Slip Impact on Diffusion of a Solute in Creeping Sinusoidal Motion of a Newtonian Fluid with Wall Features

Article Sidebar

PDF
Cite as:
Mallinath Dhange, Gurunath Sankad, Slip Impact on Diffusion of a Solute in Creeping Sinusoidal Motion of a Newtonian Fluid with Wall Features, Int. J. Anal. Appl., 17 (4) (2019), 659-673.

Main Article Content

Mallinath Dhange, Gurunath Sankad

Abstract

This article is concerned with the effect of slip boundary condition on two-dimensional creeping movement of a Newtonian fluid in the existence of pervious medium with wall features and heterogeneoushomogeneous chemical responses. The objective of this paper is to measure the performance of slip and wall feature constraints through graphs. It is observed that diffusion ascends with an increase in slip and wall constraints. The effective diffusion coefficient has been computed through long wavelength supposition and Taylor's condition for chemical responses.

Article Details

References

  1. T. W. Latham, Fluid motions in a peristaltic pump, Masters thesis, Massachusetts Institute of Technology, Cambrige, 1966.
  2. Y. C. Fung and C. S. Yih, Peristaltic transport, ASME Transactions: J. Appl. Mech. 35(4)(1968), 669-675.
  3. M. Y. Jaffrin, A. H. Shapiro and S. L. Weinberg, Peristaltic pumping with long wavelengths at low Reynolds number, J. Fluid Mech. 37(1969), 799-825.
  4. D. Takagi and N. J. Balmforth, Peristaltic pumping of viscous fluid in an elastic tube, J. Fluid Mech. 672(2011), 196-218.
  5. T. K. Mittra and N. S. Prasad, On the influence of wall properties and poiseuille flow in Peristalsis, J. Biomechan. 6(1973), 681-693.
  6. A. V. Ramana Kumari and G. Radhakrishnamacharya, Effect of slip and magnetic field on peristaltic flow in an inclined channel with wall effects, Int. J. Biomath. 5(6)(2012), 1250015.
  7. G. C. Sankad and G. Radhakrishnamacharya, Effect of magnetic field on peristaltic motion of micropolar fluid with wall effects, J. Appl. Math. Fluid Mech. 1(2009), 37-50.
  8. G. I. Taylor, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Royal Soc. Lond. 219(A)(1953), 186-203.
  9. D. Padma and V. V. RamanaRao, Effect of homogeneous and heterogeneous reactions on the dispersion of a solute in laminar flow between two parallel porous plates, Indian J. Technol. 14(1976), 410-412.
  10. P. S. Gupta and A. S. Gupta, Effect of homogeneous and heterogeneous reactions on the dispersion of a solute in the laminar flow between two plates, Proc. Royal Soc. Lond. 330(A)(1972), 59-63.
  11. P. Chandra and R. P. Agarwal, Dispersion in simple microwfluid flows, Int. J. Eng. Sci. 21(1983), 431-442.
  12. D. Philip and P. Chandra, Effect of heterogeneous and homogeneous reactions on the dispersion of a solute in simple microwfluid, Indian J. Pure Appl. Math. 24(1993), 551-561.
  13. H. Alemayehu and G. Radhakrishnamacharya, Dispersion of solute in peristaltic motion of a couple stress fluid through a porous medium, Tamkang J. Math. 43(4)(2012), 541-555.
  14. G. Ravikiran and G. Radhakrishnamacharya, Effect of homogeneous and heterogeneous chemical reactions on peristaltic transport of a Jeffrey fluid through a porous medium with slip condition, J. Appl. Fluid Mech. 8(3)(2015), 521-528.
  15. A. M. Sobh, Effect of homogeneous and heterogeneous reactions on the dispersion of a solute in MHD Newtonian fluid in an asymmetric channel with peristalsis, Br. J. Math. Computer Sci. 3(4)(2013), 664-679.
  16. K. N. Mehta and M. C. Tiwari, Dispersion in presence of slip and chemical reactions in porous wall tube flow, Defence Sci. J. 38(1988), 1-11.
  17. G. Sankad and M. Dhange, Peristaltic pumping of an incompressible viscous fluid in a porous medium with wall effects and chemical reactions, Alexandria Eng. J. 55(2016), 2015-2021.
  18. D. Pal, Effect of chemical reaction on the dispersion of a solute in a porous medium, Appl. Math. Model. 23(7)(1999), 557-566.
  19. J. C. Misra and S. K. Ghosh, A mathematical model for the study of blood flow through a channel with permeable walls, Acta Mech. 122(1997), 137-153.
  20. G. S. Beaver and D. D. Joseph, Boundary conditions at a naturally permeable wall, J. Fluid Mech. 30(1967), 197-207.
  21. P. G. Saffman, On the boundary conditions at the surface of a porous medium, Stud. Appl. Math. 1(1971), 93-101.
  22. B. S. Bhatt and N. C. Sacheti, On the analogy in slip flows, Indian J. Pure Appl. Math. 10(1979), 303-306.