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Pramana

, 92:16 | Cite as

Numerical interpretation of autocatalysis chemical reaction for nonlinear radiative 3D flow of cross magnetofluid

  • W A KhanEmail author
  • M Ali
  • F Sultan
  • M Shahzad
  • M Khan
  • M Irfan
Article
  • 56 Downloads

Abstract

A simple relation of chemical processes for three-dimensional flow of a cross magnetofluid over bidirectional stretched surface is constructed. The impact of convective heat transport in the manifestation of non-linear thermal radiation and features of heat source–sink are also considered for heat transfer mechanism. Furthermore, in this research paper, the innovative relation between heterogeneous and homogeneous responses with equivalent diffusivities for reactant and autocatalysis is exploited. Apposite alterations are guaranteed to obtain ordinary differential equations (ODEs) with high nonlinearity. Numerically, the bvp4c technique is exploited to the interpret the structure of ODEs. Portrayals of temperature and concentration for cross liquid equivalent to abundant somatic parameters are presented graphically as well as in tabular form. Our results reveal that the temperature of the cross fluid decreases with fluctuation in the heat sink parameter. Furthermore, it is perceived from the figures that the concentration of the cross fluid reduces for higher values of chemical reaction parameters.

Keywords

Three-dimensional flow cross liquid model heterogeneous–homogeneous responses heat source–sink 

