Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Meccanica
Erschienen in: Meccanica 6/2013

01.08.2013

MHD flow and heat transfer over a stretching surface with variable thermal conductivity and partial slip

verfasst von: Mahantesh M. Nandeppanavar, K. Vajravelu, M. Subhas Abel, M. N. Siddalingappa

Erschienen in: Meccanica | Ausgabe 6/2013

Einloggen

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

search-config
loading …

Abstract

In this paper we analyze the flow and heat transfer of an MHD fluid over an impermeable stretching surface with variable thermal conductivity and non-uniform heat source/sink in the presence of partial slip. The governing partial differential equations of the problem are reduced to nonlinear ordinary differential equations by using a similarity transformation. The temperature boundary conditions are assumed to be linear functions of the distance from the origin. Analytical solutions of the energy equations for Prescribed Surface Temperature (PST) and Prescribed Heat Flux (PHF) cases are obtained in terms of a hypergeometric function, without applying the boundary-layer approximation. The effects of the governing parameters on the flow and heat transfer fields are presented through tables and graphs, and they are discussed. Furthermore, the obtained numerical results for the skin friction, wall-temperature gradient and wall temperature are analyzed and compared with the available results in the literature for special cases.
Vorheriger Artikel Multi-objective optimal design of laminated composite skirt using hybrid NSGA
Nächster Artikel Damage assessment of tensegrity structures using piezo transducers

