Skip to main content
Top

2021 | OriginalPaper | Chapter

MHD Casson Fluid Flow Past a Stretching Sheet with Convective Boundary and Heat Source

Authors : K. Venkateswara Raju, P. Durga Prasad, M. C. Raju, R. Sivaraj

Published in: Advances in Fluid Dynamics

Publisher: Springer Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this manuscript, we investigate an electrically conducting, laminar and an incompressible 2D (two-dimensional) Casson fluid above a nonlinear permeable sheet in the occurrence of Newtonian heating and heat source. The nonlinear coupled arrangement of typical differential conditions are acquired through appropriate changes and after that figured by utilizing R-K method including shooting technique. The behaviour of dimensionless parameters is presented graphically and discussed velocity and temperature distributions along with friction aspect coefficient and rate of heat transfer concerning Nusselt number. It is discovered that the Casson and Newtonian warming parameters increase the grinding factor coefficient and heat transfer rates.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
1.
go back to reference Hassan MA, Pathak M, Khan MK (2013) Natural convection of visco-plastic fluids ina square enclosure. J Heat Trans 135:122501–122512CrossRef Hassan MA, Pathak M, Khan MK (2013) Natural convection of visco-plastic fluids ina square enclosure. J Heat Trans 135:122501–122512CrossRef
2.
go back to reference Kleppe J, Marner WJ (1972) Transient free convection in a Bingham plastic on a vertical flat plate. J Heat Trans 94:371–376CrossRef Kleppe J, Marner WJ (1972) Transient free convection in a Bingham plastic on a vertical flat plate. J Heat Trans 94:371–376CrossRef
3.
go back to reference Khan I, Fakhar K, Anwar MI (2012) Hydromagnetic rotating flows of an Oldroyd-B fluid in a porous medium. Spec Topics Rev Porous Media Int J 3(1):89–95 Khan I, Fakhar K, Anwar MI (2012) Hydromagnetic rotating flows of an Oldroyd-B fluid in a porous medium. Spec Topics Rev Porous Media Int J 3(1):89–95
4.
go back to reference Khan I, Farhad A, Sharidan S, Qasim M (2014) Unsteady free convection flow in a Walters-B fluid and heat transfer analysis. Bull Malaysian Mathe Sci Soc 37:437–448MathSciNetMATH Khan I, Farhad A, Sharidan S, Qasim M (2014) Unsteady free convection flow in a Walters-B fluid and heat transfer analysis. Bull Malaysian Mathe Sci Soc 37:437–448MathSciNetMATH
5.
go back to reference Zakaria MN, Hussanan A, Khan I, Shafie S (2013) The effects of radiation on free convection flow with ramped wall temperature in Brinkman type fluid. Jurnal Teknologi 62(3):33–39 Zakaria MN, Hussanan A, Khan I, Shafie S (2013) The effects of radiation on free convection flow with ramped wall temperature in Brinkman type fluid. Jurnal Teknologi 62(3):33–39
6.
go back to reference Olajuwon BI (2009) Flow and natural convection heat transfer in a power law fluid past a vertical plate with heat generation. Int J Nonlinear Sci 7:50–56MathSciNetMATH Olajuwon BI (2009) Flow and natural convection heat transfer in a power law fluid past a vertical plate with heat generation. Int J Nonlinear Sci 7:50–56MathSciNetMATH
7.
go back to reference Qasim M (2013) Heat and mass transfer in a Jeffrey fluid over a stretching sheet with heat source/sink. Alexandria Eng J 52:571–575CrossRef Qasim M (2013) Heat and mass transfer in a Jeffrey fluid over a stretching sheet with heat source/sink. Alexandria Eng J 52:571–575CrossRef
8.
go back to reference Khan I, Ali F, Shafie S (2013) Exact Solutions for Unsteady Magnetohydrodynamic oscillatory flow of a maxwell fluid in a porous medium. Zeitschrift für Naturforschung A 68(10–11):635–645CrossRef Khan I, Ali F, Shafie S (2013) Exact Solutions for Unsteady Magnetohydrodynamic oscillatory flow of a maxwell fluid in a porous medium. Zeitschrift für Naturforschung A 68(10–11):635–645CrossRef
9.
go back to reference Casson N (1959) A flow equation for pigment oil suspensions of the printing ink type In: Mill CC (ed) Rheology of disperse systems. Pergamon Press Oxford, pp 84–102 Casson N (1959) A flow equation for pigment oil suspensions of the printing ink type In: Mill CC (ed) Rheology of disperse systems. Pergamon Press Oxford, pp 84–102
10.
go back to reference Crane LJ (1970) Flow past a stretching plate. J Appl Mathe Phys 21:645–647 Crane LJ (1970) Flow past a stretching plate. J Appl Mathe Phys 21:645–647
