Skip to main content
Erschienen in: Neural Computing and Applications 4/2019

07.07.2017 | Original Article

Magnetohydrodynamic three-dimensional nonlinear convective flow of viscoelastic nanofluid with heat and mass flux conditions

Erschienen in: Neural Computing and Applications | Ausgabe 4/2019

Einloggen

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

search-config
loading …

Abstract

The present research focuses on three-dimensional nonlinear convective flow of viscoelastic nanofluid. Here, the flow is generated due to stretching of a impermeable surface. The phenomenon of heat transport is analyzed by considering thermal radiation and prescribed heat flux condition. Nanofluid model comprises of Brownian motion and thermophoresis. An electrically conducting fluid is accounted due to consideration of an applied magnetic field. The dimensionless variables are introduced for the conversion of partial differential equations into sets of ordinary differential systems. The transformed expressions are explored through homotopic algorithm. Behavior of different dimensionless parameters on the non-dimensional velocities, temperature and concentration are scrutinized graphically. The values of skin friction coefficients, Nusselt and Sherwood numbers are also calculated and elaborated. It is visualized that the heat transfer rate increases with Prandtl number and radiation parameter is higher.

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

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • 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!

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!

Literatur
1.
Zurück zum Zitat Cortell R (2006) Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field. Int J Heat Mass Transf 49:1851–8156CrossRefMATH Cortell R (2006) Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field. Int J Heat Mass Transf 49:1851–8156CrossRefMATH
2.
Zurück zum Zitat Hayat T, Shehzad SA, Qasim M, Obaidat S (2011) Flow of a second grade fluid with convective boundary conditions. Therm Sci 15:253–261CrossRef Hayat T, Shehzad SA, Qasim M, Obaidat S (2011) Flow of a second grade fluid with convective boundary conditions. Therm Sci 15:253–261CrossRef
3.
Zurück zum Zitat Turkyilmazoglu M (2013) The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface. Int J Mech Sci 77:263–268CrossRef Turkyilmazoglu M (2013) The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface. Int J Mech Sci 77:263–268CrossRef
4.
Zurück zum Zitat Sahoo B, Labropulu F (2012) Steady Homann flow and heat transfer of an electrically conducting second grade fluid. Comput Math Appl 63:1244–1255MathSciNetCrossRefMATH Sahoo B, Labropulu F (2012) Steady Homann flow and heat transfer of an electrically conducting second grade fluid. Comput Math Appl 63:1244–1255MathSciNetCrossRefMATH
5.
Zurück zum Zitat Akinbobola TE, Okoya SS (2015) The flow of second grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink. J Nigerian Math Soc 34:331–342MathSciNetCrossRefMATH Akinbobola TE, Okoya SS (2015) The flow of second grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink. J Nigerian Math Soc 34:331–342MathSciNetCrossRefMATH
6.
Zurück zum Zitat Hayat T, Shafiq A, Imtiaz M, Alsaedi A (2016) Impact of melting phenomenon in the Falkner-Skan wedge flow of second grade nanofluid: a revised model. J Mol Liq 215:664–670CrossRef Hayat T, Shafiq A, Imtiaz M, Alsaedi A (2016) Impact of melting phenomenon in the Falkner-Skan wedge flow of second grade nanofluid: a revised model. J Mol Liq 215:664–670CrossRef
7.
