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Variable Viscosity Effect on MHD Peristaltic Flow of Pseudoplastic Fluid in a Tapered Asymmetric Channel

Published online by Cambridge University Press:  22 November 2016

T. Hayat ,
R. Iqbal ,
A. Tanveer  and
A. Alsaedi
T. Hayat
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan Nonlinear Analysis and Applied Mathematics Research GroupDepartment of MathematicsKing Abdulaziz UniversityJeddah, Saudi Arabia
R. Iqbal
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan
A. Tanveer*
Affiliation:
Department of MathematicsQuaid-I-Azam UniversityIslamabad, Pakistan
A. Alsaedi
Affiliation:
Nonlinear Analysis and Applied Mathematics Research GroupDepartment of MathematicsKing Abdulaziz UniversityJeddah, Saudi Arabia
*
*Corresponding author ([email protected])
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Abstract

Influence of variable viscosity the peristaltic flow of pseudoplastic fluid in a tapered channel is discussed. The effects of magnetohydrodynamics (MHD) are also studied. Asymmetric channel is considered. The relevant problem is first formulated and then non-dimensionalized. The nonlinear different system subject to lubrication approach is solved. Expressions for pressure gradient, pressure rise and velocity are constructed. Graphs reflecting the variations of sundry parameters on pressure rise and velocity are examined. Trapping and pumping phenomena are also studied.

Keywords

Pseudoplastic fluidTapered asymmetric channelMHDVariable viscosity
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 3 , June 2018 , pp. 363 - 374
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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References