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
Literatur
1.
Sakiadis BC (1961) Boundary-layer behavior on continuous solid surface: I. Boundary-layer equation for two dimensional and axisymmetric flow. AIChE J 7:26–28 CrossRef
2.
Sakiadis BC (1961) Boundary layer behavior on continuous solid surface: II. Boundary-layer on a continuous flat surface. AIChE J 7(2):221–225 CrossRef
3.
Blasius H (1908) Grenzschichten in Flussigkeiten mit kleiner Reibung. Z Math Phys 56:1–37
4.
Crane LJ (1970) Flow past a stretching sheet. Z Angew Math Phys 21:645–647 CrossRef
5.
Carragher P, Crane LJ (1982) Heat transfer on a continuous stretching sheet. Z Angew Math Mech 62:564–565 CrossRef
6.
Gupta PS, Gupta AS (1977) Heat and mass transfer on a stretching sheet with suction or blowing. Can J Chem Eng 55:744–746 CrossRef
7.
Grubka LJ, Bobba KM (1985) Heat transfer characteristics of a continuous stretching surface with variable temperature. ASME J Heat Transfer 107:248–250 CrossRef
8.
Chen CK, Char MI (1988) Heat transfer of a continuous stretching surface with suction or blowing. J Math Anal Appl 135:568–580 MathSciNetMATHCrossRef
9.
Chiam TC (1997) Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet. Acta Mech 122:169–179 MATHCrossRef
10.
Cortell R (2005) Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dyn Res 37:231–245 ADSMATHCrossRef
11.
12.
13.
Sarpakaya T (1961) Flow of non-Newtonian fluids in magnetic field. AIChE J 7:24–328
14.
Pal D, Mondal H (2010) Effect of variable viscosity on MHD non-Darcy mixed convective heat transfer over a stretching sheet embedded in a porous medium with non-uniform heat source/sink. Commun Nonlinear Sci Numer Simul 15:1553–1564 MathSciNetADSMATHCrossRef
15.
Pal D, Mondal H (2010) Hydromagnetic non-Darcy flow and heat transfer over a stretching sheet in the presence of thermal radiation and Ohmic dissipation. Commun Nonlinear Sci Numer Simul 15:1197–1209 MathSciNetADSMATHCrossRef
16.
Hayat T, Abbas Z, Pop I, Asghar S (2010) Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium. Int J Heat Mass Transf 53:466–474 MATHCrossRef
17.
Nandeppanavar MM, Vajravelu K, Abel MS (2011) Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with thermal radiation and non-uniform heat source/sink. Commun Non-linear Sci Numer Simul 16:3578–3590 MathSciNetADSMATHCrossRef
18.
Chakrabarti A, Gupta AS (1979) Hydromagnetic flow and heat transfer over a stretching sheet. Q Appl Math 37:73–78 MATH
19.
Andersson HI, Bech KH, Dandapat BS (1992) Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. Int J Non-Linear Mech 27:929–936 MATHCrossRef
20.
Datti PS, Prasad KV, Abel MS, Joshi A (2004) MHD visco-elastic fluid flow over a non-isothermal stretching sheet. Int J Eng Sci 42:935–946 MATHCrossRef
21.
Abel S, Joshi A, Sonth RM (2001) Heat transfer in a MHD visco-elastic fluid over a stretching surface. Z Angew Math Mech 81:691–698 MATHCrossRef
22.
Abel MS, Khan SK, Prasad KV (2002) Study of visco-elastic fluid flow and heat transfer over a stretching sheet with variable viscosity. Int J Non-Linear Mech 37(1):81 MATHCrossRef
23.
Vajravelu K, Rollins D (1992) Heat transfer in electrically conducting fluid over a stretching surface. Int J Non-Linear Mech 27(2):265–277 MATHCrossRef
24.
Vajravelu K, Nayfeh J (1993) Convective heat transfer at a stretching sheet. Acta Mech 96:47–54 MATHCrossRef
25.
26.
Bhattacharya K, Vajravelu K (2012) Stagnation-point flow and heat transfer over an exponentially shrinking sheet. Commun Nonlinear Sci Numer Simul 17:2728–2734 ADSCrossRef
27.
Abo-Eldahab EM, El Aziz MA (2004) Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption. Int J Therm Sci 43:709–719 CrossRef
28.
Nandeppanavar MM, Vajravelu K, Abel MS, Ng C-O (2011) Heat transfer over a nonlinearly stretching sheet with non-uniform heat source and variable wall temperature. Int J Heat Mass Transf 54:4960–4965 MATHCrossRef
29.
Abel MS, Siddheshwar PG, Nandeppanavar MM (2007) Heat transfer in a viscoelastic fluid past a stretching sheet with non-uniform heat source. ???? 50:960–966 MATH
30.
Cortell Bataller R (2007) Viscoelastic fluid flow and heat transfer over a Stretching sheet under the effects of non-uniform heat source, viscous dissipation and thermal radiation. Int J Heat Mass Transf 50:3152–3162 MATHCrossRef
31.
Navier CLMH (1827) Sur les lois du mouvement des fluids. Men Acad R Sci Inst France 6:389–440
32.
Beavers GS, Joseph DD (1967) Boundary conditions at a naturally permeable wall. J Fluid Mech 30:197–207 ADSCrossRef
33.
Laplace P, Arquis E (1998) Boundary layer over a slotted plate. Eur J Mech B, Fluids 17:331–355. 1998 MATHCrossRef
34.
35.
Gad-el-Hak M (1999) The fluid mechanics of micro devices—the Freeman scholar lecture. ASME J Fluids Eng 121:5–33 CrossRef
36.
37.
Malipatil SB (2011) Mathematical Analysis on some aspects of momentum, heat and mass transfer in viscous and viscoelastic boundary layer flow over stretching surface embedded in porous medium. Ph.D. thesis, Gulbarga University, Gulbarga-585106, Karnataka, India
38.
Ariel PD, Hayat T, Asghar S (2006) The flow of an elastico-viscous fluid past a stretching sheet with partial slip. Acta Mech 187:29–35 MATHCrossRef
39.
Hayat T, Javed T, Abbas T (2008) Slip flow and heat transfer of a second grade fluid pas a stretching sheet through a porous space. Int J Heat Mass Transf 51:4528–4534 MATHCrossRef
40.
41.
Pavlov KB (1974) magneto hydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. Magn Gidrodin 4:146–147
42.
Abramowitz M, Stegun LA (1972) Handbook of mathematical functions. National Bureau of Standards/Am Math Soc, Providence, p 55 MATH
43.
Wang CY (2002) Flow due to a stretching boundary with partial slip-an exact solution of the Navier–Stokes equation. Chem Eng Sci 57:3745–3747 CrossRef
44.
Sahoo B (2010) Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip. Commun Nonlinear Sci Numer Simul 15:602–615 MathSciNetADSMATHCrossRef
45.
Mostafa A, Mohamad A, Megahed AM (2012) non-uniform heat generation effect on heat transfer of a non-Newtonian power law fluid over a non-linear stretching sheet. Meccanica. doi:10.​1007/​s1102-011-9499-9
46.
Metadaten
Titel
MHD flow and heat transfer over a stretching surface with variable thermal conductivity and partial slip
verfasst von
Mahantesh M. Nandeppanavar
K. Vajravelu
M. Subhas Abel
M. N. Siddalingappa
Publikationsdatum
01.08.2013
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 6/2013
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-012-9677-4

Weitere Artikel der Ausgabe 6/2013

Meccanica 6/2013 Zur Ausgabe

OriginalPaper

Why do we need probability distributions with fat tails to describe the surface strain evolution in reinforced concrete flexural members?

OriginalPaper

Improved torsional analysis of laminated box beams

OriginalPaper

Multi-objective optimal design of laminated composite skirt using hybrid NSGA

OriginalPaper

Impact of thermophoresis particle deposition and chemical reaction on unsteady non-Darcy mixed convective flow over a porous wedge in the presence of temperature-dependent viscosity

Meccanica Information & Calendar

Calendar

OriginalPaper

Application of Ritz functions in buckling analysis of embedded orthotropic circular and elliptical micro/nano-plates based on nonlocal elasticity theory

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
    Bildnachweise