Advertisement

Theoretical investigation of the doubly stratified flow of an Eyring-Powell nanomaterial via heat generation/absorption

  • M. Ijaz Khan
  • M. Waqas
  • A. Alsaedi
  • T. Hayat
  • M. Imran Khan
Open Access
Regular Article

Abstract.

The mixed convective flow of an Eyring-Powell nanomaterial in a doubly stratified medium is addressed in this paper. The stretching surface has varying thickness. The nanofluid model given by Buongiorno is utilized in the formulation of energy and concentration expressions. Heat generation is also retained. Ordinary differential systems are obtained by utilizing the transformations procedure. Homotopy series solutions containing exponentially functions are developed. Significant characteristics of influential variables for velocity, temperature, nanoparticle concentration, skin friction coefficient and Nusselt and Sherwood numbers are reported through graphs and tables. It is found that stratification phenomenon leads to a decay in temperature and nanoparticle concentration.

References

  1. 1.
    S. Krishnamurthy, P. Bhattacharya, P.E. Phelan, R.S. Prahser, Nano Lett. 6, 419 (2006)ADSCrossRefGoogle Scholar
  2. 2.
    S. Ashrafmansouri, M.N. Esfahany, Int. J. Thermal Sci. 82, 84 (2014)CrossRefGoogle Scholar
  3. 3.
    S.U.S. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, in The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, FED 231/MD, 66 (ASME, 1995) pp. 99--105Google Scholar
  4. 4.
    J. Buongiorno, ASME J. Heat Transf. 128, 240 (2006)CrossRefGoogle Scholar
  5. 5.
    R. Ellahi, S.U. Rahman, S. Nadeem, Phys. Lett. A 378, 2973 (2014)ADSCrossRefGoogle Scholar
  6. 6.
    Y. Lin, L. Zheng, G. Chen, Powder Tech. 274, 324 (2015)CrossRefGoogle Scholar
  7. 7.
    M. Sheikholeslami, S. Lohrasbi, D.D. Ganji, J. Taiwan Inst. Chem. Eng. 67, 115 (2016)CrossRefGoogle Scholar
  8. 8.
    M. Waqas, M.I. Khan, T. Hayat, A. Alsaedi, Computer Methods Appl. Mech. Eng. 324, 640 (2017)ADSCrossRefGoogle Scholar
  9. 9.
    M. Khan, M. Irfan, W.A. Khan, Int. J. Mech. Sci. 130, 375 (2017)CrossRefGoogle Scholar
  10. 10.
    S. Farooq, T. Hayat, A. Alsaedi, B. Ahmad, Int. J. Heat Mass Transfer 112, 521 (2017)CrossRefGoogle Scholar
  11. 11.
    D. Srinivasacharya, O. Surender, Int. J. Eng. Math. 2014, 126218 (2014)CrossRefGoogle Scholar
  12. 12.
    S.R. Mishra, P.K. Pattnaik, G.C. Dash, Alex. Eng. J. 54, 681 (2015)CrossRefGoogle Scholar
  13. 13.
    T. Hayat, M. Waqas, M.I. Khan, A. Alsaedi, Int. J. Heat Mass Transfer 102, 1123 (2016)CrossRefGoogle Scholar
  14. 14.
    F.M. Abbasi, S.A. Shehzad, T. Hayat, A. Alsaedi, J. Hydrodyn. Ser. B 28, 840 (2016)CrossRefGoogle Scholar
  15. 15.
    P. Besthapu, R.U. Haq, S. Bandari, Q.M. Al-Mdallal, J. Taiwan Instit. Chem. Eng. 71, 307 (2017)CrossRefGoogle Scholar
  16. 16.
    M. Waqas, M.I. Khan, T. Hayat, A. Alsaedi, Results Phys. (2017)  https://doi.org/10.1016/j.rinp.2017.06.030
  17. 17.
    C. Jiao, L. Zheng, Y. Lin, L. Ma, G. Chen, Int. J. Heat Mass Transfer 92, 700 (2016)CrossRefGoogle Scholar
  18. 18.
    K.N. Seetharamu, V. Leela, N. Kotloni, Int. J. Heat Mass Transfer 112, 201 (2017)CrossRefGoogle Scholar
  19. 19.
    M.I. Khan, T. Hayat, M. Waqas, M.I. Khan, A. Alsaedi, J. Mol. Liq. 233, 465 (2017)CrossRefGoogle Scholar
  20. 20.
    M. Waqas, M.I. Khan, T. Hayat, A. Alsaedi, M.I. Khan, Eur. Phys. J. Plus 132, 280 (2017)CrossRefGoogle Scholar
  21. 21.
