Skip to main content
Erschienen in: Continuum Mechanics and Thermodynamics 3/2020

01.01.2020 | Original Article

An analysis of dusty slip flow through a single-/multi-wall carbon nanotube

verfasst von: M. Gnaneswara Reddy, M. V. V. N. L. Sudharani, K. Ganesh Kumar

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 3/2020

Einloggen

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

search-config
loading …

Abstract

In this article, we considered single-wall carbon nanotubes (SWCNT) and multi-wall carbon nanotubes (MWCNT) in a fluid particles suspension. Thermal performance is inspected by combining partial slip terms. Prominent governing nonlinear partial equations are changed to nonlinear ordinary equations using similarity alteration. The nonlinear equations are solved numerically with the help of RKF procedure. The vitality of physical parameters on velocities, temperature field, skin friction and Nusselt number is examined through diagrams. It is evident that \(Cf_{x}\) is maximum in SWCNT when compared to MWCNT, but antithetical trend is observed in \(\hbox {Nu}_{x}\) number. Furthermore, the compactness of momentum layer thickness reduces for larger A.

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
1.
Zurück zum Zitat Nakayama, A.: A unified treatment of Darcy–Forchheimer boundary-layer flows. Transp. Phenom. Porous Media 1, 179–204 (1998)CrossRef Nakayama, A.: A unified treatment of Darcy–Forchheimer boundary-layer flows. Transp. Phenom. Porous Media 1, 179–204 (1998)CrossRef
2.
Zurück zum Zitat Seddeek, M.A.: Influence of viscous dissipation and thermophoresis on Darcy–Forchheimer mixed convection in a fluid saturated porous media. J. Colloid Interface Sci. 293(1), 137–142 (2006)ADSCrossRef Seddeek, M.A.: Influence of viscous dissipation and thermophoresis on Darcy–Forchheimer mixed convection in a fluid saturated porous media. J. Colloid Interface Sci. 293(1), 137–142 (2006)ADSCrossRef
3.
Zurück zum Zitat Kishan, N., Srinivas, M.: Thermophoresis and viscous dissipation effects on Darcy–Forchheimer MHD mixed convection in a fluid saturated porous media. Adv. Appl. Sci. Res. 3(1), 60–74 (2012) Kishan, N., Srinivas, M.: Thermophoresis and viscous dissipation effects on Darcy–Forchheimer MHD mixed convection in a fluid saturated porous media. Adv. Appl. Sci. Res. 3(1), 60–74 (2012)
4.
Zurück zum Zitat Madeo, A., dell’Isola, F., Darve, F.: A continuum model for deformable, second gradient porous media partially saturated with compressible fluids. J. Mech. Phys. Solids 61(11), 2196–2211 (2013)ADSMathSciNetCrossRef Madeo, A., dell’Isola, F., Darve, F.: A continuum model for deformable, second gradient porous media partially saturated with compressible fluids. J. Mech. Phys. Solids 61(11), 2196–2211 (2013)ADSMathSciNetCrossRef
5.
Zurück zum Zitat Giorgio, I., Andreaus, U., Scerrato, D., dell’Isola, F.: A visco poroelastic model of functional adaptation in bones reconstructed with bio resorbable materials. Biomech. Model. Microbiol. 15(5), 1325–1343 (2016)CrossRef Giorgio, I., Andreaus, U., Scerrato, D., dell’Isola, F.: A visco poroelastic model of functional adaptation in bones reconstructed with bio resorbable materials. Biomech. Model. Microbiol. 15(5), 1325–1343 (2016)CrossRef
6.
Zurück zum Zitat Hayat, T., Haider, F., Muhammad, T., Alsaedi, A.: Three-dimensional rotating flow of carbon nanotubes with Darcy–Forchheimer porous medium. PLoS ONE 12(7), e0179576 (2017)CrossRef Hayat, T., Haider, F., Muhammad, T., Alsaedi, A.: Three-dimensional rotating flow of carbon nanotubes with Darcy–Forchheimer porous medium. PLoS ONE 12(7), e0179576 (2017)CrossRef
7.
