Advertisement

Effect of Slip and Convective Heating on Unsteady MHD Chemically Reacting Flow Over a Porous Surface with Suction

  • A. Malarselvi
  • M. Bhuvaneswari
  • S. SivasankaranEmail author
  • B. Ganga
  • A. K. Abdul Hakeem
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The influence of slip and convective boundary heating on unsteady forced convective heat transfer of an electrically conducting incompressible fluid over a flat plate in the presence of uniform magnetic field along with chemical reaction is examined. The governing partial differential equations are transformed into ordinary differential equations by applying similarity transformations. Then the reduced equations are solved numerically by shooting technique and Runge-Kutta method and are solved analytically by homotopy analysis method.

Keywords

Chemical reaction Forced convection MHD Unsteady flow Slip effect 

References

  1. 1.
    Makinde, O.D.: Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition. Thermal science, 15(1), S137–S143 (2011).Google Scholar
  2. 2.
    Eswaramoorthi, S., Bhuvaneswari, M., Sivasankaran,S. Rajan, S.: Effect of radiation on MHD convective flow and heat transfer of a viscoelastic fluid over a stretching surface. Procedia Engineering, 127, 916–923 (2015).CrossRefGoogle Scholar
  3. 3.
    Eswaramoorthi, S., Bhuvaneswari, M., Sivasankaran, S., Rajan, S.: Soret and Dufour effects on viscoelastic boundary layer flow, heat and mass transfer in a stretching surface with convective boundary condition in the presence of radiation and chemical reaction. Scientia Iranica B, 23(6), 2575–86 (2016).CrossRefGoogle Scholar
  4. 4.
    Merkin J.K, Pop, I.: The forced convective flow of a uniform stream over a flat surface with a convective surface boundary condition. Communication in Nonlinear Science and Numerical Simulation, 16(9), 3602–3609 (2011).CrossRefGoogle Scholar
  5. 5.
    Bhattacharyya, K., Layek, G.C.: Similarity solution of MHD boundary layer flow with diffusion and chemical reaction over a porous flat plate with suction/blowing. Meccanica , 47(4), 1043–1048 (2012).MathSciNetCrossRefGoogle Scholar
  6. 6.
    Nabil, T.M., El-dabe, Hassan, M.A., Godh, W.A.: Unsteady magneto hydrodynamic free convection flow past a semi-infinite permeable moving plate through porous medium with chemical reaction and radiation absorption. Journal of Heat Transfer, 135(2), 024501 (2012)CrossRefGoogle Scholar
  7. 7.
    Ferdows, M., Kaino, K., Sivasankaran, S.: Free convection flow in an inclined porous surface. Journal of porous media, 12(10), 997–1003 (2009).CrossRefGoogle Scholar
  8. 8.
    Bhuvaneswari, M., Sivasankaran, S., Kim ,Y.J.: Lie group analysis of radiation natural convection flow over an inclined surface in a porous medium with internal heat generation. Journal of porous media, 15(12), 1155–1164 (2012).CrossRefGoogle Scholar
  9. 9.
    Chamkha, A.J., Rashad, A.M.: Unsteady heat and mass transfer by MHD mixed convection flow from a rotating vertical cone with chemical reaction and soret and dufour effects. Canadian Journal of Chemical Engineering, 92(4), 758–767 (2014).CrossRefGoogle Scholar
  10. 10.
    Karthikeyan, S., Bhuvaneswari, M., Sivasankaran, S., Rajan, S.: Soret and Dufour effects on MHD mixed convection heat and mass transfer of a stagnation point flow towards a vertical plate in a porous medium with chemical reaction, radiation and heat generation. Journal of Applied Fluid Mechanics, 9(3), 1447–1455 (2016).CrossRefGoogle Scholar
  11. 11.
    Niranjan, H., Sivasankaran, S., Bhuvaneswari, M.: Chemical reaction, Soret and Dufour effects on MHD mixed convection stagnation point flow with radiation and slip condition. Scientia Iranica B, 24(2), 698–706 (2017).Google Scholar
  12. 12.
    Sivasankaran, S., Niranjan, H., Bhuvaneswari, M.: Chemical reaction, radiation and slip effects on MHD mixed convection stagnation-point flow in a porous medium with convective boundary condition. International Journal of Numerical Methods for Heat and Fluid Flow, 27(2), 454–470 (2017).CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • A. Malarselvi
    • 1
  • M. Bhuvaneswari
    • 2
  • S. Sivasankaran
    • 2
    Email author
  • B. Ganga
    • 1
  • A. K. Abdul Hakeem
    • 3
  1. 1.Department of MathematicsProvidence College for WomenCoonoorIndia
  2. 2.Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of MathematicsSri Ramakrishna Mission Vidhyalaya College of Arts and ScienceCoimbatoreIndia

Personalised recommendations