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Erschienen in: Meccanica 8/2015

01.08.2015

MHD convective stagnation-point flow of nanofluids over a non-isothermal stretching sheet with induced magnetic field

verfasst von: Dulal Pal, Gopinath Mandal

Erschienen in: Meccanica | Ausgabe 8/2015

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Abstract

This paper is concern with the investigation of buoyancy-driven hydromagnetic mixed convection stagnation-point flow of nanofluids over a stretching sheet in the presence of induced magnetic field. Three types of nanofluids namely, Cu–water, \(\hbox {Al}_2\hbox {O}_3\)–water, \(\hbox {TiO}_2\)–water are considered. The resulting system is solved numerically by a fifth-order Runge–Kutta–Fehlberg scheme with shooting technique. Numerical results are validated by comparing the present results with previously published results. Investigations predict that the effects of magnetic field is to increase induced magnetic field, whereas reverse effects is seen by increasing the volume fraction of the nanoparticles.

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Literatur
1.
Zurück zum Zitat Sakiadis BC (1961) Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE J 7:26–28CrossRef Sakiadis BC (1961) Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE J 7:26–28CrossRef
2.
Zurück zum Zitat Crane LJ (1970) Flow past a s tretching plate. J Appl Math Phys (ZAMP) 21:645–647CrossRef Crane LJ (1970) Flow past a s tretching plate. J Appl Math Phys (ZAMP) 21:645–647CrossRef
3.
Zurück zum Zitat Fang T, Zhang J (2008) Flow between two stretchable disks—an exact solution of the Navier–Stokes equations. Int Commun Heat Mass Transf 35(8):892–895CrossRef Fang T, Zhang J (2008) Flow between two stretchable disks—an exact solution of the Navier–Stokes equations. Int Commun Heat Mass Transf 35(8):892–895CrossRef
4.
Zurück zum Zitat Hayat T, Abbas Z, Sajid M (2009) MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface. Chaos Solitons Fractals 39:840–848ADSCrossRef Hayat T, Abbas Z, Sajid M (2009) MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface. Chaos Solitons Fractals 39:840–848ADSCrossRef
5.
Zurück zum Zitat Kumaran V, Banerjee AK, Vanav AK, Vajravelu K (2009) MHD flow past a stretching permeable sheet. Appl Math Comput 210:26–32MathSciNetCrossRef Kumaran V, Banerjee AK, Vanav AK, Vajravelu K (2009) MHD flow past a stretching permeable sheet. Appl Math Comput 210:26–32MathSciNetCrossRef
6.
Zurück zum Zitat Hamad MAA, Pop I, Md. Ismailc AI (2011) Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate. Nonlinear Anal Real World Appl 12:1338–1346MathSciNetCrossRef Hamad MAA, Pop I, Md. Ismailc AI (2011) Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate. Nonlinear Anal Real World Appl 12:1338–1346MathSciNetCrossRef
7.
Zurück zum Zitat Wubshet I, Bandari S, Mahantesh MN (2013) MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. Int J Heat Mass Transf 56:1–9CrossRef Wubshet I, Bandari S, Mahantesh MN (2013) MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. Int J Heat Mass Transf 56:1–9CrossRef
8.
Zurück zum Zitat Aydin O, Kaya A (2009) MHD mixed convection of a viscous dissipating fluid about a permeable vertical flat plate. Appl Math Model 33:4086–4096CrossRef Aydin O, Kaya A (2009) MHD mixed convection of a viscous dissipating fluid about a permeable vertical flat plate. Appl Math Model 33:4086–4096CrossRef
9.
Zurück zum Zitat Ahmed S, Anwar OB, Vedad S, Zeinalkhani M, Heidari A (2012) Mathematical modelling of magnetohydrodynamic transient free and forced convective flow with induced magnetic field effects. Int J Pure Appl Sci Technol 11(1):109–125 Ahmed S, Anwar OB, Vedad S, Zeinalkhani M, Heidari A (2012) Mathematical modelling of magnetohydrodynamic transient free and forced convective flow with induced magnetic field effects. Int J Pure Appl Sci Technol 11(1):109–125
10.
