Title: Slip Impact on Diffusion of a Solute in Creeping Sinusoidal Motion of a Newtonian Fluid with Wall Features
Author(s): Mallinath Dhange, Gurunath Sankad
Pages: 659-673
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.

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.

Full Text: PDF

 

References


  1. T. W. Latham, Fluid motions in a peristaltic pump, Masters thesis, Massachusetts Institute of Technology, Cambrige, 1966. Google Scholar

  2. Y. C. Fung and C. S. Yih, Peristaltic transport, ASME Transactions: J. Appl. Mech. 35(4)(1968), 669-675. Google Scholar

  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. Google Scholar

  4. D. Takagi and N. J. Balmforth, Peristaltic pumping of viscous fluid in an elastic tube, J. Fluid Mech. 672(2011), 196-218. Google Scholar

  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. Google Scholar

  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. Google Scholar

  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. Google Scholar

  8. G. I. Taylor, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Royal Soc. Lond. 219(A)(1953), 186-203. Google Scholar

  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. Google Scholar

  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. Google Scholar

  11. P. Chandra and R. P. Agarwal, Dispersion in simple microwfluid flows, Int. J. Eng. Sci. 21(1983), 431-442. Google Scholar

  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. Google Scholar

  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. Google Scholar

  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. Google Scholar

  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. Google Scholar

  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. Google Scholar

  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. Google Scholar

  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. Google Scholar

  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. Google Scholar

  20. G. S. Beaver and D. D. Joseph, Boundary conditions at a naturally permeable wall, J. Fluid Mech. 30(1967), 197-207. Google Scholar

  21. P. G. Saffman, On the boundary conditions at the surface of a porous medium, Stud. Appl. Math. 1(1971), 93-101. Google Scholar

  22. B. S. Bhatt and N. C. Sacheti, On the analogy in slip flows, Indian J. Pure Appl. Math. 10(1979), 303-306. Google Scholar