, 92:17 | Cite as

Heat transfer enhancement for Maxwell nanofluid flow subject to convective heat transport

  • M Khan
  • M IrfanEmail author
  • W A Khan


Nanoliquids possess remarkable features that have fascinated numerous researchers because of their utilisation in nanoscience and nanotechnology. A mathematical relation for the two-dimensional flow of Maxwell nanoliquid over a stretching cylinder is established. Buongiorno’s relation is considered here to visualise the impact of Brownian moment and thermophoresis mechanisms on Maxwell liquid. The convective heat transport is deliberated for heat transfer mechanisms. Transformation procedure yields nonlinear differential system which is then computed through the homotopic approach. The results obtained are studied in detail in relation to somatic parameters. It is notable that the velocity of Maxwell liquid shows conflicting behaviour for curvature parameter \({ \alpha }\) and Deborah number \({ \beta }\). Moreover, the liquid temperature increases for increased values of Brownian motion \(N_\mathrm{b}\) and thermophoresis parameter \( N_\mathrm{t}.\) Additionally, the authentication of numerical consequences is prepared via benchmarking with formerly identified restrictive circumstances and we initiate a splendid communication with these results.


Maxwell fluid nanofluid stretching cylinder Brownian and thermophoresis nanoparticles convective condition 


44.10.+i 47.61.−K 87.85.Rs 


  1. 1.
    S U S Choi, ASME Int. Mech. Eng. 66, 99 (1995)Google Scholar
  2. 2.
    N C Peddisetty, Pramana – J. Phys. 87: 62 (2016)ADSCrossRefGoogle Scholar
  3. 3.
    T Hayat, M Waqas, S A Shehzad and A Alsaedi, Pramana – J. Phys. 86, 3 (2016)ADSCrossRefGoogle Scholar
  4. 4.
    K M Shirvan, R Ellahi, M Mamourian and M Moghiman, Int. J. Heat Mass Transfer 107, 1110 (2017)CrossRefGoogle Scholar
  5. 5.
    T Hayat, M Rashid, M Imtiaz and A Alsaedi, Int. J. Heat Mass Transfer 113, 96 (2017)CrossRefGoogle Scholar
  6. 6.
    M Irfan, M Khan and W A Khan, Results Phys. 7, 3315 (2017)ADSCrossRefGoogle Scholar
  7. 7.
    R Ellahi, M H Tariq, M Hassan and K Vafai, J. Mol. Liq. 229, 339 (2017)CrossRefGoogle Scholar
  8. 8.
    K K Shirvan, M Mamourian, S Mirzakhanlari and R Ellahi, Power Tech. 313, 99 (2017)CrossRefGoogle Scholar
  9. 9.
    T Hayat, M Rashid and A Alsaedi, Results Phys. 7, 3107 (2017)ADSCrossRefGoogle Scholar
  10. 10.
    M Khan, M Irfan and W A Khan, Int. J. Hydro. Energy 42, 22054 (2017)CrossRefGoogle Scholar
  11. 11.
    J A Esfahani, M Akbarzadeh, S Rashidi, M A Rosen and R Ellahi, Int. J. Heat Mass Transfer 109, 1162 (2017)CrossRefGoogle Scholar
  12. 12.
    M Waqas, M I Khan, T Hayat and A Alsaedi, Comput. Methods Appl. Mech. Eng. 324, 640 (2017)ADSCrossRefGoogle Scholar
  13. 13.
    M Sheikholeslami, D D Ganji and R Moradi, Chem. Eng. Sci. 174, 326 (2017)CrossRefGoogle Scholar
  14. 14.
    W A Khan, M Khan, M Khan, A S Alshomrani, A K Alzahrani and M S Alghamdi, J. Mol. Liq. 234, 201 (2017)CrossRefGoogle Scholar
  15. 15.