Zurück zum Zitat Ramzan M, Bilal M (2015) Time dependent MHD nano-second grade fluid flow induced by permeable vertical sheet with mixed convection and thermal radiation. PLoS ONE 10:e0124929CrossRef Ramzan M, Bilal M (2015) Time dependent MHD nano-second grade fluid flow induced by permeable vertical sheet with mixed convection and thermal radiation. PLoS ONE 10:e0124929CrossRef
8.
Zurück zum Zitat Hayat T, Qasim M, Shehzad SA, Alsaedi A (2014) Unsteady stagnation point flow of second grade fluid with variable free stream. Alex Eng J 53:455–461CrossRef Hayat T, Qasim M, Shehzad SA, Alsaedi A (2014) Unsteady stagnation point flow of second grade fluid with variable free stream. Alex Eng J 53:455–461CrossRef
9.
Zurück zum Zitat Choudhury R, Das UJ (2012) Viscoelastic effects on free convective three-dimensional flow with heat and mass transfer. Comput Math 2012:402037MATH Choudhury R, Das UJ (2012) Viscoelastic effects on free convective three-dimensional flow with heat and mass transfer. Comput Math 2012:402037MATH
10.
Zurück zum Zitat Alhuthali MS, Shehzad SA, Malaikah H, Hayat T (2014) Three dimensional flow of viscoelastic fluid by an exponentially stretching surface with mass transfer. J Petrol Sci Eng 119:221–226CrossRef Alhuthali MS, Shehzad SA, Malaikah H, Hayat T (2014) Three dimensional flow of viscoelastic fluid by an exponentially stretching surface with mass transfer. J Petrol Sci Eng 119:221–226CrossRef
11.
Zurück zum Zitat Turkyilmazoglu M (2014) Three dimensional MHD flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid with various physical effects. Int J Heat Mass Transf 78:150–155CrossRef Turkyilmazoglu M (2014) Three dimensional MHD flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid with various physical effects. Int J Heat Mass Transf 78:150–155CrossRef
12.
Zurück zum Zitat Hayat T, Sajid M, Pop I (2008) Three-dimensional flow over a stretching surface in a viscoelastic fluid. Nonlinear Anal Real World Appl 9:1811–1822MathSciNetCrossRefMATH Hayat T, Sajid M, Pop I (2008) Three-dimensional flow over a stretching surface in a viscoelastic fluid. Nonlinear Anal Real World Appl 9:1811–1822MathSciNetCrossRefMATH
13.
Zurück zum Zitat Gorla RSR, Gireesha BJ (2015) Convective heat transfer in three-dimensional boundary-layer flow of viscoelastic nanofluid. J Thermophys Heat Transf 30:334–341CrossRef Gorla RSR, Gireesha BJ (2015) Convective heat transfer in three-dimensional boundary-layer flow of viscoelastic nanofluid. J Thermophys Heat Transf 30:334–341CrossRef
14.
Zurück zum Zitat Krishnamurthy MR, Prasannakumara BC, Gireesha BJ, Gorla RSR (2016) Effect of chemical reaction on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium. Eng Sci Tech Int J 19:53–61CrossRef Krishnamurthy MR, Prasannakumara BC, Gireesha BJ, Gorla RSR (2016) Effect of chemical reaction on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium. Eng Sci Tech Int J 19:53–61CrossRef
15.
Zurück zum Zitat Sui J, Zheng L, Zhang X (2016) Boundary layer heat and mass transfer with Cattaneo-Christov double-diffusion in upper-convected Maxwell nanofluid past a stretching sheet with slip velocity. Int J Therm Sci 104:461–468CrossRef Sui J, Zheng L, Zhang X (2016) Boundary layer heat and mass transfer with Cattaneo-Christov double-diffusion in upper-convected Maxwell nanofluid past a stretching sheet with slip velocity. Int J Therm Sci 104:461–468CrossRef
16.
Zurück zum Zitat Hayat T, Abbas T, Ayub M, Farooq M, Alsaedi A (2016) Flow of nanofluid due to convectively heated Riga plate with variable thickness. J Mol Liq 222:854–862CrossRef Hayat T, Abbas T, Ayub M, Farooq M, Alsaedi A (2016) Flow of nanofluid due to convectively heated Riga plate with variable thickness. J Mol Liq 222:854–862CrossRef
