THERMAL SCIENCE

International Scientific Journal

NONLINEAR PERISTALTIC FLOW OF WALTER'S B FLUID IN AN ASYMMETRIC CHANNEL WITH HEAT TRANSFER AND CHEMICAL REACTIONS

ABSTRACT
In this paper, effects of heat and mass transfer on peristaltic transport of Walter's B fluid in an asymmetric channel are investigated. The governing equations are solved using regular perturbation method by taking wave number as a small parameter. Expressions for the stream function, temperature distribution, heat transfer coefficient, and mass concentration are presented in explicit form. Solutions are analyzed graphically for different values of arising parameters such as viscoelastic parameter, Prandtl, Eckert, Soret, Schmidt and Reynolds number. It has been found that these parameters considerably affect the considered flow characteristics. Results show that with an increase in Eckert and Prandtl number temperature and heat transfer coefficient increase while mass concentration decreases. Further, Mass concentration also decreases with increasing Soret and Schmidt number.
KEYWORDS
PAPER SUBMITTED: 2011-09-21
PAPER REVISED: 2012-05-06
PAPER ACCEPTED: 2012-05-04
DOI REFERENCE: https://doi.org/10.2298/TSCI110921096M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2014, VOLUME 18, ISSUE Issue 4, PAGES [1095 - 1107]
REFERENCES
  1. Shapiro, A. H., Jaffrin, M. Y., Weinberg, S. L., Peristaltic pumping with long wavelength at low Reynolds number, J. Fluid Mech., 37 (1969), pp. 799-825
  2. Beard, D. W., Walters, K., Elastico-viscous boundary-layer flows. Part I. Two-dimensional flow near a stagnation point, Proc. Camb. Phil. Soc., 60 (1964), pp. 667-674
  3. Nandeppanavar, M. M., Abel, M. S., Tawade, J., Heat transfer in a Walter's B fluid over an impermeable stretching sheet with non-uniform heat source/sink and elastic deformation, Commun. Nonlinear Sci. Numer. Simulat., 15 (2010), pp. 1791-1802
  4. Joneidi, A. A., Domairry, G., Babaelahi, M., Homotopy analysis method to Walter's B fluid in a vertical channel with porous wall. Meccanica,45 (2010), pp. 857-868
  5. Gupta, U., Aggarwal, P., Thermal instability of compressible Walter' (Model B) fluid in the presence of hall currents and suspended particles, Thermal Science, 15 (2011), pp. 487-500
  6. Nadeem, S., Akbar, N. S., Peristaltic flow of Walter's B fluid in a uniform inclined tube, J. Biorheol., 24 (2010), pp. 22-28
  7. Mehmood, O. U., Shafie, S., Mustapha, N., Peristaltic transport of Walter's B fluid in an asymmetric channel, Int. J. Appl. Math. Mech., 7 (2011), pp. 1-19
  8. Tripathi, D., Gupta, P. K., Das, S., Influence of slip condition on peristaltic transport of a viscoelastic fluid with fractional Burger's model, Thermal Science, 15 (2011), pp. 501-515
  9. Tripathi, D., Peristaltic flow of a fractional second grade fluid through a cylindrical tube, Thermal Science, 15 (2011), pp. S167-S173
  10. Vries, K. de., Lyons, E. A., Ballard, G., Levi, C. S., Lindsay, D. J., Contractions of the inner third of the myometrium, Am. J. Obstet. Gynecol., 162 (1990), pp. 679-682
  11. Eytan, O., Elad, D., Analysis of intra-uterine fluid motion induced by uterine contractions, Bull. Math. Biol., 61 (1999), pp. 221-238
  12. Dursunkaya, Z., Worek, W. M., Diffusion-thermo and thermal-diffusion effects in transient and steady natural convection from vertical surface, Int. J. Heat Mass Transf., 35 (1992), pp. 2060-2065
  13. Postelnicu, A., Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects, Int. J. Heat Mass Transf., 47 (2004), pp. 1467-1472
