Galerkin finite element method. We explored the impacts of the different model parameters on the thermal characteristics in details. The obtained numerical results confirm that the critical Rayleigh number, \( {\text{Ra}}_{\text{c}} \), determining the thermal nonequilibrium state increased by increasing the Nield number, whereas it is found to be diminished with the increase in the diameter of the beads constructing the porous medium as well as with the porosity parameter. Additionally, the average Nusselt number in a porous medium having variable porosity is found to be higher compared to the medium of the uniform porosity. Increasing the variable porosity can significantly (more than 500%) increase the rate of heat transfer of the nanofluid in a porous medium. The higher porosity of the medium enhances the thermal state of a system to make it thermal nonequilibrium from the thermal equilibrium state. Furthermore, nanofluid flow in glass bead porous medium provides maximum (5% and 14% increase compared to the sandstone and aluminum foam, respectively) heat transmission rate.

Vorheriger Artikel Effects of the CNT Content and Plating Solution pH After Purification on the Performance of Ni–P/CNT Composite Coating

Nächster Artikel Research on Novel Magnetorheological Fluids Preparation Device Based on Flow Field Analysis

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!

Jetzt informieren

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!

Jetzt informieren

Rahman, M.M.; Rosca, A.V.; Pop, I.: Boundary layer flow of a nanofluid past a permeable exponentially shrinking surface with convective boundary condition using Buongiorno’s model. Int. J. Numer. Methods Heat Fluid Flow 25(2), 299–319 (2015)MathSciNetMATH

Rahman, M.M.; Al-Rashdi, M.H.; Pop, I.: Convective boundary layer flow and heat transfer in a nanofluid in the presence of second order slip, constant heat flux and zero nanoparticles flux. Nucl. Eng. Des. 297, 95–103 (2016)

Uddin, M.J.; Alam, M.S.; Rahman, M.M.: Natural convective heat transfer flow of nanofluids inside a quarter-circular enclosure using nonhomogeneous dynamic model. Arab. J. Sci. Eng. 42(5), 1883–1901 (2017)MathSciNetMATH

Uddin, M.J.; Alam, M.S.; Al-Salti, N.; Rahman, M.M.: Investigations of natural convection heat transfer in nanofluids filled horizontal semicircular-annulus using nonhomogeneous dynamic model. Am. J. Heat Mass Transf. 3(6), 425–452 (2016)

Al-Weheibi, S.M.; Rahman, M.M.; Alam, M.S.; Vajravelu, K.: Numerical simulation of natural convection heat transfer in a trapezoidal enclosure filled with nanoparticles. Int. J. Mech. Sci. 131, 599–612 (2017)

Chen, H.; Witharana, S.; Jina, Y.; Kimd, C.; Dinga, Y.: Predicting thermal conductivity of liquid suspensions of nanoparticles (nanofluids) based on Rheolog. Particuology 7(2), 151–157 (2009)

Mansour, M.A.; Ahmed, S.E.; Rashad, A.M.: MHD natural convection in a square enclosure using nanofluid with the influence of thermal boundary conditions. J. Appl. Fluid Mech. 9(5), 2515–2525 (2016)

Rashad, A.M.; Sivasankaran, S.; Mansour, M.A.; Bhuvaneswari, M.: Magneto-convection of nanofluids in a lid-driven trapezoidal cavity with internal heat generation and discrete heating. Numer. Heat Transf. Part A Appl. 71(12), 1223–1234 (2017)

Cheng, P.: Heat transfer in geothermal systems. Adv. Heat Transf. 14, 1–105 (1979)

10.

Nield, D.A.; Bejan, A.: Convection in Porous Media, 4th edn. Springer, New York (2013)MATH

11.

Rashidi, M.M.; Basiriparsa, A.; Shamekhi, L.; Momoniat, E.: Entropy generation analysis of the revised Cheng–Minkowycz problem for natural convective boundary layer flow of nanofluid in a porous medium. Therm. Sci. 19, 169–178 (2015)

12.

Rashidi, M.M.; Erfani, E.: The modified differential transforms method for investigating nano boundary-layers over stretching surfaces. Int. J. Numer. Methods Heat Fluid Flow 21, 864–883 (2011)MathSciNet

13.

Rashidi, M.M.; Momoniat, E.; Ferdows, M.; Basiriparsa, A.: Lie group solution for free convective flow of a nanofluid past a chemically reacting horizontal plate in a porous media. Math. Probl. Eng., Article ID 239082 (2014)

14.

Ingham, D.B.; Pop, I. (eds.): Transport Phenomena in Porous Media, vol. 3. Elsevier, Oxford (2005)

15.

Vafai, K.: Hand book of Porous Media, 2nd edn. Taylor & Francis, New York (2005)

16.

