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Pramana

, 93:54 | Cite as

Entropy generation optimisation in the nanofluid flow of a second grade fluid with nonlinear thermal radiation

  • Tasawar Hayat
  • Mehreen Kanwal
  • Sumaira QayyumEmail author
  • M Ijaz Khan
  • Ahmed Alsaedi
Article

Abstract

The flow of a second grade fluid by a rotating stretched disk is considered. Brownian motion and thermophoresis characterise the nanofluid. Entropy generation in the presence of heat generation / absorption, Joule heating and nonlinear thermal radiation is discussed. Homotopic convergent solutions are developed. The behaviour of velocities (radial, axial, tangential), temperature, entropy generation, Bejan number, Nusselt number, skin friction and concentration is evaluated. The radial, axial and tangential velocities increase for larger viscoelastic parameters while the opposite trend is noted for temperature. Concentration decreases when Schmidt number and Brownian diffusion increase. Entropy generation increases when the Bejan number increase while the opposite is true for the Brinkman number and the magnetic parameter.

Keywords

Buongiorno model entropy generation heat generation / absorption Joule heating nonlinear thermal radiation second grade fluid 

PACS Nos

47.10.A 47.15.G 47.27.Ak 

Notes

Acknowledgements

The authors are grateful to the Higher Education Commission (HEC) of Pakistan for financial support to this work under Project No. 20-3038 / NRPU / R&D / HEC / 13.