Zurück zum Zitat Elbashbeshy EMA, Aldawody DA (2010) Effects of thermal radiation and magnetic field on unsteady mixed convection flow and heat transfer over a porous stretching surface. Int J Nonlinear Sci 9(4):448–454MathSciNet Elbashbeshy EMA, Aldawody DA (2010) Effects of thermal radiation and magnetic field on unsteady mixed convection flow and heat transfer over a porous stretching surface. Int J Nonlinear Sci 9(4):448–454MathSciNet
11.
Zurück zum Zitat Hamad MAA (2011) Analytic solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnatic field. Int Commun Heat Mass Transf 38:487–492CrossRef Hamad MAA (2011) Analytic solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnatic field. Int Commun Heat Mass Transf 38:487–492CrossRef
12.
Zurück zum Zitat Ali FM, Nazar R, Arifin NM, Pop I (2013) Dual solutions in MHD flow on a nonlinear porous shrinking sheet in a viscous fluid. Bound Value Probl 32:2013MathSciNet Ali FM, Nazar R, Arifin NM, Pop I (2013) Dual solutions in MHD flow on a nonlinear porous shrinking sheet in a viscous fluid. Bound Value Probl 32:2013MathSciNet
13.
Zurück zum Zitat Ishak A, Nazar R, Bachok A, Pop I (2010) MHD mixed convection flow near the stagnation-point on a vertical permeable surface. Phys A 389:40–46CrossRef Ishak A, Nazar R, Bachok A, Pop I (2010) MHD mixed convection flow near the stagnation-point on a vertical permeable surface. Phys A 389:40–46CrossRef
14.
Zurück zum Zitat Kuznetsov AV, Nield DA (2010) Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci 49(2):243–247MathSciNetCrossRef Kuznetsov AV, Nield DA (2010) Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci 49(2):243–247MathSciNetCrossRef
15.
Zurück zum Zitat Vajravelu K, Prasad KV, Lee J, Lee C (2011) Convective heat transfer in the flow of viscous Ag–water and Cu–water nanofluids over a stretching surface. Int J Therm Sci 50(5):843–851CrossRef Vajravelu K, Prasad KV, Lee J, Lee C (2011) Convective heat transfer in the flow of viscous Ag–water and Cu–water nanofluids over a stretching surface. Int J Therm Sci 50(5):843–851CrossRef
16.
Zurück zum Zitat Ali FM, Nazar R, Arifin NM, Pop I (2011) MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field. Appl Math Mech Engl Ed 32:409–418MathSciNetCrossRef Ali FM, Nazar R, Arifin NM, Pop I (2011) MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field. Appl Math Mech Engl Ed 32:409–418MathSciNetCrossRef
17.
Zurück zum Zitat Anwar O, Bakier AY, Prasade VR, Zueco J, Ghosh SK (2009) Nonsimilar laminar steady electrically conducting forced convection liquid metal boundary layer flow with induced magnetic field effects. Int J Therm Sci 48:1596–1606CrossRef Anwar O, Bakier AY, Prasade VR, Zueco J, Ghosh SK (2009) Nonsimilar laminar steady electrically conducting forced convection liquid metal boundary layer flow with induced magnetic field effects. Int J Therm Sci 48:1596–1606CrossRef
18.
Zurück zum Zitat Nadeem S, Akbar NS (2011) Influence of heat and mass transfer on the peristaltic flow of a Johnson Segalman fluid in a vertical asymmetric channel with induced MHD. J Taiwan Inst Chem Eng 42:58–66CrossRef Nadeem S, Akbar NS (2011) Influence of heat and mass transfer on the peristaltic flow of a Johnson Segalman fluid in a vertical asymmetric channel with induced MHD. J Taiwan Inst Chem Eng 42:58–66CrossRef
19.
Zurück zum Zitat Kumari M, Takhar HS, Nath G (1990) MHD flow and heat transfer over a stretching surface with prescribed wall temperature or heat flux. Warme und Stoff Ubertragung 25(6):331–336ADSCrossRef Kumari M, Takhar HS, Nath G (1990) MHD flow and heat transfer over a stretching surface with prescribed wall temperature or heat flux. Warme und Stoff Ubertragung 25(6):331–336ADSCrossRef
20.
Zurück zum Zitat Ishak A, Nazar R, Arifin NM, Pop I (2007) Dual solution in magnetodyrodynamic mixed convective fow near a stagnation-point on a vertical surface. ASME J Heat Transf 129:1212–1216CrossRef Ishak A, Nazar R, Arifin NM, Pop I (2007) Dual solution in magnetodyrodynamic mixed convective fow near a stagnation-point on a vertical surface. ASME J Heat Transf 129:1212–1216CrossRef
21.