Zurück zum Zitat Sadiq, M.A., Hayat, T.: Darcy–Forchheimer flow of magneto Maxwell liquid bounded by convectively heated sheet. Results Phys. 6, 884–890 (2016)ADSCrossRef Sadiq, M.A., Hayat, T.: Darcy–Forchheimer flow of magneto Maxwell liquid bounded by convectively heated sheet. Results Phys. 6, 884–890 (2016)ADSCrossRef
8.
Zurück zum Zitat Vishnu Ganesh, N., Abdul Hakeeman, A.K., Ganga, B.: Darcy–Forchheimer flow of hydro magnetic nanofluid over a stretching/shrinking sheet in a thermally stratified porous medium with second order slip viscous and Ohmic dissipations effects. Ain Shams Eng. J. 9(4), 939–951 (2018)CrossRef Vishnu Ganesh, N., Abdul Hakeeman, A.K., Ganga, B.: Darcy–Forchheimer flow of hydro magnetic nanofluid over a stretching/shrinking sheet in a thermally stratified porous medium with second order slip viscous and Ohmic dissipations effects. Ain Shams Eng. J. 9(4), 939–951 (2018)CrossRef
9.
Zurück zum Zitat Hayat, T., Haider, F., Muhammad, T., Alsaedi, A.: On Darcy–Forchheimer flow of viscoelastic nanofluids: a comparative study. J. Mol. Liq. 233, 278–287 (2017)CrossRef Hayat, T., Haider, F., Muhammad, T., Alsaedi, A.: On Darcy–Forchheimer flow of viscoelastic nanofluids: a comparative study. J. Mol. Liq. 233, 278–287 (2017)CrossRef
10.
Zurück zum Zitat Makinde, O.D., Ogulu, A.: The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field. Chem. Eng. Commun. 195(12), 1575–1584 (2008)CrossRef Makinde, O.D., Ogulu, A.: The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field. Chem. Eng. Commun. 195(12), 1575–1584 (2008)CrossRef
11.
Zurück zum Zitat Kumar, K.G., Chamkha, A.J.: Darcy–Forchheimer flow and heat transfer of water-based \(Cu\) nanoparticles in convergent/divergent channel subjected to particle shape effect. Eur. Phys. J. Plus 134(3), 107 (2019)CrossRef Kumar, K.G., Chamkha, A.J.: Darcy–Forchheimer flow and heat transfer of water-based \(Cu\) nanoparticles in convergent/divergent channel subjected to particle shape effect. Eur. Phys. J. Plus 134(3), 107 (2019)CrossRef
12.
Zurück zum Zitat Raju, S.S., Kumar, K.G., Rahimi-Gorji, M., Khan, I.: Darcy-Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle in the presence of viscous dissipation. Microsyst. Technol. 1, 1–7 (2019) Raju, S.S., Kumar, K.G., Rahimi-Gorji, M., Khan, I.: Darcy-Forchheimer flow and heat transfer augmentation of a viscoelastic fluid over an incessant moving needle in the presence of viscous dissipation. Microsyst. Technol. 1, 1–7 (2019)
13.
Zurück zum Zitat Mukhopadhyay, S., Ranjan, D.P., Layek, G.C.: Heat transfer characteristics for the Maxwell fluid flow past an unsteady stretching permeable surface embedded in a porous medium with thermal radiation. J. Appl. Mech. Tech. Phys. 54(3), 385–96 (2013)ADSMATHCrossRef Mukhopadhyay, S., Ranjan, D.P., Layek, G.C.: Heat transfer characteristics for the Maxwell fluid flow past an unsteady stretching permeable surface embedded in a porous medium with thermal radiation. J. Appl. Mech. Tech. Phys. 54(3), 385–96 (2013)ADSMATHCrossRef
14.
Zurück zum Zitat Choi, S.U.S., Zhang, Z.G., Yu, W., Lockwood, F.E., Grulke, E.A.: Anomalous thermal conductivity enhancement in nanotube suspensions. Appl. Phys. Lett. 79(14), 2252–2254 (2001)ADSCrossRef Choi, S.U.S., Zhang, Z.G., Yu, W., Lockwood, F.E., Grulke, E.A.: Anomalous thermal conductivity enhancement in nanotube suspensions. Appl. Phys. Lett. 79(14), 2252–2254 (2001)ADSCrossRef
15.
Zurück zum Zitat Xue, Q.Z.: Model for thermal conductivity of carbon nanotube-based compos-ites. Physica B. Condens. Matter 368, 302–307 (2005)ADSCrossRef Xue, Q.Z.: Model for thermal conductivity of carbon nanotube-based compos-ites. Physica B. Condens. Matter 368, 302–307 (2005)ADSCrossRef
