Advertisement

Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet

  • K. Anantha Kumar
  • V. SugunammaEmail author
  • N. SandeepEmail author
Article
  • 20 Downloads

Abstract

This paper presents the flow and heat transfer characteristics of an electrically conducting Casson fluid past an exponentially stretching curved surface with convective boundary condition. The fluid motion is assumed to be laminar and time dependent. The effects of temperature-dependent thermal conductivity, Joule heating, thermal radiation, and variable heat source/sink are deemed. Suitable transformations are considered to transform the governing partial differential equations as ordinary ones and then solved by the numerical procedures like shooting and Runge–Kutta method. Graphs are outlined to describe the influence of various dimensionless parameters on the fields of velocity and temperature and observe that there is an enhancement in the field of temperature with the radiation, temperature-dependent thermal conductivity, and irregular heat parameters. Also, the Casson parameter has a tendency to suppress the distribution of momentum but an inverse development is noticed for the curvature parameter. Attained outcomes are also compared with the existing literature in the limiting case, and good agreement is perceived.

Keywords

MHD Heat transfer Casson fluid Thermal radiation Variable heat source/sink 

Notes

References

  1. 1.
    Sajid M, Ali N, Javed T, Abbas Z. Stretching a curved surface in a viscous fluid. Chin Phys Lett 2010;27(2):Article ID: 024703.CrossRefGoogle Scholar
  2. 2.
    Abbas Z, Naveed M, Sajid M. Heat transfer analysis for stretching flow over a curved surface with magnetic field. J Eng Thermophys. 2013;22(4):337–45.CrossRefGoogle Scholar
  3. 3.
    Rosca NC, Pop I. Unsteady boundary layer flow over a permeable curved stretching/shrinking surface. Eur J Mech B Fluids. 2015;51:61–7.CrossRefGoogle Scholar
  4. 4.
    Naveed M, Abbas Z, Sajid M. Hydromagnetic flow over an unsteady curved stretching surface. Eng Sci Tech Int J. 2016;19:841–5.CrossRefGoogle Scholar
  5. 5.
    Imtiaz M, Hayat T, Alsaedi A, Hobiny A. Homogeneous–heterogeneous reactions in MHD flow due to an unsteady curved stretching surface. J Mol Liq. 2016;221:245–53.CrossRefGoogle Scholar
  6. 6.
    Okechi NF, Jalil M, Asghar S. Flow of viscous fluid along an exponentially stretching curved surface. Res Phys. 2017;7:2851–7.Google Scholar
  7. 7.
    Hayat T, Nasir T, Khan MI, Alsaedi A. Numerical investigation of MHD with Soret and Dufour effect. Res Phys. 2018;8:1017–22.Google Scholar
  8. 8.
    Anantha Kumar K, Reddy JVR, Sugunamma V, Sandeep N. Simultaneous solutions for MHD flow of Williamson fluid over a curved sheet with non-uniform heat source/sink. Heat Transf Res. 2019;50:581–603.CrossRefGoogle Scholar
  9. 9.
    Dogonchi AS, Tayebi T, Chamkha AJ, Ganji DD. Natural convection analysis in a square enclosure with a wavy circular heater under magnetic field and nanoparticles. J Thermal Anal Calorim. 2019.  https://doi.org/10.1007/s10973-019-08408-0.CrossRefGoogle Scholar
  10. 10.
    Dogonchi AS, Chamkha AJ, Ganji DD. A numerical investigation of magneto-hydrodynamic natural convection of Cu–water nanofluid in a wavy cavity using CVFEM. J Therm Anal Calorim. 2019;135(4):2599–611.CrossRefGoogle Scholar
  11. 11.
    Eldabe NTM, Saddeck G, Sayed AFE. Heat transfer of MHD non-Newtonian Casson fluid flow between two rotation cylinders. Mech Mech Eng. 2001;5(2):237–51.Google Scholar
  12. 12.
    Mustafa M, Hayat T, Pop I, Aziz A. Unsteady boundary layer flow of Casson fluid due to an impulsively started moving plate. Heat Transf Asian Res. 2011;40(6):563–76.CrossRefGoogle Scholar