1. Latham, T. W., “Fluid motions in a peristaltic pump,” M.S. Thesis, Massachusetts Institute of Technology, Cambridge, Massachusetts, U.S. (1966).Google Scholar
2. Shapiro, A. H., Jaffrin, M. Y. and Weinberg, S. L., “Peristaltic pumping with long wavelengths at low Reynolds number,” Journal of Fluid Mechanics, 37, pp. 799–825 (1969).CrossRefGoogle Scholar
3. Hayat, T., Abbasi, F. M. and Al-Yami, M., “Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects,” Journal of Molecular Liquids, 194, pp. 93–99 (2014).Google Scholar
4. Riaz, A., Ellahi, R. and Nadeem, S., “Peristaltic transport of Carreau fluid in a compliant rectangular duct,” Alexandria Engineering Journal, 53, pp. 475–484 (2014).CrossRefGoogle Scholar
5. Hayat, T., Tanveer, A., Yasmin, H. and Alsaedi, A., “Effects of convective conditions and chemical reaction on peristaltic flow of Eyring-Powell fluid,” Applied Bionics and Biomechics, 11, pp. 221–233 (2014).CrossRefGoogle Scholar
6. Kothandapani, M. and Prakash, J., “Effect of radiation and magnetic field on peristaltic transport of nanofluids through a porous space in a tapered asymmetric channel,” Journal of Magnetism and Magnetic Materials, 378, pp. 152–163 (2015).Google Scholar
7. Hayat, T., Tanveer, A., Alsaadi, F. and Alotaibi, N. D., “Homogeneous-heterogeneous reaction effects in peristalsis through curved geometry,” AIP Advances, 5, DOI: 10.1063/1.4923396 (2015).Google Scholar
8. Hayat, T., Shafique, M., Tanveer, A. and Alsaedi, A., “Radiative peristaltic flow of Jeffrey nanofluid with slip conditions and Joule heating,” PLoS ONE, 11, DOI: 10.1371/journal.pone.0148002 (2016).Google Scholar
9. Hayat, T., Tanveer, A. and Alsaedi, A., “Mixed convective peristaltic flow of Carreau--Yasuda fluid with thermal deposition and chemical reaction,” International Journal of Heat and Mass Transfer, 96, pp. 474–481 (2016).Google Scholar
10. Srinivas, S. and Pushparaj, V., “Nonlinear peristaltic transport in an inclined asymmetric channel,” Communications in Nonlinear Science and Numerical Simulation, 13, pp. 1782–1795 (2008).CrossRefGoogle Scholar
11. AbdElmaboud, Y. and Mekheimer, Kh. S., “Nonlinear peristaltic transport of a second order fluid through a porous medium,” Applied Mathematical Modeling, 35, pp. 2695–2710 (2011).Google Scholar
12. Hayat, T., Abbasi, F. M., Ahmad, B. and Alsaedi, A., “Peristaltic transport of Carreau-Yasuda fluid in a curved channel with slip effects,” PLoS ONE, 9, DOI: 10.1371/journal.pone.0095070 (2014).CrossRefGoogle Scholar
13. Hayat, T., Yasmin, H., Alhuthali, M. S. and Kutbi, M. A., “Peristaltic flow of a non-Newtonian fluid in an asymmetric channel with convective boundary conditions,” Journal of Mechanics, 29, pp. 599–607 (2013).Google Scholar
14. Ali, N., Sajid, M., Javed, T. and Abbas, Z., “Heat transfer analysis of peristaltic flow in a curved channel,” International Journal of Heat and Mass Transfer, 53, pp. 3319–3325 (2010).Google Scholar
15. Hayat, T., Tanveer, A., Yasmin, H. and Alsaedi, A., “Homogeneous-Heterogeneous Reactions in Peristaltic Flow with Convective Conditions,” PLoS ONE, 9, DOI: 10.1371/journal.pone.0113851 (2014).CrossRefGoogle ScholarPubMed
16. Abbasi, F. M., Hayat, T., Alsaadi, F., Dobai, A. M. and Gao, H., “MHD peristaltic transport of spherical and cylindrical magneto-nanoparticles suspended in water,” AIP Advances, 5, DOI: 10.1063/1.4926368 (2015).Google Scholar
17. Ghasemi, S. E., Vatani, M., Hatami, M. and Ganji, D. D., “Analytical and numerical investigation of nanoparticle effect on peristaltic fluid flow in drug delivery systems,” Journal of Molecular Liquids, 215, pp. 88–97 (2016).Google Scholar
18. Shehzad, S. A., Abbasi, F. M., Hayat, T. and Alsaadi, F., “MHD Mixed Convective Peristaltic Motion of Nanofluid with Joule Heating and Thermophoresis Effects,” PLoS ONE, 9, DOI: 10.1371/journal.pone.0111417 (2014).Google Scholar
19. Sreenadh, S., Komala, K. and Srinivas, A. N. S., “Peristaltic pumping of a power-law fluid in contact with a Jeffrey fluid in an inclined channel with permeable walls,” Ain Shams Engineering Journal, 10, DOI: 10.1016/j.asej.2015.08.019 (2015).Google Scholar
20. Gad, N. S., “Effects of hall currents on peristaltic transport with compliant walls,” Applied Mathematics and Computation, 235, pp. 546–554 (2014).CrossRefGoogle Scholar
21. Sankad, G. C. and Nagathan, P. S., “Influence of the wall properties on the peristaltic transport of a couple stress fluid with slip effect in porous medium,” Procedia Engineering, 727, pp. 862–868 (2015).Google Scholar
