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Nonlinear peristaltic flow of a Carreau fluid in the presence of Hall current and convective effect

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Abstract

Influence of Hall current on the peristaltic transport of an incompressible Carreau fluid in a channel is explored. The mathematical analysis is performed in the presence of convective conditions. A stream function formulation is adopted in the mathematical modelling. Long-wavelength and low-Reynolds-number approximations are utilized. The analysis for stream function, temperature, pressure gradient and pressure rise is performed for small Weissenberg number. Detailed analysis via plots is performed for various emerging parameters.

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References

  1. T.W. Latham, Fluid motion in a peristaltic pump, MS Thesis (MIT Cambridge MA, 1966).

  2. Kh.S. Mekheimer, Y. Abd Elmaboud, A.I. Abdellateef, Appl. Bio. Biomech. 10, 19 (2013).

    Google Scholar 

  3. S. Nadeem, E.N. Maraj, Commun. Theor. Phys. 59, 729 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  4. S.K. Pandey, M.K. Chaube, J. Math. Comput. Model. 52, 501 (2010).

    Article  MATH  MathSciNet  Google Scholar 

  5. R. Ellahi, A. Riaz, S. Nadeem, Appl. Nanosci., DOI:10.1007/s13204-013-0255-4 (2013).

  6. Y.A. Cengel, J.M. Cimbala, Fluid mechanics (Fundamental and Applications) (McGraw Hill Int. Edn., 2006).

  7. S. Nadeem, S. Akram, Math. Comput. Model. 52, 107 (2010).

    Article  MATH  MathSciNet  Google Scholar 

  8. N.T. Eldabe, S.M. Elshaboury, A.A. Hasan, M.A. Elogail, Innov. Syst. Des. Eng. 3, 51 (2012).

    Google Scholar 

  9. R. Ellahi, A.A. Khan, M. Usman, J. Porous Media 16, 59 (2013).

    Article  Google Scholar 

  10. Y. Abd elmaboud, Kh.S. Mekheimer, Appl. Math. Model. 35, 2695 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  11. D. Tripathi, Transp. Porous Med. 92, 559 (2012).

    Article  Google Scholar 

  12. M. Mustafa, S. Abbasbandy, S. Hina, T. Hayat, J. Taiwan Inst. Chem. Eng. 45, 308 (2014).

    Article  Google Scholar 

  13. N. Ali, T. Hayat, Appl. Math. Comput. 193, 535 (2007).

    Article  MATH  MathSciNet  Google Scholar 

  14. R. Ellahi, A. Riaz, S. Nadeem, M. Ali, Math. Probl. Eng. 2012, 1 (2012).

    Article  MathSciNet  Google Scholar 

  15. T. Hayat, N. Saleem, N. Ali, Commun. Nonlinear Sci. Numer. Simulat. 15, 2407 (2010).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. C. Fetecau, A. Mahmood, M. Jamil, Commun. Nonlinear Sci. Numer. Simulat. 15, 3931 (2010).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. M.M. Rashidi, A.J. Chamkha, M. Keimanesh, Am. J. Comput. Math. 1, 119 (2011).