Vafai, K. (ed.): Porous Media: Applications in Biological Systems and Biotechnology. CRC Press, Tokyo (2010)

17.

Vadasz, P. (ed.): Emerging Topics in Heat and Mass Transfer in Porous Media: From Bioengineering and Microelectronics to Nanotechnology, vol. 22. Springer, New York (2008)

18.

Al-Amiri, A.M.: Natural convection in porous enclosures: the application of the two-energy equation model. Numer. Heat Transf. Part A Appl. 41(8), 817–834 (2002)

19.

Baytas, A.C.; Pop, I.: Free convection in a square porous cavity using a thermal non-equilibrium model. Int. J. Therm. Sci. 41(9), 861–870 (2002)

20.

Baytas, A.C.: Thermal non-equilibrium natural convection in a square enclosure filled with a heat-generating solid phase, non-Darcy porous medium. Int. J. Energy Res. 27(10), 975–988 (2003)

21.

Kasaeian, A.; Daneshazarian, R.; Mahian, O.; Kolsi, L.; Chamkha, A.J.; Wongwises, S.; Pop, I.: Nanofluid flow and heat transfer in porous media: a review of the latest developments. Int. J. Heat Mass Transf. 107, 778–791 (2017)

22.

Sheikholeslami, M.; Ganji, D.D.: Numerical investigation of nanofluid transportation in a curved cavity in existence of magnetic source. Chem. Phys. Lett. 667, 307–316 (2017)

23.

Sheikholeslami, M.; Nimafar, M.; Ganji, D.D.; Pouyandehmehr, M.: CuO–H₂O nanofluid hydrothermal analysis in a complex shaped cavity. Int. J. Hydrog. Energy 41(40), 17837–17845 (2016)

24.

Beukema, K.J.; Bruin, S.; Schenk, J.: Three-dimensional natural convection in a confined porous medium with internal heat generation. Int. J. Heat Mass Transf. 26(3), 451–458 (1983)MATH

25.

Haajizadeh, M.; Ozguc, A.F.; Tien, C.L.: Natural convection in a vertical porous enclosure with internal heat generation. Int. J. Heat Mass Transf. 27(10), 1893–1902 (1984)MATH

26.

Kim, G.B.; Hyun, J.M.: Buoyant convection of a power-law fluid in an enclosure filled with heat-generating porous media. Numer. Heat Transf. Part A Appl. 45(6), 569–582 (2004)

27.

Prasad, V.: Thermal convection in a rectangular cavity filled with a heat-generating, Darcy porous medium. J. Heat Transf. 109(3), 697–703 (1987)

28.

Wu, F.; Wang, G.; Zhou, W.: Natural convection in a cavity filled with porous medium with partially thermal active sidewalls under local thermal nonequilibrium conditions. J. Porous Media 17(11), 983–997 (2014)

29.

Wu, F.; Wang, G.; Zhou, W.: A thermal nonequilibrium approach to natural convection in a square enclosure due to the partially cooled sidewalls of the enclosure. Numer. Heat Transf. Part A Appl. 67(7), 771–790 (2015)

30.

Mohan, C.G.; Satheesh, A.: The numerical simulation of double-diffusive mixed convection flow in a lid-driven porous cavity with magnetohydrodynamic effect. Arab. J. Sci. Eng. 41(5), 1867–1882 (2016)

31.

Rashad, A.M.; Gorla, R.S.R.; Mansour, M.A.; Ahmed, S.E.: Magnetohydrodynamic effect on natural convection in a cavity filled with a porous medium saturated with nanofluid. J. Porous Media 20(4), 363–379 (2017)

32.

Rashad, A.M.; Rashidi, M.M.; Lorenzini, G.; Ahmed, S.E.; Aly, A.M.: Magnetic field and internal heat generation effects on the free convection in a rectangular cavity filled with a porous medium saturated with Cu–water nanofluid. Int. J. Heat Mass Transf. 104, 878–889 (2017)

33.

Chamkha, A.J.; Rashad, A.M.; Armaghani, T.; Mansour, M.A.: Effects of partial slip on entropy generation and MHD combined convection in a lid-driven porous enclosure saturated with a Cu–water nanofluid. J. Therm. Anal. Calorim. 132(2), 1291–1306 (2018)

34.

Rashad, A.M.; Armaghani, T.; Chamkha, A.J.; Mansour, M.A.: Entropy generation and MHD natural convection of a nanofluid in an inclined square porous cavity: effects of a heat sink and source size and location. Chin. J. Phys. 56(1), 193–211 (2018)

35.

Bejan, A.: Convective Heat Transfer in Porous Media. Handbook of Single-Phase Convective Heat Transfer. Chapter 16. Wiley, New York (1987)

36.

Nield, D.A.: Modeling fluid flow in saturated porous media and at interfaces. In Transport Phenomena in Porous Media II, pp. 1–19 (2002)

37.

