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A convective study of Al2O3-H2O and Cu- H2O nano-liquid films sprayed over a stretching cylinder with viscous dissipation

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Abstract.

This study is related with the analysis of spray distribution considering a nanofluid thin layer over the slippery and stretching surface of a cylinder with thermal radiation. The distribution of the spray rate is designated as a function of the nanolayer thickness. The applied temperature used during spray phenomenon has been assumed as a reference temperature with the addition of the viscous dissipation term. The diverse behavior of the thermal radiation with magnetic and chemical reaction has been cautiously observed, which has consequences in causing variations in the spray distribution and heat transmission. Nanofluids have been used as water-based like Al2O3-H2O, Cu- H2O and have been examined under the consideration of momentum and thermal slip boundary conditions. The basic equations have been transformed into a set of nonlinear equations by using suitable variables for alteration. The approximate results of the problem have been achieved by using the optimal approach of the Homotopy Analysis Method (HAM). We demonstrate our results with the help of the numerical (ND-Solve) method. In addition, we found a close agreement of the two methods which is confirmed through graphs and tables. The rate of the spray pattern under the applied pressure term has also been obtained. The maximum cooling performance has been obtained by using the Cu water with the small values of the magnetic parameter and alumina for large values of the magnetic parameter. The outcomes of the Cu-water and Al2O3-H2O nanofluids have been linked to the published results in the literature. The impact of the physical parameters, like the skin friction coefficient, and the local Nusselt number have also been observed and compared with the published work. The momentum slip and thermal slip parameters, thermal radiation parameter, magnetic parameter and heat generation/absorption parameter effects on the spray rate have been calculated and discussed.

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References

  1. S.U.S. Choi, ASME Fluids Eng. Div. 66, 99 (1995)

    Google Scholar 

  2. W. Yu, H.Q. Xie, L.F. Chen, Y. Li, Powder Technol. 197, 218 (2010)

    Article  Google Scholar 

  3. W. Yu, H.Q. Xie, Y. Li, L.F. Chen, Powder Technol. 230, 14 (2012)

    Article  Google Scholar 

  4. L.F. Chen, W. Yu, H.Q. Xie, Y. Li, Powder Technol. 231, 18 (2012)

    Article  Google Scholar 

  5. H.Q. Xie, L.F.J. Chen, Chem. Eng. 56, 1030 (2011)

    Google Scholar 

  6. W. Yu, H.Q. Xie, W. Chen, J. Appl. Phys. 107, 094317 (2010)

    Article  ADS  Google Scholar 

  7. B. Xiao, Y. Yang, L. Chen, Powder Technol. 239, 409 (2013)

    Article  Google Scholar 

  8. J. Cai, X. Hu, B. Xiao, Y. Zhou, W. Wei, Int. J. Heat Mass Transfer 105, 623 (2017)

    Article  Google Scholar 

  9. J. Buongiorno, J. Heat Transf. 128, 240 (2006)

    Article  Google Scholar 

  10. N.S. Khan, T. Gul, S. Islam, I. Khan, M.A. Aisha, S.A. Ali, Appl. Sci. 7, 271 (2017)

    Article  Google Scholar 

  11. M.T. Sk, K. Das, P.K. Kundu, Appl. Therm. Eng. 104, 758 (2016)

    Article  Google Scholar 

  12. A.K. Pandey, M. Kumar, Alex. Eng. J., https://doi.org/10.1016/j.aej.2017.01.017 (2017)

  13. D. Pal, G. Mandal, K. Vajravelu, Appl. Math. Comput. 238, 208 (2014)

    MathSciNet  Google Scholar 

  14. A.A. Hakeem, N.V. Ganesh, B. Ganga, J. Magn. & Magn. & Mater. 381, 243 (2015)

    Article  ADS  Google Scholar 

  15. A.K. Pandey, M. Kumar, Alex. Eng. J. 56, 55 (2017)

    Article  Google Scholar 

  16. M. Sheikholeslami, R. Ellahi, Int. J. Heat Mass Transf. 89, 799 (2015)

    Article  Google Scholar 

  17. M. Sheikholeslami, J. Mol. Liq. 234, 364 (2017)

    Article  Google Scholar 

  18. M. Sheikholeslami, J. Mol. Liq. 229, 137 (2017)

    Article  Google Scholar 

  19. M. Sheikholeslami, Phys. Lett. A 381, 494 (2017)

    Article  ADS  Google Scholar 

  20. M. Sheikholeslami, Eur. Phys. J. Plus 129, 248 (2014)

    Article  Google Scholar 

  21. M. Sheikholeslami, Eur. Phys. J. Plus 131, 413 (2016)

    Article  Google Scholar 

  22. M. Sheikholeslami, Eur. Phys. J. Plus 132, 55 (2017)

    Article  Google Scholar 

  23. M. Sheikholeslami, H.B. Rokni, Int. J. Heat Mass Transfer 115, 1203 (2017)

    Article  Google Scholar 

  24. M. Sheikholeslami, H.B. Rokni, Int. J. Heat Mass Transfer 42, 15393 (2017)

    Google Scholar 

  25. C.Y. Wang, Chem. Eng. Commun. 193, 869 (2006)

    Article  Google Scholar 

  26. M. Sheikholeslami, M. Hatami, D.D. Ganji, J. Mol. Liq. 211, 577 (2015)

    Article  Google Scholar 

  27. N.S. Khan, T. Gul, S. Islam, W. Khan, Eur. Phys. J. Plus 132, 11 (2017)

    Article  Google Scholar 

  28. Shijun Liao, Homotopy Analysis Method in Nonlinear Differential Equations (Springer-Verlag, Berlin, Heidelberg, 2012)

  29. S.J. Liao, Appl. Math. Comput. 147, 499 (2004)

    MathSciNet  Google Scholar 

  30. S.J. Liao, Appl. Math. Mech. 19, 957 (1998)

    Article  Google Scholar 

  31. V.G. Gupta, S. Gupta, Surv. Math. Appl. 7, 105 (2012)

    MathSciNet  Google Scholar 

  32. A. Ishak, R. Nazar, I. Pop, Energy Convers. Manag. 49, 3265 (2008)

    Article  Google Scholar 

  33. H.R. Ashorynejad, M. Sheikholeslami, I. Pop, D.D. Ganji, Heat Mass Transfer 49, 427 (2013)

    Article  ADS  Google Scholar 

  34. C.Y. Wang, Phys Fluids. 31, 466 (1988)

    Article  ADS  Google Scholar 

  35. C.Y. Wang, Chiu-On., Int. J. Non-Linear Mech. 46, 1191 (2011)

    Article  ADS  Google Scholar 

Download references

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Correspondence to Taza Gul.

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Alshomrani, A.S., Gul, T. A convective study of Al2O3-H2O and Cu- H2O nano-liquid films sprayed over a stretching cylinder with viscous dissipation. Eur. Phys. J. Plus 132, 495 (2017). https://doi.org/10.1140/epjp/i2017-11740-1

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  • DOI: https://doi.org/10.1140/epjp/i2017-11740-1

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