16.
Zurück zum Zitat Karimipour, A., D’Orazio, A., Shadloo, M.S.: The effects of different nano particles of Al\(_{2}\)O\(_{3}\) and Ag on the MHD nano fluid flow and heat transfer in a microchannel including slip velocity and temperature jump. Physica E: Low-dimens. Syst. Nanostruct. 86, 146–153 (2017)ADSCrossRef Karimipour, A., D’Orazio, A., Shadloo, M.S.: The effects of different nano particles of Al\(_{2}\)O\(_{3}\) and Ag on the MHD nano fluid flow and heat transfer in a microchannel including slip velocity and temperature jump. Physica E: Low-dimens. Syst. Nanostruct. 86, 146–153 (2017)ADSCrossRef
17.
Zurück zum Zitat Srikant, R., Vamsi Krishna, R., Smail Syed, P., Uday Kumar, P.: Development of finite element based model for performance evaluation of nano cutting fluids in minimum quantity lubrication. CIRP J. Manuf. Sci. Technol. 21, 75–85 (2018)CrossRef Srikant, R., Vamsi Krishna, R., Smail Syed, P., Uday Kumar, P.: Development of finite element based model for performance evaluation of nano cutting fluids in minimum quantity lubrication. CIRP J. Manuf. Sci. Technol. 21, 75–85 (2018)CrossRef
18.
Zurück zum Zitat Franciosi, P., Spagnuolo, M., Salman, O.U.: Mean Green operators of deformable fiber networks embedded in a compliant matrix and property estimates. Continuum Mech. Thermodyn. 31(1), 1–32 (2018)MathSciNet Franciosi, P., Spagnuolo, M., Salman, O.U.: Mean Green operators of deformable fiber networks embedded in a compliant matrix and property estimates. Continuum Mech. Thermodyn. 31(1), 1–32 (2018)MathSciNet
19.
Zurück zum Zitat Spagnuolo, M., Barcz, K., Pfaff, A., Dell’Isola, F., Franciosi, P.: Qualitative pivot damage analysis in aluminum printed pantographic sheets: numerics and experiments. Mech. Res. Commun. 83, 47–52 (2017)CrossRef Spagnuolo, M., Barcz, K., Pfaff, A., Dell’Isola, F., Franciosi, P.: Qualitative pivot damage analysis in aluminum printed pantographic sheets: numerics and experiments. Mech. Res. Commun. 83, 47–52 (2017)CrossRef
20.
Zurück zum Zitat Giorgio, I., Andreaus, U., Dell’Isola, F., Lekszycki, T.: Viscous second gradient porous materials for bones reconstructed with bio-resorbable grafts. Extreme Mech. Lett. 13, 141–147 (2017)CrossRef Giorgio, I., Andreaus, U., Dell’Isola, F., Lekszycki, T.: Viscous second gradient porous materials for bones reconstructed with bio-resorbable grafts. Extreme Mech. Lett. 13, 141–147 (2017)CrossRef
21.
Zurück zum Zitat Dell’Isola, F., Sciarra, G., Batra, R.C.: Static deformations of a linear elastic porous body filled with an inviscid fluid. J. Elast. 72(1–3), 99–120 (2013)MathSciNetMATH Dell’Isola, F., Sciarra, G., Batra, R.C.: Static deformations of a linear elastic porous body filled with an inviscid fluid. J. Elast. 72(1–3), 99–120 (2013)MathSciNetMATH
22.
Zurück zum Zitat Nojoomizadeh, M., Karimipour, A.: The effects of porosity and permeability on fluid flow and heat transfer of multi walled carbon nano-tubes suspended in oil (MWCNT/Oil nano-fluid) in a microchannel filled with a porous medium. Physica E 84, 423–433 (2016)ADSCrossRef Nojoomizadeh, M., Karimipour, A.: The effects of porosity and permeability on fluid flow and heat transfer of multi walled carbon nano-tubes suspended in oil (MWCNT/Oil nano-fluid) in a microchannel filled with a porous medium. Physica E 84, 423–433 (2016)ADSCrossRef
23.
Zurück zum Zitat Raju, C.S.K., Sanjeevi, P., Raju, M.C.: The flow of magnetohydrodynamic Maxwell nanofluid over a cylinder with Cattaneo–Christov heat flux model. Continuum Mech. Thermodyn. 29, 1347 (2017)ADSMathSciNetMATHCrossRef Raju, C.S.K., Sanjeevi, P., Raju, M.C.: The flow of magnetohydrodynamic Maxwell nanofluid over a cylinder with Cattaneo–Christov heat flux model. Continuum Mech. Thermodyn. 29, 1347 (2017)ADSMathSciNetMATHCrossRef
