MHD Peristaltic Transport of a Dusty Couple Stress Fluid Through a Symmetric Porous Channel

  • Authors

    • E. P. Siva
    • `J. Prakash
    • A. Govindarajan
    • M. Vidhya
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.20918
  • Peristaltic flow, Couple stress fluid, Long Wavelength approximation, Perturbation

  • This paper agreement with the MHD peristalsis flow of a dusty couple stress liquid in a 2-D channel. Analytical solutions are got for pressure gradient and axial velocity in the fluid using perturbation technique. The results obtained for velocity profile, pressure gradient and skin friction are graphically represented. It is noted the velocity profiles increases with the increase in time averaged flow rate (Q). The velocity profiles reduce with the raise in couple stress parameter (S) and Permeability parameter (k).

     

  • References

    1. [1] Chaturani, P., (1978), “Viscosity of Poiseulle flow of fluid with couplestress with applications to blood flow,†Biorheology, 15, pp. 119-128.

      [2] Chaturani, P. and Rathod, V. P., (1981), “A circular steady of Poiseulle flow of Couple stress with applications to blood flow,†Biorheology, 18, pp. 235-244.

      [3] Dulal Pal, Rudraiah, N., and Devanathan, R., (1988), “A couple stress model of blood flow in the microcirculation,†Bulletin of Mathematical Biology, 50, pp. 329-344.

      [4] Brown, T.D., and Hung, T. K., (1977), “Computational and experimental investigations of two-dimensional nonlinear peristaltic flows,†Journal of Fluid Mechanics, 83, pp. 249-272.

      [5] Subba Reddy, M. H., Jayarami Reddy, B., Nagendra. N and Swaroopa, B., (2012), “ Slip Effects on the peristaltic motion of a Jeffrey fluid through a porous medium in an asymmetric channel under the effect magnetic field,†Journal of Applied Mathematics and Fluid Mechanics, 4, pp. 59-72.

      [6] Ravikumar, S., and Siva Prasad, R., (2010), “ Interaction of pulsatile flow on the peristaltic motion of couple stress fluid through porous medium in a flexible channel,†European Journal of Pure and Applied Mathematics, 3, pp. 213-226.

      [7] Raghunath Rao, T., and Prasada Rao, D. R. V., (2007), “ Peristaltic transport of a couple stress fluid permeated with suspended particles,†International Journal of Advances in Applied Mathematics and Mechanics, 1, pp. 86-102.

      [8] Mekheimer, Kh .S., and Abd elmaboud, Y., (2008), “ The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: application of an endoscope,†Physics Letters A, 372 , pp. 1657-1665.

      [9] Sobh, A. M., (2008), “ Interaction of couple stresses and slip flow on peristaltic transport in uniform and non-uniform channels,†Turkish Journal Engineering and Environmental Science, 32, pp. 117-123.

      [10] Valanis, J., and Sun, C. T., (1969), “ Poiseulle flow of fluid with couple stress with applications to blood flow,†Biorheology, 6, pp. 85-97.

  • Downloads

  • How to Cite

    P. Siva, E., Prakash, `J., Govindarajan, A., & Vidhya, M. (2018). MHD Peristaltic Transport of a Dusty Couple Stress Fluid Through a Symmetric Porous Channel. International Journal of Engineering & Technology, 7(4.10), 306-309. https://doi.org/10.14419/ijet.v7i4.10.20918