    L.J. Crane, Z. Angew, Z. Angew. Math. Phys. 21, 645 (1970)CrossRefGoogle Scholar
  22. 22.
    T. Hayat, M.S. Anwar, M. Farooq, A. Alsaedi, Int. J. Nonlinear Sci. Numer. Simul. 15, 365 (2014)MathSciNetGoogle Scholar
  23. 23.
    M. Waqas, A. Alsaedi, S.A. Shehzad, T. Hayat, S. Asghar, J. Braz. Soc. Mech. Sci. Eng. 39, 3005 (2017)CrossRefGoogle Scholar
  24. 24.
    T. Hayat, M.I. Khan, M. Waqas, A. Alsaedi, T. Yasmeen, Chin. J. Chem. Eng. 25, 257 (2017)CrossRefGoogle Scholar
  25. 25.
    M.I. Khan, T. Hayat, M. Waqas, A. Alsaedi, J. Mol. Liq. 230, 143 (2017)CrossRefGoogle Scholar
  26. 26.
    I. Shufrin, M. Eisenberger, Thin-Walled Struct. 43, 189 (2005)CrossRefGoogle Scholar
  27. 27.
    T. Fang, J. Zhang, Y. Zhong, Appl. Math. Comput. 218, 7241 (2012)MathSciNetGoogle Scholar
  28. 28.
    L. Ahmad, M. Khan, W.A. Khan, Eur. Phys. J. Plus 132, 373 (2017)CrossRefGoogle Scholar
  29. 29.
    M.I. Khan, M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, Int. Commun. Heat Mass Transf. 86, 231 (2017)CrossRefGoogle Scholar
  30. 30.
    T. Hayat, F. Shah, A. Alsaedi, Z. Hussain, Results Phys. (2017)  https://doi.org/10.1016/j.rinp.2017.06.045
  31. 31.
    S.J. Liao, Homotopic Analysis Method in Nonlinear Differential Equations (Springer, Heidelberg, 2012)Google Scholar
  32. 32.
    M. Turkyilmazoglu, Int. J. Thermal Sci. 50, 831 (2011)CrossRefGoogle Scholar
  33. 33.
    M. Waqas, M. Farooq, M.I. Khan, A. Alsaedi, T. Hayat, T. Yasmeen, Int. J. Heat Mass Transfer 102, 766 (2016)CrossRefGoogle Scholar
  34. 34.
    S. Qayyum, T. Hayat, A. Alsaedi, Results Phys. (2017)  https://doi.org/10.1016/j.rinp.2017.07.043
  35. 35.
    T. Hayat, M. Zubair, M. Waqas, A. Alsaedi, M. Ayub, Results Phys. 7, 99 (2017)ADSCrossRefGoogle Scholar
  36. 36.
    T. Hayat, M.I. Khan, M. Farooq, A. Alsaedi, M. Waqas, T. Yasmeen, Int. J. Heat Mass Transfer 99, 702 (2016)CrossRefGoogle Scholar
  37. 37.
    T. Hayat, M.I. Khan, M. Farooq, T. Yasmeen, A. Alsaedi, J. Mol. Liq. 220, 49 (2016)CrossRefGoogle Scholar
  38. 38.
    T. Hayat, A. Naseem, M. Farooq, A. Alsaedi, Eur. Phys. J. Plus 128, 158 (2013)CrossRefGoogle Scholar
  39. 39.
    M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, J. Colloid Interface Sci. 498, 85 (2017)ADSCrossRefGoogle Scholar
  40. 40.
    M. Farooq, Q. Anzar, T. Hayat, M.I. Khan, A. Anjum, Results Phys. 7, 3078 (2017)CrossRefGoogle Scholar
  41. 41.
    T. Hayat, S. Qayyum, M.I. Khan, A. Alsaedi, Int. J. Hydrogen Energy,  https://doi.org/10.1016/j.ijhydene.2017.09.124 (2017)
  42. 42.
    N. Muhammad, S. Nadeem, Eur. Phys. J. Plus 132, 377 (2017)CrossRefGoogle Scholar
  43. 43.
    M.I. Khan, M. Waqas, T. Hayat, M.I. Khan, A. Alsaedi, Int. J. Mech. Sci. 132, 426 (2017)CrossRefGoogle Scholar
  44. 44.
    T. Hayat, F. Shah, A. Alsaedi, M.I. Khan, J. Theor. Comput. Chem. 16, 1750045 (2017)CrossRefGoogle Scholar
  45. 45.
    M. Waqas, T. Hayat, S.A. Shehzad, A. Alsaedi, Physica B (2017)  https://doi.org/10.1016/j.physb.2017.09.128

Copyright information

© The Author(s) 2017

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  • M. Ijaz Khan
    • 1
  • M. Waqas
    • 1
  • A. Alsaedi
    • 2
  • T. Hayat
    • 1
    • 2
  • M. Imran Khan
    • 3
  1. 1.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan
  2. 2.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Heriot Watt UniversityEdinburgh CampusEdinburghUK

Personalised recommendations