PACS Nos

47.10.A− 47.15.G− 05.40.Jc 44.40.+a 

References

  1. 1.
    M Ramzan, N Ullah, J D Chung, D Lu and U Farooq, Sci. Rep. 7, 12901 (2017)ADSCrossRefGoogle Scholar
  2. 2.
    M Ramzan, M Bilal and J D Chung, PLoS ONE 12(1), e0170790 (2016)CrossRefGoogle Scholar
  3. 3.
    Z Shafique, M Mustafa and A Mushtaq, Results Phys. 6, 627 (2016)ADSCrossRefGoogle Scholar
  4. 4.
    W A Khan, M Khan and A S Alshomrani, J. Mol. Liq. 223, 1039 (2016)CrossRefGoogle Scholar
  5. 5.
    W A Khan, A S Alshomrani and M Khan, Results Phys. 6, 772 (2016)ADSCrossRefGoogle Scholar
  6. 6.
    T Hayat, M I Khan, A Alsaedi and M I Khan, J. Mol. Liq. 223, 960 (2016)CrossRefGoogle Scholar
  7. 7.
    M I Khan, T Hayat, M I Khan and A Alsaedi, Int. J. Heat Mass Transfer 113, 310 (2017)CrossRefGoogle Scholar
  8. 8.
    J V Ramana Reddy, V Sugunamma and N Sandeep, Int. J. Eng. Res. Afr. 20, 130 (2016)Google Scholar
  9. 9.
    I L Animasaun, C S K Raju and N Sandeep, Alex. Eng. J. 55(2), 1595 (2016)CrossRefGoogle Scholar
  10. 10.
    M I Khan, T Hayat, M Waqas, M I Khan and A Alsaedi, J. Mol. Liq. 233, 465 (2017)CrossRefGoogle Scholar
  11. 11.
    W A Khan, M Irfan, M Khan, A S Alshomrani, A K Alzahrani and M S Alghamdi, J. Mol. Liq. 234, 201 (2017)CrossRefGoogle Scholar
  12. 12.
    M Mustafa, J A Khan, T Hayat and A Alsaedi, Int. J. Heat Mass Transfer 108, 1340 (2017)CrossRefGoogle Scholar
  13. 13.
    A Sohail, W A Khan, M Khan and S I A Shah, Results Phys. 7, 3281 (2017)ADSCrossRefGoogle Scholar
  14. 14.
    B Mahanthesh, F Mabood, B J Gireesha and R S R Gorla, Eur. Phys. J. Plus 132, 113 (2017)CrossRefGoogle Scholar
  15. 15.
    M I Khan, M I Khan, M Waqas, T Hayat and A Alsaedi, Int. Commun. Heat Mass Transfer 86, 231 (2017)CrossRefGoogle Scholar
  16. 16.
    M Khan, M Irfan and W A Khan, J. Braz. Soc. Mech. Sci. Eng. 40, 108 (2018)CrossRefGoogle Scholar
  17. 17.
    M Khan, W A Khan and A S Alshomrani, Int. J. Heat Mass Transfer 101, 570 (2016)CrossRefGoogle Scholar
  18. 18.
    M Farooq, M I Khan, M Waqas, T Hayat, A Alsaedi and M I Khan, J. Mol. Liq. 221, 1097 (2016)CrossRefGoogle Scholar
  19. 19.
    M Atlas, Rizwan Ul Haq and T Mekkaoui, J. Mol. Liq. 223, 289 (2016)Google Scholar
  20. 20.
    N S Akbar and Z H Khan, J. Mol. Liq. 222, 279 (2016)CrossRefGoogle Scholar
  21. 21.
    T Hayat M Waqas M I Khan and A Alsaedi, J. Mol. Liq. 225, 302 (2017)CrossRefGoogle Scholar
  22. 22.
    M I Khan, M Waqas, T Hayat, M A Alsaedi and I Khan, J. Mol. Liq. 246, 259 (2017)CrossRefGoogle Scholar
  23. 23.
    M K Nayak, N S Akbar, V S Pandey, Z H Khan and D Tripathi, Powder Technol. 315, 205 (2017)CrossRefGoogle Scholar
  24. 24.
    M K Nayak, Int. J. Mech. Sci. 124, 185 (2017)CrossRefGoogle Scholar
  25. 25.
    M Waqas, M Ijaz Khan, T Hayat, A Alsaedi and M Imran Khan, Eur. Phys. J. Plus 132, 280 (2017)Google Scholar
  26. 26.
    N Sandeep and M Gnaneswara Reddy, J. Mol. Liq. 225, 87 (2017)CrossRefGoogle Scholar
  27. 27.
    B Mahanthesh, B J Gireesha, S A Shehzad, F M Abbasi and R S R Gorla, Appl. Math. Mech. 38, 969 (2017)CrossRefGoogle Scholar
  28. 28.
    M M Bhatti, A Zeeshan and R Ellahi, Pramana – J. Phys. 89: 48 (2017)ADSCrossRefGoogle Scholar
  29. 29.
    T Hayat, M Waqas, S A Shehzad and A Alsaedi, Pramana – J. Phys. 86, 3 (2016)ADSCrossRefGoogle Scholar
  30. 30.
    W A Khan, M Khan, A S Alshomrani and L Ahmad, J. Mol. Liq. 224, 1016 (2016)CrossRefGoogle Scholar
  31. 31.
    W A Khan and M Khan, Results Phys. 6, 829 (2016)ADSCrossRefGoogle Scholar
  32. 32.
    T Hayat, M I Khan, M Farooq, A Alsaedi, M Waqas and T Yasmeen, Int. J. Heat Mass Transfer 99, 702 (2016)CrossRefGoogle Scholar
  33. 33.
    J V Ramana Reddy, V Sugunamma and N Sandeep, J. Mol. Liq. 236, 93 (2017)CrossRefGoogle Scholar
  34. 34.
    M Waqas, M I Khan, T Hayat, A Alsaedi and M I Khan, Chin. J. Phys. 55(3), 729 (2017)CrossRefGoogle Scholar
  35. 35.
    M I Khan, M Waqas, T Hayat, M I Khan and A Alsaedi, Int. J. Mech. Sci. 131–132, 426 (2017)CrossRefGoogle Scholar
  36. 36.
    T Hayat, M Ijaz Khan, M Waqas, A Alsaedi and M Imran Khan, Int. J. Hydrog. Energy 42(26), 16821 (2017)Google Scholar
  37. 37.
    T Hayat, M I Khan, M Farooq, A Alsaedi and M I Khan, Int. J. Heat Mass Transfer 106, 289 (2017)CrossRefGoogle Scholar
  38. 38.
    M Manzur, M Khan and Masood ur Rahman, Int. J. Mech. Sci. 138–139, 515 (2018)CrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  • W A Khan
    • 1
    Email author
  • M Ali
    • 1
  • F Sultan
    • 1
  • M Shahzad
    • 1
  • M Khan
    • 2
  • M Irfan
    • 2
  1. 1.Department of Mathematics and StatisticsHazara UniversityMansehra Pakistan
  2. 2.Department of MathematicsQuaid-i-Azam UniversityIslamabad Pakistan

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