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Bio-convection on the nonlinear radiative flow of a Carreau fluid over a moving wedge with suction or injection

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Abstract.

In modern days, the mass transfer rate is challenging to the scientists due to its noticeable significance for industrial as well as engineering applications; owing to this we attempt to study the cross-diffusion effects on the magnetohydrodynamic nonlinear radiative Carreau fluid over a wedge filled with gyro tactic microorganisms. Numerical results are presented graphically as well as in tabular form with the aid of the Runge-Kutta and Newton methods. The effects of pertinent parameters on velocity, temperature, concentration and density of motile organism distributions are presented and discussed for two cases (suction and injection flows). For real-life application we also calculated the local Nusselt and Sherwood numbers. It is observed that thermal and concentration profiles are not uniform in the suction and injection flow cases. It is found that the heat and mass transport phenomenon is high in the injection case, while heat and mass transfer rates are high in the suction flow case.

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References

  1. O.E. Tewfik, E.R.G. Eckert, L.S. Jurewicz, AIAA J. 1, 1537 (1963)

    Article  ADS  Google Scholar 

  2. P.L.G. Ybarra, M.G. Velarde, Geophys. Astrophys. Fluid Dyn. 13, 83 (1979)

    Article  ADS  Google Scholar 

  3. R.J. Hartranft, G.C. Sih, Int. J. Eng. Sci. 18, 1375 (1980)

    Article  Google Scholar 

  4. P. Garcia-Ybarra, C. Nicoli, P. Clavin, Combust. Sci. Technol. 42, 87 (1984)

    Article  Google Scholar 

  5. R. Vogelsang, C. Hoheisel, J. Chem. Phys. 89, 1588 (1988)

    Article  ADS  Google Scholar 

  6. A. Postelnicu, Int. J. Heat Mass Transfer 47, 1467 (2004)

    Article  Google Scholar 

  7. A. Ishak, R. Nazar, I. Pop, J. Appl. Math. Comput. 25, 67 (2007)

    Article  MathSciNet  Google Scholar 

  8. C-Y. Cheng, Int. Commun. Heat Mass Transfer 36, 1020 (2009)

    Article  Google Scholar 

  9. T. Hayat, S.A. Shehzad, A. Alsaedi, Appl. Math. Mech. 33, 1301 (2012)

    Article  MathSciNet  Google Scholar 

  10. D. Srinivasacharya, G. Swamy Reddy, Theor. Appl. Mech. 40, 525 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  11. C.S.K. Raju, N. Sandeep, J. Mol. Liq. 215, 115 (2016)

    Article  Google Scholar 

  12. J. Harris, Rheology and Non-Newtonian Flow (Longman, 1977)

  13. R.B. Bird, C.F. Curtiss, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, Vol. 2: Kinetic Theory, 2nd edition (Wiley, 1987)

  14. N. Afzal, Appl. Math. Comput. 217, 2724 (2010)

    MathSciNet  Google Scholar 

  15. T. Hayat, M. Hussain, S. Nadeem, S. Mesloub, Comp. Fluids 49, 22 (2011)

    Article  MathSciNet  Google Scholar 

  16. W.A. Khan, I. Pop, Math. Probl. Eng. 2013, 637285 (2013)

    MathSciNet  Google Scholar 

  17. S. Mukhopadhyay, I.C. Mondal, A.J. Chamkha, Heat Transfer Asian Res. 42, 665 (2013)

    Article  Google Scholar 

  18. I.L. Animasaun, C.S.K. Raju, N. Sandeep, Alex. Eng. J. 55, 1595 (2016)

    Article  Google Scholar 

  19. C.S.K. Raju, N. Sandeep, Alex. Eng. J. 55, 1115 (2016)

    Article  Google Scholar 

  20. B.L. Kuo, Int. J. Heat Mass Transfer 48, 5036 (2005)

    Article  Google Scholar 

  21. K.A. Yin, Int. Commun. Heat Mass Transfer 26, 819 (1999)

    Article  Google Scholar 

  22. D.C. Guell, H. Brenner, R.B. Frankel, H. Hartman, J. Theor. Biol. 135, 525 (1988)

    Article  Google Scholar 

  23. A.J. Hillesdon, T.J. Pedley, J.O. Kessler, Bull. Math. Biol. 57, 299 (1995)

    Article  Google Scholar 

  24. T. Ishikawa, T.J. Pedley, J. Fluid Mech. 588, 437 (2007)

    ADS  MathSciNet  Google Scholar 

  25. V. Mehandia, P.R. Nott, J. Fluid Mech. 595, 239 (2008)

    Article  ADS  Google Scholar 

  26. A.V. Kuznetsov, Int. Commun. Heat Mass Transfer 38, 548 (2011)

    Article  Google Scholar 

  27. C.S.K. Raju, N. Sandeep, Int. J. Eng. Res. Africa 20, 161 (2015)

    Article  Google Scholar 

  28. S. Nadeem, C. Lee, J. Braz. Soc. Mech. Sci. Eng. 38, 443 (2016)

    Article  Google Scholar 

  29. S.T. Hussain, Z.H. Khan, S. Nadeem, J. Mol. Liq. 214, 136 (2016)

    Article  Google Scholar 

  30. N. Akbar, Z. Khan, S. Nadeem, W. Khan, Int. J. Numer. Methods Heat Fluid Flow 26, 108 (2016)

    Article  MathSciNet  Google Scholar 

  31. C.S.K. Raju, N. Sandeep, Eur. Phys. J. Plus 131, 267 (2016)

    Article  Google Scholar 

  32. S.T Hussain, S. Nadeem, M. Qasim, Adv. Appl. Math. Mech. 8, 499 (2016)

    Article  MathSciNet  Google Scholar 

  33. S. Nadeem, A.U. Khan, S. Saleem, Eur. Phys. J. Plus 131, 261 (2016)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, VIT University, 632014, Vellore, India

    C. S. K. Raju

  2. Department of Mathematics, GITAM University, 530045, Vishakhapatnam, India

    S. M. Ibrahim

  3. Department of Mathematics, Hindustan College of Arts & Science, 641028, Coimbatore, India

    S. Anuradha

  4. Department of S&H, Sri Shakthi Institute of Engineering & Technology, Coimbatore, India

    P. Priyadharshini

Authors
  1. C. S. K. Raju
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  2. S. M. Ibrahim
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  3. S. Anuradha
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  4. P. Priyadharshini
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Correspondence to C. S. K. Raju.

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Raju, C.S.K., Ibrahim, S.M., Anuradha, S. et al. Bio-convection on the nonlinear radiative flow of a Carreau fluid over a moving wedge with suction or injection. Eur. Phys. J. Plus 131, 409 (2016). https://doi.org/10.1140/epjp/i2016-16409-7

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  • DOI: https://doi.org/10.1140/epjp/i2016-16409-7

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