DOI QR코드

DOI QR Code

Bionic Study of Variable Viscosity on MHD Peristaltic Flow of Pseudoplastic Fluid in an Asymmetric Channel

  • Khan, Ambreen A. (Department of Mathematics & Statistics, FBAS, IIUI) ;
  • Muhammad, Saima (Department of Mathematics & Statistics, FBAS, IIUI) ;
  • Ellahi, R. (Department of Mathematics & Statistics, FBAS, IIUI) ;
  • Zia, Q.M. Zaigham (Department of Mathematics, COMSATS Institute of Information Technology Chak Shazad Islamabad)
  • Received : 2016.02.07
  • Accepted : 2016.05.09
  • Published : 2016.06.30

Abstract

In this paper, the peristaltic flow of Psedoplastic fluid with variable viscosity in an asymmetric channel is examined. The bionic effects by means of magnetohydrodynamics (MHD) are taken into account. The assumptions of long wave length and low Reynolds number are taken into account. The basic equations governing the flow are first reduced to a set of ordinary differential equation by using appropriate transformation for variables and then solve by using perturbation method. The effect of physical parameters on the pressure rise, velocity and pressure gradient are illustrated graphically. The trapping phenomenon is analyzed through stream lines. A suitable comparison has also been made as a limiting case of the considered problem.

Keywords

Peristaltic flow;Pseudoplastic fluid;variable viscosity;MHD;asymmetric channel;analytical solutions

References

  1. N. S. Akbar, Zeitschrift fur Naturforschung A 70, 745 (2015).
  2. R. Ellahi, A. Riaz, and S. Nadeem, Journal of Mechanics in Medicine and Biology 14, 1450002 (2014). https://doi.org/10.1142/S021951941450002X
  3. A Riaz, S. Nadeem, R. Ellahi, and A. Zeeshan, Applied Bionics and Biomechanics 11, 81 (2014). https://doi.org/10.1155/2014/901313
  4. N. S. Akbar, Applicable Analysis 94, 1420 (2015). https://doi.org/10.1080/00036811.2014.933474
  5. N. S. Akbar, J. Comput. Theor. Nanos. 12, 1546 (2015). https://doi.org/10.1166/jctn.2015.3926
  6. N. S. Akbar, J. Comput. Theor. Nanos. 12, 1553 (2015). https://doi.org/10.1166/jctn.2015.3927
  7. S. Nadeem and Noreen Sher Akbar, Computer Methods in Biomechanics and Biomedical Engineering 14, 987 (2011). https://doi.org/10.1080/10255842.2010.503960
  8. S. Srinivas and M. Kothandapani, International Commun. in Heat and Mass Transfer. 20, 514 (2008).
  9. S. Srinivas and R. Gayathri, Appl. Math. Comput. 215, 185 (2009). https://doi.org/10.1016/j.amc.2009.04.067
  10. Kh. S. Mekheimer, S. Z. A. Husseny, and Y. Abd Elmaboud, Numer. Methods Partial Differ. Equat. 26, 747 (2010).
  11. V. K. Sud and G. S. Sekhon, Mishra, Bull. Math. Biol. 39, 385 (1977). https://doi.org/10.1007/BF02462917
  12. A. Yldrm and S. A. Sezer, Mathematical and Computer Modelling 52, 618 (2010). https://doi.org/10.1016/j.mcm.2010.04.007
  13. S. Srinivas and M. Kothandapania, Appl. Math. Comput. 213, 197 (2009). https://doi.org/10.1016/j.amc.2009.02.054
  14. M. Sheikholeslami, M. G. Bandpy, and H. R. Ashorynejad, Physica A: Statistical Mechanics and its Applications 432, 58 (2015). https://doi.org/10.1016/j.physa.2015.03.009
  15. A. Ishak, K. Jafar, R. Nazar, and I. Pop, Physica A: Statistical Mechanics and its Applications 388, 3377 (2009). https://doi.org/10.1016/j.physa.2009.05.026
  16. F. Aman, A. Ishak, and I. Pop, International Communications in Heat and Mass Transfer 47, 68 (2013). https://doi.org/10.1016/j.icheatmasstransfer.2013.06.005
  17. M. I. A. Othman, Mechanics and Mechanical Engineerig 7, 41 (2004).
  18. Y. Abd Elmaboud, Commun. Nonlinear Sci. Num. Sim. 17, 685 (2012). https://doi.org/10.1016/j.cnsns.2011.05.039
  19. Kh.S. Mekheimer, Phys. Lett. A 372, 4271 (2008). https://doi.org/10.1016/j.physleta.2008.03.059
  20. S. Akram and S. Nadeem, J. Magn. Magn. Mater. 328, 11 (2013). https://doi.org/10.1016/j.jmmm.2012.09.052
  21. Kh. S. Mekheimer and Y. A. Elmaboud, Phys. Lett. A 372, 1657 (2008). https://doi.org/10.1016/j.physleta.2007.10.028
  22. A. El. Hakeem, A. El. Naby, El. A. E. M. Misiery, and I. El. Shamy, Appl. Math. Comput. 158, 497 (2004). https://doi.org/10.1016/j.amc.2003.09.008
  23. A. El. Hakeem, A. El. Naby, El. A. E. M. Misiery, and I. El. Shamy, J. Phys. A 36, 8535 (2003). https://doi.org/10.1088/0305-4470/36/31/314
  24. R. Ellahi, Appl. Math. Model 37, 1451 (2013). https://doi.org/10.1016/j.apm.2012.04.004

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