Advertisement

MHD Carreau Fluid Flow Past a Melting Surface with Cattaneo-Christov Heat Flux

  • K. Anantha Kumar
  • Janke V. Ramana Reddy
  • V. SugunammaEmail author
  • N. Sandeep
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In this article, we presented simultaneous solutions for magnetohydrodynamic Cattaneo-Christov flow of Carreau fluid over a variable thickness melting surface. Firstly, proper transformations are considered to convert the basic flow equations as ODE. The solution of these ODEs is obtained by the consecutive application of shooting and R.K. fourth-order methods. Graphs are plotted with the assistance of MATLAB package to emphasize the impact of various physical parameters on the flow fields. Further, the rate of heat transfer and friction factor are also intended and depicted with the help of a table. Results indicate that fluid velocity has inverse relationship with melting and magnetic field parameters. Also the nonuniform heat source/sink parameters play a key role in heat transfer performance.

References

  1. 1.
    Adegbie, K.S., Omowaye, A.J., Disu, A.B., Animasaun, I.L.: Heat and mass transfer of upper convected Maxwell fluid flow with variable thermo-physical properties over a horizontal melting surface. Appl. Math. 6, 1362–1379 (2016)CrossRefGoogle Scholar
  2. 2.
    Babu, M.J., Sandeep, N.: MHD non-Newtonian fluid flow over a slendering stretching sheet in the presence of cross-diffusion effects. Alex. Eng. J. 55, 2193–2201 (2017)CrossRefGoogle Scholar
  3. 3.
    Cattaneo, C.: Sulla conduzione del calore. Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 3, 83–101 (1948)MathSciNetzbMATHGoogle Scholar
  4. 4.
    Christov, C.I.: On frame indifferent formulation of the Maxwell-Cattaneo model of finite speed heat conduction. Mech. Res. Comm. 36, 481–486 (2009)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Hanks, R.W., Larsen, K.M.: The flow of power-law non-Newtonian fluids in concentric Annuli. Ind. Eng. Chem. Fund.18, 33–35 (1979)CrossRefGoogle Scholar
  6. 6.
    Hayat, T., Farooq, M., Alsaedi, A., Solamy, F.A.: Impact of Cattaneo-Christov heat flux in the flow over a stretching sheet with variable thickness. AIP Adv. 5, Article Id: 087159 (2015)Google Scholar
  7. 7.
    Hayat, T., Mustafa, M., Shehzad, S.A., Obaidat, S.: Melting heat transfer in the stagnation point flow of an Upper-convected Maxwell (UCM) fluid past a stretching sheet. Int. J. Numer. Meth. Fluids. 68, (2012) 233–243MathSciNetCrossRefGoogle Scholar
  8. 8.
    Khan, M., Azam, M.: Unsteady boundary layer flow of Carreau fluid over a permeable stretching surface. Res. Phys. 6, 1168–1174 (2016)Google Scholar
  9. 9.
    Kumar, K.A., Reddy, J.V.R., Sandeep, N., Sugunamma, V.: Dual solutions for thermo diffusion and diffusion thermo effects on 3D MHD Casson fluid flow over a stretching surface, Res. J. Pharm. Tech. 9, 1187–1194 (2016)CrossRefGoogle Scholar
  10. 10.
    Kumar, K.A., Reddy, J.V.R., Sugunamma, V., Sandeep, N.: Magnetohydrodynamic Cattaneo-Christov flow past a cone and a wedge with variable heat source/sink. Alex. Eng. J. 57, 435–443 (2018)CrossRefGoogle Scholar
  11. 11.
    Kumar, K.A., Reddy, J.V.R., Sugunamma, V., Sandeep, N.: Impact of cross diffusion on MHD viscoelastic fluid flow past a melting surface with exponential heat source. Multi. Mod. Mat. Str., (2018) https://doi.org/10.1108/MMMS-12--2017-0151
  12. 12.
    Reddy, J.V.R., Kumar, K.A., Sugunamma, V., Sandeep, N.: Effect of cross diffusion on MHD non-Newtonian fluids flow past a stretching sheet with non-uniform heat source/sink: A comparative study. Alex. Eng. J. (2017) https://doi.org/10.1016/j.aej.2017.03.008 CrossRefGoogle Scholar
  13. 13.
    Sandeep, N., Animasaun, I.L.: Heat transfer in wall jet flow of magnetic-nanofluids with variable magnetic field. Alex. Eng. J. 56, 263–269 (2017)CrossRefGoogle Scholar
  14. 14.
    Shah, R.A., Abbas, T., Idrees, M., Ullah, M.: MHD Carreau fluid slip flow over a porous stretching sheet with viscous dissipation and variable thermal conductivity. Bound. Value Prob. 94, (2017) https://doi.org/10.1186/s13661-017-0827-4
  15. 15.
    Shateyi, S.: A new numerical approach to MHD flow of a Maxwell fluid past a vertical stretching sheet in the presence of thermophoresis and chemical reaction. Bound. Value Prob. 196, (2013) https://doi.org/10.1186/1687-2770-2013-196

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • K. Anantha Kumar
    • 1
  • Janke V. Ramana Reddy
    • 1
  • V. Sugunamma
    • 1
    Email author
  • N. Sandeep
    • 2
  1. 1.Department of MathematicsSri Venkateswara UniversityTirupatiIndia
  2. 2.Department of MathematicsCentral University of KarnatakaKalaburagiIndia

Personalised recommendations