Advertisement

Journal of Thermal Science

, Volume 28, Issue 1, pp 115–122 | Cite as

MWCNTs/SWCNTs Nanofluid Thin Film Flow over a Nonlinear Extending Disc: OHAM Solution

  • Gohar
  • Gul Taza
  • Khan Waris
  • Shuaib Muhammad
  • Altaf Khan Muhammad
  • Bonyah Ebenezer
Article
  • 21 Downloads

Abstract

The aim of this research is the improvement towards the consumption of energy in the field of engineering and industry. The efforts have been paid to the enhancement of heat transmission and cooling process through a nanofluid coating of a nonlinear stretching disc. The combination of Water (H2O) and multiple walled carbon nanotubes (MWCNT) / single walled carbon nanotubes (SWCNT) have been used as a nanofluid. The spreading of a thin nano-layer with variable thickness over a nonlinear and radially stretching surface has been considered. The estimated results of the problem have been accomplished using the Optimal Homotopy Analysis Method (OHAM). The residual errors of the OHAM method have been shown physically and numerically. The important physical parameters of skin friction and Nusselt number have been calculated and discussed. The other embedding parameters like generalized magnetic parameter, Prantl number, nanofluid volume fraction and Eckert number have been intended and discussed.

The obtained results have been compared with the Numerical (ND-Solve) method for both sorts of CNTs. The closed agreement of both methods has been achieved.