Lage, J.L.; Weinert, A.K.; Price, D.C.; Weber, R.M.: Numerical study of a low permeability microporous heat sink for cooling phased-array radar systems. Int. J. Heat Mass Transf. 39(17), 3633–3647 (1996)

38.

Kim, S.J.; Kim, D.; Lee, D.Y.: On the local thermal equilibrium in microchannel heat sinks. Int. J. Heat Mass Transf. 43(10), 1735–1748 (2000)MATH

39.

Jiang, P.X.; Fan, M.H.; Si, G.S.; Ren, Z.P.: Thermal–hydraulic performance of small scale micro-channel and porous-media heat-exchangers. Int. J. Heat Mass Transf. 44(5), 1039–1051 (2001)

40.

Fichot, F.; Duval, F.; Tregoures, N.; Béchaud, C.; Quintard, M.: The impact of thermal non-equilibrium and large-scale 2D/3D effects on debris bed reflooding and coolability. Nucl. Eng. Des. 236(19–21), 2144–2163 (2006)

41.

Damm, D.L.; Fedorov, A.G.: Local thermal non-equilibrium effects in porous electrodes of the hydrogen-fueled SOFC. J. Power Sources 159(2), 1153–1157 (2006)

42.

Deléglise, M.; Binétruy, C.; Castaing, P.; Krawczak, P.: Use of non local equilibrium theory to predict transient temperature during non-isothermal resin flow in a fibrous medium. Int. J. Heat Mass Transf. 50(11–12), 2317–2324 (2007)MATH

43.

Hayes, A.M.; Khan, J.A.; Shaaban, A.H.; Spearing, I.G.: The thermal modeling of a matrix heat exchanger using a porous medium and the thermal non-equilibrium model. Int. J. Therm. Sci. 47(10), 1306–1315 (2008)

44.

Lefebvre, L.P.; Banhart, J.; Dunand, D.C.: Porous metals and metallic foams: current status and recent developments. Adv. Eng. Mater. 10(9), 775–787 (2008)

45.

Salas, K.I.; Waas, A.M.: Convective heat transfer in open cell metal foams. J. Heat Transf. 129(9), 1217–1229 (2007)

46.

Ye, C.; Li, B.; Sun, W.: Quasi-steady-state and steady-state models for heat and moisture transport in textile assemblies. Proc. R. Soc. A Math. Phys. Eng. Sci. 466(2122), 2875–2896 (2010)MathSciNetMATH

47.

Straughan, B.: Tipping points in Cattaneo–Christov thermohaline convection. Proc. R. Soc. A Math. Phys. Eng. Sci. 467(2125), 7–18 (2010)MathSciNetMATH

48.

Haji-Sheikh, A.; Minkowycz, W.J.: Heat transfer analysis under local thermal non-equilibrium conditions. In: Emerging Topics in Heat and Mass Transfer in Porous Media. Springer, Dordrecht, pp. 39–62 (2008)‏

49.

Hossain, M.A.; Wilson, M.: Natural convection flow in a fluid-saturated porous medium enclosed by non-isothermal walls with heat generation. Int. J. Therm. Sci. 41(5), 447–454 (2002)

50.

Bourantas, G.C.; Skouras, E.D.; Loukopoulos, V.C.; Burganos, V.N.: Heat transfer and natural convection of nanofluids in porous media. Eur. J. Mech. B Fluids 43, 45–56 (2014)MathSciNetMATH

51.

Wu, F.; Zhou, W.; Ma, X.: Natural convection in a porous rectangular enclosure with sinusoidal temperature distributions on both side walls using a thermal non-equilibrium model. Int. J. Heat Mass Transf. 85, 756–771 (2015)

52.

Sheremet, M.A.; Pop, I.; Nazar, R.: Natural convection in a square cavity filled with a porous medium saturated with a nanofluid using the thermal nonequilibrium model with a Tiwari and Das nanofluid model. Int. J. Mech. Sci. 100, 312–321 (2015)

53.

Tiwari, R.K.; Das, M.K.: Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. Int. J. Heat Mass Transf. 50(9–10), 2002–2018 (2007)MATH

54.

Sheikholeslami, M.; Shehzad, S.A.: Simulation of water based nanofluid convective flow inside a porous enclosure via non-equilibrium model. Int. J. Heat Mass Transf. 120, 1200–1212 (2018)

55.

Mehryan, S.A.M.; Izadi, M.; Sheremet, M.A.: Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model. J. Mol. Liq. 250, 353–368 (2018)

56.

Al-Weheibi, S.M.; Rahman, M.M.: Convective heat transmission inside a porous trapezoidal enclosure occupied by nanofluids: local thermal nonequilibrium conditions for a porous medium. Ital. J. Eng. Sci. Tecn. Ital. 61+1(2), 102–114 (2018)

57.