22. Ali, N., Sajid, M., Javed, T. and Abbas, Z., “Heat transfer analysis of peristaltic flow in a curved channel,” International Journal of Heat and Mass Transfer, 53, pp. 3319–3325 (2010).CrossRefGoogle Scholar
23. Abd-Alla, A. M., Abo-Dahab, S. M. and El-Shahrany, H.D., “Influence of heat and mass transfer, initial stress and radially varying magnetic field on the peristaltic flow in an annulus with gravity field,” Journal of Magnetism and Magnetic Materials, 363, pp. 166–178 (2014).Google Scholar
24. Hayat, T. and Qasim, M., “Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis,” International Journal of Heat and Mass Transfer, 53, pp. 4780–4788 (2010).Google Scholar
25. Shehzad, S. A., Abbasi, F. M., Hayat, T., Alsaadi, F. and Mousa, G., “Peristalsis in a curved channel with slip condition and radial magnetic field”, International Journal of Heat and Mass Transfer, 91, pp. 562–569 (2015).Google Scholar
26. Hayat, T., Shafique, M., Tanveer, A. and Alsaedi, A., “Hall and ion-slip effects on peristaltic flow of Jeffrey nanofluid with Joule heating,” Journal Magnetism and Magnetic Materials, 407, pp. 51–59 (2016).Google Scholar
27. Ellahi, R., Bhatti, M. M. and Vafai, K., “Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct,” International Journal of Heat and Mass Transfer, 71, pp. 706–719 (2014).Google Scholar
28. Ellahi, R. and Hussain, F., “Simultaneous effects of MHD and partial slip on peristaltic flow of Jeffery fluid in a rectangular duct,” Journal of Magnetism and Magnetic Materials, 393, pp. 284–292 (2015).CrossRefGoogle Scholar
29. Hayat, T., Tanveer, A. and Alsaadi, F., “Simultaneous effects of radial magnetic field and wall properties on peristaltic flow of Carreau-Yasuda fluid in curved flow configuration,” AIP Advances, 5, DOI: 10.1063/1.4939541 (2015).Google Scholar
30. Hayat, T., Tanveer, A., Alsaadi, F. and Mousa, G., “Impact of radial magnetic field on peristalsis in curved channel with convective boundary conditions,” Journal of Magnetism and Magnetics Materials, 403, pp. 47–59 (2016).CrossRefGoogle Scholar
31. Hina, S., Mustafa, M., Hayat, T. and Alotaibid, N. D., “On peristaltic motion of pseudoplastic fluid in a curved channel witth heat/mass transfer and wall properties,” Applied Mathematics and Computation, 263, pp. 378–391 (2015).Google Scholar
32. Ali, N., Hussain, Q., Hayat, T. and Asghar, S., “Slip effects on the peristaltic transport of MHD fluid with variable viscosity,” Physics Letters A, 372, pp. 1477–1489 (2008).Google Scholar
33. Khan, A. A., Ellahi, R. and Usman, M., “The effects of variable viscosity on the peristaltic flow of non-Newtonian fluid through a porous medium in an inclined channel with slip boundary conditions,” Journal of Porous Media, 16, pp. 59–67 (2013).CrossRefGoogle Scholar
34. Hayat, T., Abbasi, F. M., Ahmad, B. and Alsaedsi, A., “MHD mixed convection peristaltic flow with variable viscosity and thermal conductivity,” Sains Malaysiana, 43, pp. 1583–1590 (2014).Google Scholar
35. Sinha, A., Shit, G. C. and Ranjit, N. K., “Peristaltic transport of MHD flow and heat transfer in an asymmetric channel: Effects of variable viscosity, velocity-slip and temperature jump,” Alexandria Engineering Journal, 54, pp. 691–704 (2015).Google Scholar
36. Kothandapani, M., Prakash, J. and Pushparaj, V., “Effects of heat transfer, magnetic field and space porosity on peristaltic flow of a Newtonian fluid in a tapered channel,” Applied Mechanics and Materials, 814, pp. 679–684 (2015).Google Scholar
37. Kothandapani, M. and Prakash, J., “Effects of thermal radiation parameter and magnetic field on the peristaltic motion of Williamson nanofluids in a tapered asymmetric channel,” International Journal of Heat and Mass Transfer, 81, pp. 234–245 (2015).Google Scholar
38. Vajravelu, K., Sreenadh, S. and Saravana, R., “Combined influence of velocity slip, temperature and concentration jump conditions on MHD peristaltic transport of a Carreau fluid in a non-uniform channel,” Applied Mathematics and Computation, 225, pp. 656–676 (2013).CrossRefGoogle Scholar
39. Srivastava, L. M. and Srivastava, V. P., “Peristaltic transport of a power law fluid: applications to the ductus efferentes of the reproductive tract,” Rheologica Acta, 27, pp. 428–433 (1988).Google Scholar
40. Lew, S. H., Fung, Y. C. and Lowenstein, C. B., “Peristaltic carrying and mixing of chime,” Journal of Biomechanics, 4, pp. 297–315 (1971).Google Scholar