  14. Ogulu, A., Effect of heat generation on low Reynolds number fluid and mass transport in a single lymphatic blood vessel with uniform magnetic field, Int. Commun. Heat Mass Transf., 33 (2006), pp. 790-799
  15. Vajravelu, K., Radhakrishnamacharya, G., Radhakrishnamurty, V., Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation, Int. J. Non Linear Mech.,42 (2007), pp. 754-759
  16. Srinivas, S., Kothandapani, M., Peristaltic transport in an asymmetric channel with heat transfer-A note, Int. Commun. Heat Mass Transf., 35 (2008), pp. 514-522
  17. Bég, O. A., Bakier, A. Y., Prasad, V. R., Numerical study of free convection magnetohydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects, Comput. Mater. Sci., 46 (2009), pp. 57-65
  18. Bég, O. A., Prasad, V. R., Vasu, B., Reddy, N. B., Li, Q., Bhargava, R., Free convection heat and mass transfer from an isothermal sphere to a micropolar regime with Soret/Dufour effects, Int. J. Heat Mass Transf., 54 (2011), pp. 9-18
  19. Srinivas, S., Muthuraj, R., Sakina, J., A note on the influence of heat and mass transfer on a peristaltic flow of a viscous fluid in a vertical asymmetric channel with wall slip, Chem. Ind. Chem. Eng. Quart., x (2012), pp. 28-28 DOI:10.2298/CICEQ111213028S (In press)
  20. Muthuraj, R., Srinivas, S., Mixed convective heat and mass transfer in a vertical wavy channel with travelling thermal waves with porous medium, Comput. Math. Appl., 59 (2010), pp. 3516-3528
  21. Srinivas, S., Gayathri, R., Kothandapani, M., Mixed convective heat and mass transfer in an asymmetric channel with peristalsis, Commun. Nonlinear Sci. Numer. Simulat., 16 (2011), pp. 1845-1862
  22. Srinivas, S., Muthuraj, R., Effects of chemical reaction and space porosity on MHD mixed convective flow in a vertical asymmetric channel with peristalsis, Math. Comput. Model., 54 (2011), pp. 1213-1227
  23. Srinivas, S., Reddy, A. S., Ramamohan, T. R., A study on thermal-diffusion and diffusion-thermo effects in a two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability, Int. J. Heat Mass Transf., 55 (2012), pp. 3008-3020
  24. Eldabe, N. T. M., El-Sayed, M. F., Ghaly, A. Y., Sayed, H. M., Mixed convective heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity, Arch. Appl. Mech., 78 (2008), pp. 599-624
  25. Hayat, T., Mehmood, O. U., Slip effects on MHD flow of third order fluid in a planar channel, Commun. Nonlinear Sci. Numer. Simulat.,16 (2011), pp. 1363-1377
  26. Hayat, T., Hina, S., The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer, Nonlinear Anal. Real World Appl., 11 (2010), pp. 3155-3269
  27. Akbar, N. S., Nadeem, S., Hayat, T., Hendi, A. A., Effects of heat and mass transfer on the peristaltic flow of hyperbolic tangent fluid in an annulus, Int. J. Heat Mass Transf. 54 (2011), pp. 4360-4369
  28. Nadeem, S., Akbar, N. S., Influence of heat and mass transfer on the peristaltic flow of a Johnson Segalman fluid in a vertical asymmetric channel with induced MHD, J. Taiwan Inst. Chem. Eng., 42 (2011), pp.58-66
  29. Hayat, T., Hina, S., Effects of heat and mass transfer on peristaltic flow of Williamson fluid in a non-uniform channel with slip conditions, Int. J. Numer. Meth. Fluids, 67 (2011), pp. 1590-1604
  30. Mishra, M., and Rao, A. R., Peristaltic flow of Newtonian fluid in an asymmetric channel, Zeit. Ang. Math. Phys., 54 (2003), pp. 532-550

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