David, E.; Lauriat, G.; Cheng, P.: Natural convection in rectangular cavities filled with variable porosity media. In: 25th National Heat Transfer Conference, ASME, vol. 1, pp. 605–612 (1988)

58.

Marcondes, F.; Medeiros, J.M.; Gurgel, J.M.: Numerical analysis of natural convection in cavities with variable porosity. Numer. Heat Transf. Part A 40(4), 403–420 (2001)

59.

Mohammadein, A.A.; El-Shaer, N.A.: Influence of variable permeability on combined free and forced convection flow past a semi-infinite vertical plate in a saturated porous medium. Heat Mass Transf. 40, 341–346 (2004)

60.

Pal, D.; Shivakumara, I.S.: Mixed convection heat transfer from a vertical heated plate embedded in a sparsely packed porous medium. Appl. Mech. Eng. 11(4), 929–939 (2006)MATH

61.

Abelman, S.; Parsa, A.B.; Sayehvand, H.O.: Nanofluid flow and heat transfer in a Brinkman porous channel with variable porosity. Quaest. Math. 41(4), 449–467 (2018)MathSciNetMATH

62.

Brinkman, H.C.: A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Flow Turbul. Combust. 1(1), 27 (1949)MATH

63.

Brinkman, H.C.: On the permeability of media consisting of closely packed porous particles. Flow Turbul. Combust. 1(1), 81 (1949)

64.

Ochoa-Tapia, J.A.; Whitaker, S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid—II. Comparison with experiment. Int. J. Heat Mass Transf. 38(14), 2647–2655 (1995)MATH

65.

Chandrasekhara, B.C.; Vortmeyer, D.: Flow model for velocity distribution in fixed porous beds under isothermal conditions. Wärme-und Stoffübertragung 12(2), 105–111 (1979)

66.

Hsu, C.T.; Cheng, P.: Closure schemes of the macroscopic energy equation for convective heat transfer in porous media. Int. Commun. Heat Mass Transf. 15(5), 689–703 (1988)

67.

Ergun, S.: Fluid flow through packed columns. Chem. Eng. Sci. 48(2), 89–94 (1952)

68.

Brinkman, H.C.: The viscosity of concentrated suspensions and solutions. J. Chem. Phys. 20(4), 571 (1952)

69.

Maxwell, J.C.: A Treatise on Electricity and Magnetism, vol. I, II. Clarendon Press, Oxford (1873)MATH

70.

Oztop, H.F.; Abu-Nada, E.: Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int. J. Heat Fluid Flow 29(5), 1326–1336 (2008)

71.

Al-Kalbani, K.S.; Alam, M.S.; Rahman, M.M.: Finite element analysis of unsteady natural convective heat transfer and fluid flow of nanofluids inside a tilted square enclosure in the presence of oriented magnetic field. Am. J. Heat Mass Transf. 3, 186–224 (2016)

72.

Uddin, M.J.; Rahman, M.M.: Numerical computation of natural convective heat transport within nanofluids filled semi-circular shaped enclosure using nonhomogeneous dynamic model. Therm. Sci. Eng. Prog. 1, 25–38 (2017)

73.

Zienkiewicz, O.C.; Taylor, R.L.; Zienkiewicz, O.C.; Taylor, R.L.: The Finite Element Method, vol. 36. McGraw-Hill, London (1977)MATH

Titel: Impacts of Variable Porosity and Variable Permeability on the Thermal Augmentation of Cu–H2O Nanofluid-Drenched Porous Trapezoidal Enclosure Considering Thermal Nonequilibrium Model
verfasst von: Sheikha M. Al-Weheibi
M. M. Rahman
M. Z. Saghir
Publikationsdatum: 16.12.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Arabian Journal for Science and Engineering / Ausgabe 2/2020
Print ISSN: 2193-567X
Elektronische ISSN: 2191-4281
DOI: https://doi.org/10.1007/s13369-019-04234-6

Premium Partner

Marktübersichten

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

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 2/2020

Study of Two-Phase Nonlinear Advection Dispersion Model for Displacement Washing of Porous Particles Using OCFE with Lagrangian Basis

Moisture Absorption in Fibre Matrix Laminates for Different Fibre Orientations: Simulation and Experimental Study

Effects of the CNT Content and Plating Solution pH After Purification on the Performance of Ni–P/CNT Composite Coating

Experimental Evaluation of an Automotive Heat Pump System with R1234yf as an Alternative to R134a

Optimal Design of Stamping Process for Fabrication of Titanium Bipolar Plates Using the Integration of Finite Element and Response Surface Methods

Investigating the Physio-chemical Properties of Densified Biomass Pellet Fuels from Fruit and Vegetable Market Waste

Premium Partner

Marktübersichten