Zurück zum Zitat Ali FM, Nazar R, Arifin NM, Pop I (2010) MHD mixed convective boundary layer flow towards a stagnation point on a vertical surface with induced magnetic field. ASME J Heat Transf 133(2):022502 (6 pages)CrossRef Ali FM, Nazar R, Arifin NM, Pop I (2010) MHD mixed convective boundary layer flow towards a stagnation point on a vertical surface with induced magnetic field. ASME J Heat Transf 133(2):022502 (6 pages)CrossRef
22.
Zurück zum Zitat Ghosh SK, Anwar Bg O, Zueco J (2010) Hydromagnetic free convection flow with induced magnetic field effects. Meccanica 45:175–185MathSciNetCrossRef Ghosh SK, Anwar Bg O, Zueco J (2010) Hydromagnetic free convection flow with induced magnetic field effects. Meccanica 45:175–185MathSciNetCrossRef
23.
Zurück zum Zitat Jafar K, Nazar R, Ishak A, Pop I (2010) Magnetohydrodynamic flow over amoving plate in a parallel stream with induced magnetic field. Int J Miner Mater 17(4):397–402CrossRef Jafar K, Nazar R, Ishak A, Pop I (2010) Magnetohydrodynamic flow over amoving plate in a parallel stream with induced magnetic field. Int J Miner Mater 17(4):397–402CrossRef
24.
Zurück zum Zitat Jafar K, Nazar R, Ishak A, Pop I (2013) MHD boundary layer flow due to a moving wedge with induced magnetic field. Bound Value Probl 2013:20MathSciNetCrossRef Jafar K, Nazar R, Ishak A, Pop I (2013) MHD boundary layer flow due to a moving wedge with induced magnetic field. Bound Value Probl 2013:20MathSciNetCrossRef
25.
Zurück zum Zitat Lotfi R, Saboohi Y, Rashidi A (2010) Numerical study of forced convective heat transfer of nanofluids: comparison of different approaches. Int Commun Heat Mass Transf 37(1):74–78CrossRef Lotfi R, Saboohi Y, Rashidi A (2010) Numerical study of forced convective heat transfer of nanofluids: comparison of different approaches. Int Commun Heat Mass Transf 37(1):74–78CrossRef
26.
Zurück zum Zitat Choi S, Zhang Z, Yu W, Lockwood F, Grulke E (2001) Anomalously thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett 79(14):2252–2254ADSCrossRef Choi S, Zhang Z, Yu W, Lockwood F, Grulke E (2001) Anomalously thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett 79(14):2252–2254ADSCrossRef
27.
Zurück zum Zitat Karwe MV, Jaluria Y (1991) Numerical simulation of thermal transport associated with a continuous moving flat sheet in materials processing. ASME J Heat Transf 113:612–619CrossRef Karwe MV, Jaluria Y (1991) Numerical simulation of thermal transport associated with a continuous moving flat sheet in materials processing. ASME J Heat Transf 113:612–619CrossRef
28.
Zurück zum Zitat Cowling TG (1957) Magnetohydrodynamics. Interscience, New York Cowling TG (1957) Magnetohydrodynamics. Interscience, New York
30.
Zurück zum Zitat Ali FM, Nazar R, Arifin NM, Pop I (2011) MHD boundary layer flow and heat transfer over a stretching sheet with induced mahnetic field. Heat Mass Transf 47:155–162ADSCrossRef Ali FM, Nazar R, Arifin NM, Pop I (2011) MHD boundary layer flow and heat transfer over a stretching sheet with induced mahnetic field. Heat Mass Transf 47:155–162ADSCrossRef
31.
Zurück zum Zitat Oztop HF, Abu-Nada E (2008) Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow 29:1326–1336CrossRef Oztop HF, Abu-Nada E (2008) Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. Int J Heat Fluid Flow 29:1326–1336CrossRef
32.
Zurück zum Zitat Ishak A, Nazar R, Pop I (2006) Mixed convection boundary layers in the stagnation-point flow towards a stretching vertical sheet. Meccanica 41:509–518CrossRef Ishak A, Nazar R, Pop I (2006) Mixed convection boundary layers in the stagnation-point flow towards a stretching vertical sheet. Meccanica 41:509–518CrossRef
Metadaten
Titel
MHD convective stagnation-point flow of nanofluids over a non-isothermal stretching sheet with induced magnetic field
verfasst von
Dulal Pal
Gopinath Mandal
Publikationsdatum
01.08.2015
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 8/2015
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-015-0153-9

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