References

  1. 1.
    S U S Choi, ASME Fed. 66, 99 (1995)Google Scholar
  2. 2.
    M Farooq, M I Khan, M Waqas, T Hayat, A Alsaedi and M I Khan, J. Mol. Liq. 221, 1097 (2016)CrossRefGoogle Scholar
  3. 3.
    M Sajid, S A Iqbal, M Naveed and Z Abbas, J. Mol. Liq. 233, 115 (2017)CrossRefGoogle Scholar
  4. 4.
    K Sreelakshmi and G Sarojamma, Trans. A. Razm. Math. Int. 172, 606 (2018)CrossRefGoogle Scholar
  5. 5.
    S Saranya, P Ragupathi, B Ganga, R P Sharma and A K A Hakeem, Adv. Powder Technol. 29, 1977 (2018)CrossRefGoogle Scholar
  6. 6.
    P Sreedevi, P S Reddy and A J Chamkha, Powder Technol. 315, 194 (2017)CrossRefGoogle Scholar
  7. 7.
    S Qayyum, M I Khan, T Hayat and A Alsaedi, Results Phys. 7, 1907 (2017)ADSCrossRefGoogle Scholar
  8. 8.
    Z Abbas and M Sheikh, Chin. J. Chem. Eng. 25, 11 (2017)CrossRefGoogle Scholar
  9. 9.
    T Hayat, M I Khan, S Qayyum and A Alsaedi, Colloids Surf. A 539, 335 (2018)CrossRefGoogle Scholar
  10. 10.
    T Hayat, S Qayyum, M Imtiaz and A Alsaedi, Int. J. Heat Mass Transf. 102, 723 (2016)CrossRefGoogle Scholar
  11. 11.
    T Hayat, I Ullah, B Ahmed and A Alsaedi, Results Phys. 7, 2804 (2017)ADSCrossRefGoogle Scholar
  12. 12.
    Z A Zaidi and S T Mohyud-Din, J. Mol. Liq. 230, 230 (2017)CrossRefGoogle Scholar
  13. 13.
    A A Afify and N S Elgazery, Particuology 29, 154 (2016)CrossRefGoogle Scholar
  14. 14.
    M Mustafa, Int. J. Heat Mass Transf. 113, 1012 (2017)CrossRefGoogle Scholar
  15. 15.
    T Hayat, S Nawaz, A Alsaedi and M Rafiq, Results Phys. 7, 982 (2017)ADSCrossRefGoogle Scholar
  16. 16.
    M I Khan, S Qayyum, T Hayat, M I Khan and A Alsaedi, Results Phys. 7, 3968 (2017)ADSCrossRefGoogle Scholar
  17. 17.
    T Hayat, S Qayyum, M Imtiaz and A Alsaedi, Results Phys. 7, 2557 (2017)ADSCrossRefGoogle Scholar
  18. 18.
    T Hayat, S Qayyum, A Alsaedi and B Ahmad, Results Phys. 8, 223 (2018)ADSCrossRefGoogle Scholar
  19. 19.
    F M Abbasi, S A Shehzad, T Hayat and B Ahmad, J. Magn. Magn. Mater. 404, 159 (2016)CrossRefGoogle Scholar
  20. 20.
    S Qayyum, T Hayat, M I Khan, M I Khan and A Alsaedi, J. Mol. Liq. 262, 261 (2018)CrossRefGoogle Scholar
  21. 21.
    V L Berdichevsky, Int. J. Eng. Sci. 128, 24 (2018) Google Scholar
  22. 22.
    M I Khan, S Qayyum, T Hayat, M Waqas, M I Khan and A Alsaedi, J. Mol. Liq. 259, 274 (2018)CrossRefGoogle Scholar
  23. 23.
    Y Haseli, Energy Convers. Manage. 159, 109 (2018)CrossRefGoogle Scholar
  24. 24.
    T Hayat, M I Khan, S Qayyum, A Alsaedi and M I Khan, Phys. Lett. A 382(11), 749 (2018)ADSMathSciNetCrossRefGoogle Scholar
  25. 25.
    C Jia, R Zeng, X Peng, L Zhang and Y Zhao, Chem. Eng. Sci. 190, 1 (2018)CrossRefGoogle Scholar
  26. 26.
    C S Jia, C W Wang, L H Zhang, X L Peng, H M Tang, J Y Liu, Y Xiong and R Zeng, Chem. Phys. Lett. 692, 57 (2018)ADSCrossRefGoogle Scholar
  27. 27.
    C S Jia, C W Wang, L H Zhang, X L Peng, H M Tang and R Zeng, Chem. Eng. Sci. 183, 26 (2018)CrossRefGoogle Scholar
  28. 28.
    X L Peng, R Jiang, C S Jia, L H Zhang and Y L Zhao, Chem. Eng. Sci. 190, 122 (2018)CrossRefGoogle Scholar
  29. 29.
    S Qayyum, M I Khan, T Hayat, A Alsaedi and M Tamoor, Int. J. Heat Mass Transf. 127, 933 (2018)CrossRefGoogle Scholar
  30. 30.
    M Turkyilmazoglu, Math. Comput. Model. 53, 1929 (2011)CrossRefGoogle Scholar
  31. 31.
    T Hayat, S Qayyum, M I Khan and A Alsaedi, AIP Phy. Fluids 30, 017101 (2018)ADSCrossRefGoogle Scholar
  32. 32.
    S Abbasbandy and T Hayat, Commun. Nonlinear Sci. Numer. Simul. 14, 3591 (2009)ADSMathSciNetCrossRefGoogle Scholar
  33. 33.
    L Zheng, L Wang and X Zhang, Commun. Nonlinear Sci. Numer. Simul. 16, 731 (2011)ADSCrossRefGoogle Scholar
  34. 34.
    T Hayat, M I Khan, S Qayyum and A Alsaedi, Chin. J. Phys. 55, 2501 (2017)CrossRefGoogle Scholar
  35. 35.
    T Hayat, K Muhammad, M I Khan and A Alsaedi, Pramana – J. Phys. 92: 57 (2019) Google Scholar

Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  • Tasawar Hayat
    • 1
    • 2
  • Mehreen Kanwal
    • 1
  • Sumaira Qayyum
    • 1
    Email author
  • M Ijaz Khan
    • 1
  • Ahmed Alsaedi
    • 2
  1. 1.Department of MathematicsQuaid-I-Azam University 45320IslamabadPakistan
  2. 2.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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