  13. 13.
    Mukhopadhyay S, De PR, Bhattacharyya K, Layek GC. Casson fluid flow over an unsteady stretching surface. Alex Eng J. 2013;4(4):933–8.Google Scholar
  14. 14.
    Saleh SHM, Arifin NM, Nazar R, Pop I. Unsteady micropolar fluid over a permeable curved stretching shrinking surface. Math Prob Eng. 2017.  https://doi.org/10.1155/2017/3085249.CrossRefGoogle Scholar
  15. 15.
    Anantha Kumar K, Sugunamma V, Sandeep N. Numerical exploration of MHD radiative micropolar liquid flow driven by stretching sheet with primary slip: a comparative study. J Non-Equilib Thermodyn. 2018;44:101–22.Google Scholar
  16. 16.
    Khan NA, Saeed UB, Sultan F, Ullah S, Rehman A. Study of velocity and temperature distributions in boundary layer flow of fourth grade fluid over an exponential stretching sheet. AIP Adv. 2018;8: Article ID: 025011.CrossRefGoogle Scholar
  17. 17.
    Ishak A. MHD boundary layer flow due to an exponentially stretching sheet with radiation effect. Sains Malays. 2011;40(4):391–5.Google Scholar
  18. 18.
    Qayyum S, Hayat T, Shehzad SA, Alsaedi A. Effect of a chemical reaction on magnetohydrodynamic (MHD) stagnation point flow of Walters-B nanofluid with newtonian heat and mass conditions. Nucl Eng Technol. 2017;49:1636–44.CrossRefGoogle Scholar
  19. 19.
    Hayat T, Rashidi M, Imtiaz M, Alsaedi A. MHD convective flow due to a curved surface with thermal radiation and chemical reaction. J Mol Liq. 2017;225:482–9.CrossRefGoogle Scholar
  20. 20.
    Anantha Kumar K, Sugunamma V, Sandeep N. Impact of non-linear radiation on MHD non-aligned stagnation point flow of micropolar fluid over a convective surface. J Non-Equilib Thermodyn. 2018;43:327–45.CrossRefGoogle Scholar
  21. 21.
    Tawade J, Abel MS, Metri PG, Koti A. Thin film flow and heat transfer over an unsteady stretching sheet with thermal radiation, internal heating in the presence of external magnetic field. Int J Adv Appl Math Mech. 2016;3(4):29–40.Google Scholar
  22. 22.
    Zuhra S, Khan NS, Khan MA, Islam S, Khan W, Bonyah E. Flow and heat transfer in water based liquid film fluids dispensed with graphene nanoparticles. Res Phys. 2018;8:1143–57.Google Scholar
  23. 23.
    Patil PM, Kumbarwadi N, Aloor S. Effects of MHD mixed convection with non-uniform heat source/sink and cross-diffusion over exponentially stretching sheet. Int J Numer Methods Heat fluid Flow. 2018.  https://doi.org/10.1108/hff-04-2017-0149.CrossRefGoogle Scholar
  24. 24.
    Ramadevi B, Anantha Kumar K, Sugunamma V, Reddy JVR, Sandeep N. Magnetohydrodynamic mixed convective flow of micropolar fluid past a stretching surface using modified Fourier’s heat flux model. J Thermal Anal Calorim. 2019.  https://doi.org/10.1007/s10973-019-08477-1.CrossRefGoogle Scholar
  25. 25.
    Dogonchi AS, Heremet MA, Ganji DD, Pop I. Free convection of copper–water nanofluid in a porous gap between hot rectangular cylinder and cold circular cylinder under the effect of inclined magnetic field. J Therm Anal Calorim. 2019;135(2):1171–84.CrossRefGoogle Scholar
  26. 26.
    Mahmoud MAA, Megahed AM. MHD flow and heat transfer characteristics in a Casson liquid film towards an unsteady stretching sheet with temperature-dependent thermal conductivity. Braz J Phys. 2017;47(5):512–23.CrossRefGoogle Scholar
  27. 27.
    Khan MI, Zaigham QM, Alsaedi A, Hayat T. Thermally stratified flow of second grade fluid with non-Fourier heat flux and temperature dependent thermal conductivity. Res Phys. 2018;8:799–804.Google Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.Department of MathematicsSri Venkateswara UniversityTirupatiIndia
  2. 2.Department of MathematicsCentral University of KarnatakaKalaburagiIndia

Personalised recommendations