11.
go back to reference Madhusudhana Rao B, Durga Prasad P, Senthil Dhanasekar N, Varma SVK (2017) Unsteady Casson fluid flow over stretching sheet through porous medium with heat generation and viscous dissipation. J Ultra Sci Phys Sci B 29:325–336 Madhusudhana Rao B, Durga Prasad P, Senthil Dhanasekar N, Varma SVK (2017) Unsteady Casson fluid flow over stretching sheet through porous medium with heat generation and viscous dissipation. J Ultra Sci Phys Sci B 29:325–336
12.
go back to reference Mustafa M, Hayat T, Pop I, Aziz A (2011) Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Trans-Asian Res 40:553–576CrossRef Mustafa M, Hayat T, Pop I, Aziz A (2011) Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Trans-Asian Res 40:553–576CrossRef
13.
go back to reference Merkin JH (1994) Natural convection boundary layer flow on a vertical surface with Newtonian Heating. Int J Heat Fluid Flow 15:392–398CrossRef Merkin JH (1994) Natural convection boundary layer flow on a vertical surface with Newtonian Heating. Int J Heat Fluid Flow 15:392–398CrossRef
14.
go back to reference Mukhopadhyay S, Bhattacharyya K, Hayat T (2013) Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects. Chinese Phys B 22(11):114701-6 Mukhopadhyay S, Bhattacharyya K, Hayat T (2013) Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects. Chinese Phys B 22(11):114701-6
15.
go back to reference Salleh MZ, Nazar R, Arifin NM, Pop I, Merkin JH (2011) Forced-convection heat transfer over a circular cylinder with Newtonian heating. J Eng Mathe 69(1):101–110MathSciNetCrossRef Salleh MZ, Nazar R, Arifin NM, Pop I, Merkin JH (2011) Forced-convection heat transfer over a circular cylinder with Newtonian heating. J Eng Mathe 69(1):101–110MathSciNetCrossRef
16.
go back to reference Das S, Mandal C, Jana RN (2012) Radiation effects on unsteady free convection flow past a vertical plate with Newtonian heating. Int J Comput Appl 41:36–41 Das S, Mandal C, Jana RN (2012) Radiation effects on unsteady free convection flow past a vertical plate with Newtonian heating. Int J Comput Appl 41:36–41
17.
go back to reference Abdul Rahman Mohd Kasim, Mohammad NF, Sharidan S (2012) Natural convection boundary layer flow of a visco elastic fluid on solid sphere with Newtonian heating. World Acad Sci Eng Technol 64: 628-633 Abdul Rahman Mohd Kasim, Mohammad NF, Sharidan S (2012) Natural convection boundary layer flow of a visco elastic fluid on solid sphere with Newtonian heating. World Acad Sci Eng Technol 64: 628-633
18.
go back to reference Salleh MZ, Nazar R, Pop I (2010) Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating. J Taiwan Inst Chem Eng 41:651–655 Salleh MZ, Nazar R, Pop I (2010) Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating. J Taiwan Inst Chem Eng 41:651–655
19.
go back to reference Cortell R (2007) Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl Mathe Comput 184:864–873MathSciNetCrossRef Cortell R (2007) Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl Mathe Comput 184:864–873MathSciNetCrossRef
20.
go back to reference Ullah I, Shafie S, Khan I (2017) Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium. J King Saud Univ Sci 29(2):250–259CrossRef Ullah I, Shafie S, Khan I (2017) Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium. J King Saud Univ Sci 29(2):250–259CrossRef
21.
go back to reference AbdulHakeem AK, Renuka P, VishnuGanesh N, Kalaivanan R, Ganga B (2016) Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer. J Magn Magn Mater 401:354–361 AbdulHakeem AK, Renuka P, VishnuGanesh N, Kalaivanan R, Ganga B (2016) Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer. J Magn Magn Mater 401:354–361
22.
go back to reference Abdul Hakeem AK, Govindaraju M, Ganga B, Kayalvizhi M (2016) Second law analysis for radiative MHD slip flow of a nano fluid over a stretching sheet with non-uniform heat source effect Scientia Iranica F 23:1524–1538 Abdul Hakeem AK, Govindaraju M, Ganga B, Kayalvizhi M (2016) Second law analysis for radiative MHD slip flow of a nano fluid over a stretching sheet with non-uniform heat source effect Scientia Iranica F 23:1524–1538
Metadata
Title
MHD Casson Fluid Flow Past a Stretching Sheet with Convective Boundary and Heat Source
Authors
K. Venkateswara Raju
P. Durga Prasad
M. C. Raju
R. Sivaraj
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-4308-1_44

Premium Partners