17.
Zurück zum Zitat Sheikholeslami M, Mustafa MT, Ganji DD (2016) Effect of Lorentz forces on forced-convection nanofluid flow over a stretched surface. Particuology 26:108–113CrossRef Sheikholeslami M, Mustafa MT, Ganji DD (2016) Effect of Lorentz forces on forced-convection nanofluid flow over a stretched surface. Particuology 26:108–113CrossRef
18.
Zurück zum Zitat Hayat T, Waqas M, Shehzad SA, Alsaedi A (2016) A model of solar radiation and Joule heating in magnetohydrodynamic (MHD) convective flow of thixotropic nanofluid. J Mol Liq 215:704–710CrossRef Hayat T, Waqas M, Shehzad SA, Alsaedi A (2016) A model of solar radiation and Joule heating in magnetohydrodynamic (MHD) convective flow of thixotropic nanofluid. J Mol Liq 215:704–710CrossRef
19.
Zurück zum Zitat Lin Y, Zheng L, Zhang X (2014) Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity. Int J Heat Mass Transf 77:708–716CrossRef Lin Y, Zheng L, Zhang X (2014) Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity. Int J Heat Mass Transf 77:708–716CrossRef
20.
Zurück zum Zitat Turkyilmazoglu M (2012) Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids. Chem Eng Sci 84:182–187CrossRef Turkyilmazoglu M (2012) Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids. Chem Eng Sci 84:182–187CrossRef
21.
Zurück zum Zitat Hayat T, Qayyum S, Alsaedi A, Shafiq A (2016) Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation. Int J Heat Mass Transf 103:99–107CrossRef Hayat T, Qayyum S, Alsaedi A, Shafiq A (2016) Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation. Int J Heat Mass Transf 103:99–107CrossRef
22.
Zurück zum Zitat Shehzad SA, Abdullah Z, Alsaedi A, Abbasi FM, Hayat T (2016) Thermally radiative three-dimensional flow of Jeffrey nanofluid with internal heat generation and magnetic field. J Magn Magn Mater 397:108–114CrossRef Shehzad SA, Abdullah Z, Alsaedi A, Abbasi FM, Hayat T (2016) Thermally radiative three-dimensional flow of Jeffrey nanofluid with internal heat generation and magnetic field. J Magn Magn Mater 397:108–114CrossRef
23.
Zurück zum Zitat Rashidi MM, Ali M, Freidoonimehr N, Rostami B, Hossain MA (2014) Mixed convective heat transfer for MHD viscoelastic fluid flow over a porous wedge with thermal radiation. Adv Mech Eng 2014:10 Rashidi MM, Ali M, Freidoonimehr N, Rostami B, Hossain MA (2014) Mixed convective heat transfer for MHD viscoelastic fluid flow over a porous wedge with thermal radiation. Adv Mech Eng 2014:10
24.
Zurück zum Zitat Hayat T, Shafiq A, Alsaedi A (2016) Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation. Alex Eng J 55:2229–2240 Hayat T, Shafiq A, Alsaedi A (2016) Hydromagnetic boundary layer flow of Williamson fluid in the presence of thermal radiation and Ohmic dissipation. Alex Eng J 55:2229–2240
25.
Zurück zum Zitat Turkyilmazoglu M, Pop I (2013) Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect. Int J Heat Mass Transf 59:167–171CrossRef Turkyilmazoglu M, Pop I (2013) Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect. Int J Heat Mass Transf 59:167–171CrossRef
26.
Zurück zum Zitat Sheikholeslami M, Ganji DD, Javed MY, Ellahi R (2015) Effect of thermal radiation on MHD nanofluid flow and heat transfer by means of two phase model. J Magn Magn Mater 374:36–43CrossRef Sheikholeslami M, Ganji DD, Javed MY, Ellahi R (2015) Effect of thermal radiation on MHD nanofluid flow and heat transfer by means of two phase model. J Magn Magn Mater 374:36–43CrossRef
27.
