Effects of Thermal Radiation on Peristaltic Flow of Nanofluid in a Channel with Joule Heating and Hall Current

  • R. Latha
  • B. Rushi KumarEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)


The present article has been arranged to study the Hall current and Joule heating effects with thermal radiation on peristaltic flow of nanofluid in a channel with flexible walls. Convective conditions for heat transfer in the formulation are adopted. Viscous dissipation in energy expression is taken into account. Resulting differential systems after invoking small Reynolds number and long wavelength considerations are numerically solved. Runge-Kutta scheme of order four is implemented for the results of axial velocity, temperature, and concentration. Outcomes of new parameters like Brownian motion parameter, thermophoresis parameter, thermal radiation parameter, Prandtl number, and Eckert number on the physical quantities of interest are discussed. It is found that the influence of thermal radiation parameter and the Biot number on the temperature is the same fashion.


peristaltic flow Hall current Nano fluid heat dissipation permeability joule heating. 


  1. 1.
    Mekheimer, Kh. S. Abd Elmaboud, Y. : Peristaltic flow of a couple stress fluid in an annulus: application of an endoscope. Phys A. 387, 2403–15 (2008)CrossRefGoogle Scholar
  2. 2.
    Mekheimer, Kh. S. Abd Elmaboud, Y. : The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: an application of an endoscope. Phys. Lett. A. 372, 1657–65 (2008)CrossRefGoogle Scholar
  3. 3.
    Srinivas, S. Kothandapani, M.: Peristaltic transport in an asymmetric channel with heat transfer, a note. Int. Commun. Heat Mass Trans. 35, 514–22 (2008)CrossRefGoogle Scholar
  4. 4.
    Srinivas, S. Gayathri, R.: Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium. Appl. Math. Comput. 215, 185–96 (2009)MathSciNetzbMATHGoogle Scholar
  5. 5.
    Srinivas, S. Gayathri, R. Kothandapani, M.: The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport. Comput. Phys. Commun. 180, 2115–22 (2009)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Srinivas, S. Kothandapani, M.: The influence of heat and mass transfer on MHD peristaltic flow through porous space with compliant walls. Appl. Math. Comput. 213, 197–208 (2009)MathSciNetzbMATHGoogle Scholar
  7. 7.
    Kothandapani, M. Srinivas, S. : Peristaltic transport of a Jeffery fluid under the effect of magnetic field in an asymmetric channel, Int. J. Non-Linear Mech. 43, 915–924 (2008)CrossRefGoogle Scholar
  8. 8.
    Manton, M. J. : Long-wavelength peristaltic pumping at low Reynolds number Journal of Fluid Mech. 68, 467–476 (1975)Google Scholar
  9. 9.
    Kaimal, M. R. : Peristaltic Pumping of a Newtonian Fluid With Particles Suspended in It at Low Reynolds Number Under Long Wavelength Approximations, J. Appl. Mechs. 45, 32–36 (1978)MathSciNetCrossRefGoogle Scholar
  10. 10.
    Shapiro, A. H. Jaffrin, M. Y. Weinberg, S. I. : Peristaltic pumping with long wavelengths at low Reynolds number. J. Fluid Mech. 37, 799–825 (1969)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsVITVelloreIndia
  2. 2.Department of Mathematics, School of Advanced SciencesVellore Institute of TechnologyVelloreIndia

Personalised recommendations