Flow of a Jeffrey Fluid Between Two Long Vertical Thin Plates with Porous Medium

  • Authors

    • S. Sreenadh
    • B. Govindarajulu
    • A. N.S. Srinivas
    • R. Nageshwar Rao
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.27919
  • Free convection, Heat transfer, Vertical plates, Jeffrey parameter.

  • Abstract

    The present study investigates fully developed free - convection Jeffrey fluid flow between two vertical plates with porous medium. The vertical plates are moving with same velocity but in opposite directions. The coupled nonlinear governing equations are solved by using the linearization technique. The solutions for velocity distribution, temperature distribution, skin friction and rate of heat transfer is obtained in the presence of porous medium by Iterative procedure.  Shooting technique with Runge - Kutta method of order four is proposed to compare the numerical results for velocity and temperature distribution. The numerical results obtained by both methods are compared and presented graphically. It is observed that an increase in the permeability parameter causes decrease in the fluid velocity and an increase in the Jeffrey fluid parameter causes an enhancement in the fluid velocity. The significance of various pertinent parameters like Grashof number, Prandtl number, Eckert number and the plate velocity are explained through graphs.

     

     

  • References

    1. [1] Ostrach, S., Tech. Notes, Natn. Advis. Comm. Aeronaut., Wash., 2863, (1952).

      [2] F.J.Suriano, K.T. Yang and J.A. Donlon. “Laminar free convection along a vertical plate at extremely small Grashof numbersâ€. International Journal of Heat and Mass Transfer, Vol. 8, (1965), pp.815-831.

      [3] https://doi.org/10.1016/0017-9310 (65)90026-8.

      [4] K. Yamamoto and Z. Yoshida. “Flow through a porous wall with convective accelerationâ€. J. phys. Soct. Japan, Vol. 37(3) (1974), pp.774-779. https://doi.org/10.1143/JPSJ.37.774.

      [5] K. Vajravelu. “Free convection heat transfer between two long, vertical, thin plates moving in opposite directionsâ€. Indian Journal of Technology, Vol. 16 (1978), pp.399-403.

      [6] S. Sreenadh and P.V.Arunachalam. “A model for the study of flow between two permeable bedsâ€, Proceedings of the national symposium on Mathematical modelling. Mehta Research Institute, Allahabad, (1982).

      [7] K.R. Rajagopal, A.S. Gupta. “An exact solution for the flow of a non-Newtonian fluid past an infinite porous plateâ€. Meccanica, Vol. 19(2) (1984), pp.158–160. https://doi.org/10.1007/BF01560464.

      [8] K. Vajravelu, S. Sreenadh and P. Lakshminaryana. “The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratumâ€, Communications in Nonlinear Science and Numerical Simulation, Vol. 16 (8) (2011), pp. 3107-3125. https://doi.org/10.1016/j.cnsns.2010.11.001.

      [9] J.C. Umavathi and M. Shekar. “Unsteady mixed convective flow and heat transfer in a vertical corrugated channel with composite porous mediaâ€. Journal of Engineering Physics and Thermophysics, Vol. 86(4) (2013), pp.754 – 765. https://doi.org/10.1007/s10891-013-0892-1.

      [10] A. Raptis and Kafousias. “Heat transfer in flow through a porous medium bounded by an infinite vertical plate under the action of a magnetic fieldâ€. Int. J. Energy Res., Vol. 6(3) (1982), pp.241-245. https://doi.org/10.1002/er.4440060305.

      [11] A.N.S.Srinvias, S.Sreenadh, B.Govindarajulu and R.H.Reddy. “Free flow of a Jeffrey fluid between two long vertical thin platesâ€. International Journal of Pure and Applied Mathematics, Vol. 103 (4) (2015), pp. 635-652. http://dx.doi.org/10.12732/ijpam.v103i4.4.


  • Downloads

  • How to Cite

    Sreenadh, S., Govindarajulu, B., N.S. Srinivas, A., & Nageshwar Rao, R. (2018). Flow of a Jeffrey Fluid Between Two Long Vertical Thin Plates with Porous Medium. International Journal of Engineering & Technology, 7(4.10), 1059-1069. https://doi.org/10.14419/ijet.v7i4.10.27919

    Received date: 2019-02-25

    Accepted date: 2019-02-25

    Published date: 2018-10-02