24.
Zurück zum Zitat Mahabaleshwar, U.S., Nagaraju, K.R., Vinay Kumar, P.N.: An exact analytical solution of the unsteady magnetohydrodynamic nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet. Continuum Mech. Thermodyn. 29, 559 (2017)ADSMathSciNetMATHCrossRef Mahabaleshwar, U.S., Nagaraju, K.R., Vinay Kumar, P.N.: An exact analytical solution of the unsteady magnetohydrodynamic nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet. Continuum Mech. Thermodyn. 29, 559 (2017)ADSMathSciNetMATHCrossRef
25.
Zurück zum Zitat Roya, N.C., Gorla, R.S.R.: Natural convection of a chemically reacting fluid in a concentric annulus filled with non-Darcy porous medium. Int. J. Heat Mass Transf. 127, 513–525 (2018)CrossRef Roya, N.C., Gorla, R.S.R.: Natural convection of a chemically reacting fluid in a concentric annulus filled with non-Darcy porous medium. Int. J. Heat Mass Transf. 127, 513–525 (2018)CrossRef
26.
Zurück zum Zitat Jain, S., Kumari, M., Parmar, A.: Unsteady MHD chemically reacting mixed convection nano-fluids flow past an inclined pours stretching sheet with slip effect and variable thermal radiation and heat source. Mater. Today Proc. 5(2), 6297–6312 (2018)CrossRef Jain, S., Kumari, M., Parmar, A.: Unsteady MHD chemically reacting mixed convection nano-fluids flow past an inclined pours stretching sheet with slip effect and variable thermal radiation and heat source. Mater. Today Proc. 5(2), 6297–6312 (2018)CrossRef
28.
Zurück zum Zitat Chamkha, A.J.: The stokes problem for a dusty fluid in the presence of magnetic field, heat generation and wall suction effects. Int. J. Numer. Methods Heat Fluid Flow 10(1), 116–133 (2000)MathSciNetMATHCrossRef Chamkha, A.J.: The stokes problem for a dusty fluid in the presence of magnetic field, heat generation and wall suction effects. Int. J. Numer. Methods Heat Fluid Flow 10(1), 116–133 (2000)MathSciNetMATHCrossRef
29.
Zurück zum Zitat Makinde, O.D., Chinyoka, T.: MHD transient flows and heat transfer of dusty fluid in a channel with variable physical properties and Navier slip condition. Comput. Math. Appl. 60, 660–669 (2010)MathSciNetMATHCrossRef Makinde, O.D., Chinyoka, T.: MHD transient flows and heat transfer of dusty fluid in a channel with variable physical properties and Navier slip condition. Comput. Math. Appl. 60, 660–669 (2010)MathSciNetMATHCrossRef
30.
Zurück zum Zitat Vajravelu, K., Nayfeh, J.: Hydromagnetic flow of a dusty fluid over a stretching sheet. Int. J. Non-Linear Mech. 27, 937–45 (1992)MATHCrossRef Vajravelu, K., Nayfeh, J.: Hydromagnetic flow of a dusty fluid over a stretching sheet. Int. J. Non-Linear Mech. 27, 937–45 (1992)MATHCrossRef
31.
Zurück zum Zitat Kumar, K.G., Rudraswamy, N.G., Gireesha, B.J., Manjunatha, S.: Non-linear thermal radiation effect on Williamson fluid with particle-liquid suspension past a stretching surface. Results Phys. 7, 3196–3202 (2018)ADSCrossRef Kumar, K.G., Rudraswamy, N.G., Gireesha, B.J., Manjunatha, S.: Non-linear thermal radiation effect on Williamson fluid with particle-liquid suspension past a stretching surface. Results Phys. 7, 3196–3202 (2018)ADSCrossRef
32.
Zurück zum Zitat Kumar, K.G., Gireesha, B.J., Gorla, R.S.R.: Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field. Int. J. Mech. Mater. Eng. 13(1), 2 (2018)CrossRef Kumar, K.G., Gireesha, B.J., Gorla, R.S.R.: Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field. Int. J. Mech. Mater. Eng. 13(1), 2 (2018)CrossRef
33.