    Article  Google Scholar 

  18. M. Mustafa, T. Hayat, S. Obaidat, Int. J. Num. Methods Heat Fluid Flow 23, 945 (2013).

    Article  Google Scholar 

  19. S. Abbasbandy, M.S. Hashemi, I. Hashim, Quaestiones Math. 36, 93 (2013).

    Article  MATH  MathSciNet  Google Scholar 

  20. T. Hayat, A. Qayyum, F. Alsaadi, M. Awais, A.M. Dobaie, Eur. Phys. J. Plus 128, 85 (2013).

    Article  Google Scholar 

  21. M. Awais, T. Hayat, A. Qayyum, A. Alsaedi, Eur. Phys. J. Plus 128, 114 (2013).

    Article  Google Scholar 

  22. V.K. Sud, G.S. Sekhon, R.K. Mishra, Bull. Math. Biol. 39, 385 (1977).

    Article  Google Scholar 

  23. M.S. Reddy, G.S.S. Raju, M.V.S. Reddy, K. Jayalakshmi, Afr. J. Sci. Res. 3, 179 (2011).

    Google Scholar 

  24. R. Ellahi, Appl. Math. Model. 37, 1451 (2013).

    Article  MathSciNet  Google Scholar 

  25. M.M. Rashidi, T. Hayat, E. Erfani, S.A.M. Pour, A.A. Hendi, Commun. Nonlinear Sci. Numer. Simulat. 16, 4303 (2011).

    Article  ADS  MATH  Google Scholar 

  26. M.M. Rashidi, S. Abelman, N.F. Mehr, Int. J. Heat Mass Transfer 62, 515 (2013).

    Article  Google Scholar 

  27. M.M. Rashidi, M. Ali, N.F. Mehr, F. Nazari, Energy 55, 497 (2013).

    Article  Google Scholar 

  28. O. Anwar Bég, M.M. Rashidi, T.A. Bég, M. Asadi, J. Mech. Med. Biol. 12, 1250051 (2012).

    Article  Google Scholar 

  29. T. Hayat, N. Ali, S. Asghar, Phys. Lett. A 363, 397 (2007).

    Article  ADS  MATH  Google Scholar 

  30. S.R. El Koumy, El S.I. Barakat, S.I. Abdelsalam, Transp. Porous. Med. 94, 643 (2012).

    Article  MathSciNet  Google Scholar 

  31. E. Abo-Eldahab, E. Barakat, Kh. Nowar, Math. Probl. Eng. 2012, 840203 (2012).

    Article  MathSciNet  Google Scholar 

  32. T. Hayat, H. Yasmin, M.S. Alhuthali, M.A. Kutbi, J. Mech. 29, 599 (2013).

    Article  Google Scholar 

  33. T. Chinyoka, O.D. Makinde, Math. Comput. Model. 54, 160 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  34. O.D. Makinde, J. Mechan. Sci. Technol. 24, 899 (2010).

    Article  Google Scholar 

  35. M. Mishra, A.R. Rao, Z. Angew. Math. Phys. 54, 532 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  36. N. Ali, T. Hayat, M. Sajid, Biorheology 44, 135 (2007).

    Google Scholar 

  37. A.H. Shapiro, M.Y. Jaffrin, S.L. Weinberg, J. Fluid Mech. 37, 799 (1969).

    Article  ADS  Google Scholar 

  38. A.M. Abd-Alla, S.M. Abo-Dahab, R.D. El-Semiry, Kor. Aust. Rheol. J. 25, 107 (2013).

    Article  Google Scholar 

  39. N. Ali, Y. Wang, T. Hayat, M. Oberlack, Biorheology 45, 611 (2008).

    Google Scholar 

  40. I. Dapra, G. Scarpi, Int. J. Rock Mech. Mining Sci. 44, 271 (2007).

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University 45320, 44000, Islamabad, Pakistan

    T. Hayat, Maryam Iqbal & Humaira Yasmin

  2. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, 21589, Jeddah, Saudi Arabia

    T. Hayat, Fuad Alsaadi & Naif Alotaibi

Authors
  1. T. Hayat
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  2. Maryam Iqbal
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  3. Humaira Yasmin
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  4. Fuad Alsaadi
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  5. Naif Alotaibi
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Correspondence to T. Hayat.

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Hayat, T., Iqbal, M., Yasmin, H. et al. Nonlinear peristaltic flow of a Carreau fluid in the presence of Hall current and convective effect. Eur. Phys. J. Plus 129, 107 (2014). https://doi.org/10.1140/epjp/i2014-14107-2

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  • DOI: https://doi.org/10.1140/epjp/i2014-14107-2

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