Keywords

CNTs-H2O based nanofluid variable thin layer nonlinear radially stretching disc magnetic field skin friction and Nusselt number OHAM & numerical method 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Iijima S., Helical microtubules of graphitic carbon. Nature, 1991, 354: 56–58.ADSCrossRefGoogle Scholar
  2. [2]
    Oberlin A., Endo M., Koyama T., Filamentous growth of carbon through benzene decomposition. Journal of Crystal Growth, 1976, 32: 335–349.ADSCrossRefGoogle Scholar
  3. [3]
    Iijima S., Ichihashi T., Single-shell carbon nanotubes of 1-nm diameter. Nature, 1993, 363: 603–605.ADSCrossRefGoogle Scholar
  4. [4]
    Bethune D.S., Kiang C.H., Devries M.S., Gorman G., Savoy R., Vazquez J., et al., Cobalt-catalysed growth of carbon nanotubes with single-atomic-layer walls. Nature, 1993, 363: 605–607.ADSCrossRefGoogle Scholar
  5. [5]
    Terrones M., Science and technology of the twenty-first century: synthesis, properties, and applications of carbon nanotubes. Annual Review of Materials Research, 2003, 33: 419–501.ADSCrossRefGoogle Scholar
  6. [6]
    De Volder M.F.L., Tawfick S.H., Baughman R.H., Hart A.J., Carbon nanotubes: present and future commercial applications. Science, 2013, 339: 535–539.ADSCrossRefGoogle Scholar
  7. [7]
    Negin C., Ali S., Xie Q., Application of nanotechnology for enhancing oil recovery–A review, Petroleum, 2016, 2: 324–333.CrossRefGoogle Scholar
  8. [8]
    Murshed S.M.S., Nieto de Castro C.A., Superior thermal features of carbon nanotubes-based nano fluids–A review, Renewable and Sustainable Energy Reviews, 2014, 37: 155–167.CrossRefGoogle Scholar
  9. [9]
    Qiu L., Scheider K., Radwan S.A., Larkin L.S., Saltonstall C.B., Feng Y., Zhang X., Norris P.M., Thermal transport barrier in carbon nanotube array nano-thermal interface materials, Carbon, 2017, 120: 128–136.CrossRefGoogle Scholar
  10. [10]
    Qiu L., Wang X., Tang D., Zheng X., Norris P.M., Wen D., Zhao J., Zhang X., Li Q., Functionalization and densification of inter-bundle interfaces for improvement in electrical and thermal transport of carbon nanotube fibers, Carbon, 2016, 105: 248–259.CrossRefGoogle Scholar
  11. [11]
    Qiu L., Zhu N., Zou H., Feng Y., Zhang X., Tang D., Advances in thermal transport properties at nanoscale in China, International Journal of Heat and Mass Transfer, 2018, 125: 413–433.CrossRefGoogle Scholar
  12. [12]
    Zaidi Z., Mohyud-din S.T., Mohsen B.B., Convective heat transfer and MHD analysis of wall jet flow of nanofluids containing carbon nanotubes, Engineering Computations, 2017, 34: 1–9.Google Scholar
  13. [13]
    Sreedevi P., Reddy P.S., Chamkha A.J., Magnetohydrodynamics heat and mass transfer analysis of single and multi - wall carbon nanotubes over vertical cone with convective boundary condition, International Journal of Mechanical Science, 2018, 135: 646–655.CrossRefGoogle Scholar
  14. [14]
    Haq R.U., Shahzad F., Al-Mdallal Q.M., MHD pulsatile flow of engine oil based carbon nanotubes between two concentric cylinders. Results in Physics, 2017, 7: 57–68.ADSCrossRefGoogle Scholar
  15. [15]
    Xue Q., Model for thermal conductivity of carbon nanotube-based composites. Physica B: Condensed Matter, 2005, 368: 302–307.ADSCrossRefGoogle Scholar
  16. [16]
    Garbadeen I.D., Sharifpur M., Slabber J.M., Meyer J.P., Experimental study on natural convection of MWCNTwater nanofluids in a square enclosure. International Communications in Heat and Mass Transfer, 2017, 88: 1–8.CrossRefGoogle Scholar
  17. [17]
    Khan U., Ahmed N., Mohyud-Din S.T., Sikander W., Flow of carbon nanotubes suspended nanofluid in stretchable non-parallel walls, Neural Computing Applications, 2017: DOI: https://doi.org/10.1007/s00521-017-2891-1.Google Scholar
  18. [18]
    Sheikholeslami M., Seyednezhad M., Nanofluid heat transfer in a permeable enclosure in presence of variable magnetic field by means of CVFEM. International Journal of Heat and Mass Transfer, 2017, 114: 1169–1180.CrossRefGoogle Scholar
  19. [19]
    Khan N.S., Gul T., Islam S., Khan I., Aisha M.A., Ali S.A., Magnetohydrodynamic nanoliquid thin film sprayed on a stretching cylinder with heat transfer. Applied Sciences, 2017, 7, 271.CrossRefGoogle Scholar
  20. [20]
    Ali S.A., Gul T., The convective study of the Al2O3-H2O and Cu-H2O nano-liquid film sprayed over a stretching cylinder with viscous dissipation. The European Physical Journal Plus, 2017, 132: 495.ADSCrossRefGoogle Scholar
  21. [21]
    Sparrow E.M., Gregg J.L., A theory of rotating condensation. Journal of Heat Transfer, 1959, 81: 113–120.Google Scholar
  22. [22]
    Wang C.Y., Liquid film on an unsteady stretching surface. Quarterly of Applied Mathematics, 1990, 48 (4): 601–610.MathSciNetCrossRefzbMATHGoogle Scholar
  23. [23]
    Rehman A.U., Mehmood R., Nadeem S., Akbar N.S., Motsa S.S., Effects of single and multi-walled carbon nano tubes on water and engine oil based rotating fluids with internal heating, Advanced Powder Technology, 2017, 28(9): 1991–2002.CrossRefGoogle Scholar
  24. [24]
    Ellahi R., Hassan M., Zeeshan A., Study of natural convection MHD nanofluid by means of single and multiwalled carbon nanotubes suspended in a salt water solution. IEEE Transactions on Nanotechnology, 2015, 14(4): 1–10.CrossRefGoogle Scholar
  25. [25]
    Sajid M., Hayat T., Asghar S., Non-similar solution for the axisymmetric flow of a third-grade fluid over a radially stretching sheet. Acta Mechanica, 2007, 189: 193–205.CrossRefzbMATHGoogle Scholar
  26. [26]
    Gul T., Scattering of a thin layer over a nonlinear radially extending surface with Magneto hydrodynamic and thermal dissipation. Surface Review and Letters, 2018, 1850123: 1–7. DOI: 10.1142/S0218625X18501238.Google Scholar
  27. [27]
    Beata G., Jacek K., Modeling of thermal properties of thermal insulation layered with transparent, opaque and reflective film. Journal of Thermal Science, 2018, 27(5): 463–469.CrossRefGoogle Scholar
  28. [28]
    Pawel M., Paulina K., Magdalena H., Edyta K., Mariusz J., Comprehensive approach for porous materials analysis using a dedicated preprocessing tool for mass and heat transfer modeling. Journal of Thermal Science, 2018, 27(5): 479–486.CrossRefGoogle Scholar
  29. [29]
    Ran T., Xiaoye D., Dabiao W., Lin S., Study on Al2O3 extraction from activated coal gangue under different calcination atmospheres. Journal of Thermal Science, 2017, 26(6): 570–576.CrossRefGoogle Scholar
  30. [30]
    Grunt K., Zuraw A., Pietrowicz S., Analysis of Nusselt number distribution in case of a strongly heated, horizontal rod. Journal of Thermal Science, 2016, 25 (6): 542–548.CrossRefGoogle Scholar
  31. [31]
    Gul T., Firdous K., The experimental study to examine the stable dispersion of the graphene nanoparticles and to look at the GO–H2O nanofluid flow between two rotating disks. Applied Nanoscience, 2018: 1–17. DOI: https://doi.org/10.1007/s13204-018-0851-4.Google Scholar
  32. [32]
    Liao S.J., An optimal homotopy-analysis approach for strongly nonlinear differential equations, Communications in Nonlinear Science and Numerical Simulation, 2010, 15: 2003–2016.ADSMathSciNetCrossRefzbMATHGoogle Scholar
  33. [33]
    Hayat T., Muhammad T., Shehzad S.A., Alsaedi A., An analytical solution for magnetohydrodynamic Oldroyd-B nanofluid flow induced by a stretching sheet with heat generation/absorption, International Journal of Thermal Science, 2017, 111: 274–288.CrossRefGoogle Scholar

Copyright information

© Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Gohar
    • 1
  • Gul Taza
    • 2
    • 3
  • Khan Waris
    • 4
  • Shuaib Muhammad
    • 2
  • Altaf Khan Muhammad
    • 2
  • Bonyah Ebenezer
    • 5
  1. 1.Department of MathematicsUniversity of PeshawarPeshawarPakistan
  2. 2.Department of MathematicsCity University of Science and Information TechnologyPeshawar P/CPakistan
  3. 3.Higher Education DepartmentKhyber PukhtunkhwaPeshawarPakistan
  4. 4.Department of MathematicsIslamia CollegePeshawarPakistan
  5. 5.Department of MathematicsKumasi Technical UniversityKumasi GhanaPakistan

Personalised recommendations