Zurück zum Zitat Makinde, O.D., Kumar, K.G., Manjunatha, S., Gireesha, B.J.: Effect of nonlinear thermal radiation on MHD boundary layer flow and melting heat transfer of micro-polar fluid over a stretching surface with fluid particles suspension. Defect and Diffusion Forum 378, 125–136 (2018)CrossRef Makinde, O.D., Kumar, K.G., Manjunatha, S., Gireesha, B.J.: Effect of nonlinear thermal radiation on MHD boundary layer flow and melting heat transfer of micro-polar fluid over a stretching surface with fluid particles suspension. Defect and Diffusion Forum 378, 125–136 (2018)CrossRef
34.
Zurück zum Zitat Kumar, K.G., Gireesha, B.J., Rudraswamy, N.G., Manjunatha, S.: Radiative heat transfers of Carreau fluid flow over a stretching sheet with fluid particle suspension and temperature jump. Results Phys. 7, 3976–3983 (2018)CrossRef Kumar, K.G., Gireesha, B.J., Rudraswamy, N.G., Manjunatha, S.: Radiative heat transfers of Carreau fluid flow over a stretching sheet with fluid particle suspension and temperature jump. Results Phys. 7, 3976–3983 (2018)CrossRef
35.
Zurück zum Zitat Kumar, K.G., Gireesha, B.J., Rudraswamy, N.G., Gorla, R.S.R.: Melting heat transfer of hyperbolic tangent fluid over a stretching sheet with fluid particle suspension and thermal radiation. Commun. Numer. Anal. 2, 125–140 (2017)MathSciNetCrossRef Kumar, K.G., Gireesha, B.J., Rudraswamy, N.G., Gorla, R.S.R.: Melting heat transfer of hyperbolic tangent fluid over a stretching sheet with fluid particle suspension and thermal radiation. Commun. Numer. Anal. 2, 125–140 (2017)MathSciNetCrossRef
36.
Zurück zum Zitat Krishnamurthy, M.R., Kumar, K.G., Gireesha, B.J., Rudraswamy, N.G.: MHD flow and heat transfer (PST and PHF) of dusty fluid suspended with alumina nanoparticles over a stretching sheet embedded in a porous medium under the influence of thermal. J. Nanofluids 7(3), 527–535 (2018)CrossRef Krishnamurthy, M.R., Kumar, K.G., Gireesha, B.J., Rudraswamy, N.G.: MHD flow and heat transfer (PST and PHF) of dusty fluid suspended with alumina nanoparticles over a stretching sheet embedded in a porous medium under the influence of thermal. J. Nanofluids 7(3), 527–535 (2018)CrossRef
37.
Zurück zum Zitat Reddy, M.G., Rani, M.S., Kumar, K.G., Prasannakumara, B.C.: Cattaneo-Christov heat flux and non-uniform heat-source/sink impacts on radiative Oldroyd-B two-phase flow across a cone/wedge. J. Braz. Soc. Mech. Sci. Eng. 40(2), 95 (2018)CrossRef Reddy, M.G., Rani, M.S., Kumar, K.G., Prasannakumara, B.C.: Cattaneo-Christov heat flux and non-uniform heat-source/sink impacts on radiative Oldroyd-B two-phase flow across a cone/wedge. J. Braz. Soc. Mech. Sci. Eng. 40(2), 95 (2018)CrossRef
38.
Zurück zum Zitat Gnaneswara Reddy, M., Sudha Rani, M.V.V.N.L., Prasannakumara, B.C.: Non-Linear Radiation and Chemical Reaction Impacts on Hydromagnetic Particle Suspension Flow in Non-Newtonian Fluids. Int. J. Chem. Reactor Eng. 16(6), 20180001 (2018)CrossRef Gnaneswara Reddy, M., Sudha Rani, M.V.V.N.L., Prasannakumara, B.C.: Non-Linear Radiation and Chemical Reaction Impacts on Hydromagnetic Particle Suspension Flow in Non-Newtonian Fluids. Int. J. Chem. Reactor Eng. 16(6), 20180001 (2018)CrossRef
Metadaten
Titel
An analysis of dusty slip flow through a single-/multi-wall carbon nanotube
verfasst von
M. Gnaneswara Reddy
M. V. V. N. L. Sudharani
K. Ganesh Kumar
Publikationsdatum
01.01.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Continuum Mechanics and Thermodynamics / Ausgabe 3/2020
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-019-00860-5

Weitere Artikel der Ausgabe 3/2020

Continuum Mechanics and Thermodynamics 3/2020 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.