    T Hayat, M I Khan, M Waqas and A Alsaedi, Results Phys. 7, 256 (2017)ADSCrossRefGoogle Scholar
  16. 16.
    S S Nourazar, M Hatami, D D Ganji and M Mhazayinejad, Powder Tech. 317, 310 (2017)CrossRefGoogle Scholar
  17. 17.
    M Khan, M Irfan, W A Khan and L Ahmad, Result Phys. 7, 1899 (2017)ADSCrossRefGoogle Scholar
  18. 18.
    R Ellahi, Appl. Sci. 8, (2018),
  19. 19.
    A Zeeshan, N Shehzad and R Ellahi, Results Phys. 8, 502 (2018)ADSCrossRefGoogle Scholar
  20. 20.
    A Hamid, Hashim and M Khan, J. Mol. Liq. 262, 435 (2018)Google Scholar
  21. 21.
    L J Crane, Z. Angew. Mat. Phys. 26, 619 (1975)Google Scholar
  22. 22.
    C Y Wang, Phys. Fluids 31, 466 (1988)ADSCrossRefGoogle Scholar
  23. 23.
    C Y Wang and C-O Ng, Int. J. Non-Linear Mech. 46, 1191 (2011)ADSCrossRefGoogle Scholar
  24. 24.
    J H Markin, N Najib, N Bachok, A Ishak and I Pop, J. Taiwan Inst. Chem. Eng. 74, 65 (2017)CrossRefGoogle Scholar
  25. 25.
    T Hayat, M I Khan, M Waqas and A Alsaedi, J. Mol. Liq. 231, 126 (2017)CrossRefGoogle Scholar
  26. 26.
    K U Rehman, A Qaiser, M Y Malik and U Ali, Chin. J. Phys. 55, 1605 (2017)CrossRefGoogle Scholar
  27. 27.
    M Mustafa, Int. J. Heat Mass Transfer 108, 1910 (2017)CrossRefGoogle Scholar
  28. 28.
    M Hassan, A Zeeshan, A Majeed and R Ellahi, J. Magn. Magn. Mater. 443, 36 (2017)ADSCrossRefGoogle Scholar
  29. 29.
    M Khan, L Ahmad and M Ayaz, Pramana – J. Phys. (2018),
  30. 30.
    T Hayat, K Rafique, T Muhammad, A Alsaedi and M Ayub, Results Phys. 8, 26 (2018)ADSCrossRefGoogle Scholar
  31. 31.
    M Khan, M Irfan, W A Khan and M Ayaz, Pramana – J. Phys. (2018),
  32. 32.
    M Waqas, M Farooq, M I Khan, A Alsaedi, T Hayat and T Yasmeen, Int. J. Heat Mass Transfer 102, 66 (2016)CrossRefGoogle Scholar
  33. 33.
    W A Khan, M Khan, M Irfan and A S Alshomrani, Results Phys. 7, 4025 (2017)ADSCrossRefGoogle Scholar
  34. 34.
    T Hayat, M Rashid, A Alsaedi and B Ahmad, Results Phys. 8, 1104 (2018)ADSCrossRefGoogle Scholar
  35. 35.
    T Hayat, M Waqas, M I Khan and A Alsaedi, J. Mol. Liq. 225, 302 (2017)CrossRefGoogle Scholar
  36. 36.
    M Khan, M Irfan and W A Khan, Results Phys. 9, 851 (2018)ADSCrossRefGoogle Scholar
  37. 37.
    M Irfan, M Khan, W A Khan and M Ayaz, Phys. Lett. A 382, 1992 (2018)ADSCrossRefGoogle Scholar
  38. 38.
    A Ishak and R Nazar, Eur. J. Sci. Res. 36, 22 (2009)Google Scholar
  39. 39.
    E M A Elbashbeshy, T G Emam, M S El-Azab and K M Abdelgaber, Int. J. Phys. Sci. 24, 3067 (2012)Google Scholar
  40. 40.
    V Poply, P Singh and A V Yadav, Alex. Eng. J. (2017),
  41. 41.
    W A Khan and I Pop, Int. J. Heat Mass Transfer 53, 2477 (2010)CrossRefGoogle Scholar
  42. 42.
    C Y Wang, J. Appl. Math. Mech., (ZAMM) 69, 418 (1989)CrossRefGoogle Scholar
  43. 43.
    R S R Gorla and I Sidawi, Appl. Sci. Res. 52, 247 (1994)ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  1. 1.Department of MathematicsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.Department of MathematicsHazara UniversityMansehraPakistan

Personalised recommendations