Zurück zum Zitat Shehzad SA, Hayat T, Alsaedi A (2014) MHD three dimensional flow of viscoelastic fluid with thermal radiation and variable thermal conductivity. J Cent South Univ 21:3911–3917CrossRefMATH Shehzad SA, Hayat T, Alsaedi A (2014) MHD three dimensional flow of viscoelastic fluid with thermal radiation and variable thermal conductivity. J Cent South Univ 21:3911–3917CrossRefMATH
28.
Zurück zum Zitat Liao S (2012) Homotopy analysis method in nonlinear differential equations. Springer & Higher Education Press, BerlinCrossRefMATH Liao S (2012) Homotopy analysis method in nonlinear differential equations. Springer & Higher Education Press, BerlinCrossRefMATH
29.
Zurück zum Zitat Turkyilmazoglu M (2012) Solution of Thomas–Fermi equation with a convergent approach. Commun Nonlinear Sci Numer Simulat 17:4097–4410MathSciNetCrossRefMATH Turkyilmazoglu M (2012) Solution of Thomas–Fermi equation with a convergent approach. Commun Nonlinear Sci Numer Simulat 17:4097–4410MathSciNetCrossRefMATH
30.
Zurück zum Zitat Hayat T, Shafiq A, Alsaedi A (2016) Characteristics of magnetic field and melting heat transfer in stagnation point flow of Tangent-hyperbolic liquid. J Magn Magn Mater 405:97–106CrossRef Hayat T, Shafiq A, Alsaedi A (2016) Characteristics of magnetic field and melting heat transfer in stagnation point flow of Tangent-hyperbolic liquid. J Magn Magn Mater 405:97–106CrossRef
31.
Zurück zum Zitat Sui J, Zheng L, Zhang X, Chen G (2015) Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate. Int J Heat Mass Transf 85:1023–1033CrossRef Sui J, Zheng L, Zhang X, Chen G (2015) Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate. Int J Heat Mass Transf 85:1023–1033CrossRef
32.
Zurück zum Zitat Shehzad SA, Hayat T, Abbasi FM, Javed T, Kutbi MA (2016) Three-dimensional Oldroyd-B fluid flow with Cattaneo-Christov heat flux model. Eur Phys J Plus 131:112CrossRef Shehzad SA, Hayat T, Abbasi FM, Javed T, Kutbi MA (2016) Three-dimensional Oldroyd-B fluid flow with Cattaneo-Christov heat flux model. Eur Phys J Plus 131:112CrossRef
33.
Zurück zum Zitat Farooq U, Zhao YL, Hayat T, Alsaedi A, Liao SJ (2015) Application of the HAM-based mathematica package BVPh 2.0 on MHD Falkner-Skan flow of nanoflui. Comput Fluids 111:69–75MathSciNetCrossRefMATH Farooq U, Zhao YL, Hayat T, Alsaedi A, Liao SJ (2015) Application of the HAM-based mathematica package BVPh 2.0 on MHD Falkner-Skan flow of nanoflui. Comput Fluids 111:69–75MathSciNetCrossRefMATH
34.
Zurück zum Zitat Abbasi FM, Shehzad SA, Hayat T, Ahmad B (2016) Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption. J Magn Magn Mater 404:159–165CrossRef Abbasi FM, Shehzad SA, Hayat T, Ahmad B (2016) Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption. J Magn Magn Mater 404:159–165CrossRef
35.
Zurück zum Zitat Hayat T, Qayyum S, Shehzad SA, Alsaedi A (2017) Simultaneous effects of heat generation/absorption and thermal radiation in magnetohydrodynamics (MHD) flow of Maxwell nanofluid towards a stretched surface. Results Phys 7:562–573CrossRef Hayat T, Qayyum S, Shehzad SA, Alsaedi A (2017) Simultaneous effects of heat generation/absorption and thermal radiation in magnetohydrodynamics (MHD) flow of Maxwell nanofluid towards a stretched surface. Results Phys 7:562–573CrossRef
Metadaten
Titel
Magnetohydrodynamic three-dimensional nonlinear convective flow of viscoelastic nanofluid with heat and mass flux conditions
Publikationsdatum
07.07.2017
Erschienen in
Neural Computing and Applications / Ausgabe 4/2019
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-017-3129-y

Weitere Artikel der Ausgabe 4/2019

Neural Computing and Applications 4/2019 Zur Ausgabe