Advertisement

Colloid and Polymer Science

, Volume 296, Issue 9, pp 1501–1508 | Cite as

Enhancement of heat transfer in an unsteady rotating flow for the aqueous suspensions of single wall nanotubes under nonlinear thermal radiation: a numerical study

  • B. J. Gireesha
  • K. Ganesh Kumar
  • M. R. Krishanamurthy
  • N. G. Rudraswamy
Original Contribution
  • 53 Downloads

Abstract

The main objective of the present analysis is to study an enhancement of heat transfer in an unsteady rotating flow for the aqueous suspensions of single wall nanotubes under nonlinear thermal radiation. Appropriate transformations are implemented for the conversion of partial differential systems into a set of ordinary differential equations. The transformed expressions have been scrutinized through RKF-45 order method along with shooting technique. The impact of various pertinent parameters for the velocity and temperature fields are analyzed through graphs in detail. Also, the role of substantial parameters on the fiction factor and mass transportation rates is determined and conferred in depth through graphs. Our simulations established that the higher value of rotation rate parameter reduces the thickness of the momentum boundary layer thickness. Further, an unsteadiness parameter increases velocity and temperature profile decreases.

Keywords

Unsteady rotating flow Nonlinear thermal radiation Aqueous suspensions of carbon nanotubes 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

References

  1. 1.
    S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticle. In: D.A. Siginer, H.P. Wang (Eds.), Developments and applications of non-Newtonian flows, The ASME New York, FED Vol. 231/MD Vol. 66 (1995) 99–105Google Scholar
  2. 2.
    H. asuda, A. Ebata, K. Teramae and N. Hishinuma (1993) Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles, T. Netsu. Bussei, 7 227–233Google Scholar
  3. 3.
    Buongiorno J (2005) Convective transport in nanofluids, ASME. J Heat Transf 128:240–250CrossRefGoogle Scholar
  4. 4.
    Wang CY (1984) The three-dimensional flow due to a stretching sheet. Phys Fluids 27:1915–1917CrossRefGoogle Scholar
  5. 5.
    Shehzad SA, Hayat T, Alsaedi A (2016) Three-dimensional MHD flow of Casson fluid in porous medium with heat generation. J Appl Fluid Mech 9(1):215–223CrossRefGoogle Scholar
  6. 6.
    Kumar KG, Rudraswamy NG, Gireesha BJ, Krishnamurthy MR (2017) Influence of nonlinear thermal radiation and viscous dissipation on three-dimensional flow of Jeffrey nanofluid over a stretching sheet in the presence of Joule heating. Nonlinear Engineering 6(3):207–219Google Scholar
  7. 7.
    Kumar KG, Ramesh GK, Gireesha BJ, Gorla RSR (2017) Characteristics of Joule heating and viscous dissipation on three-dimensional flow of Oldroyd B nanofluid with thermal radiation. Alex Eng J.  https://doi.org/10.1016/j.aej.2017.06.06.006
  8. 8.
    Rudraswamy NG, Shehzad SA, Kumar KG, Gireesha BJ (2017) Numerical analysis of MHD three-dimensional Carreau nanoliquid flow over bidirectionally moving surface. J Braz Soc Mech Sci Eng 23(12):5037–5047CrossRefGoogle Scholar
  9. 9.
    Kumar KG, Huq RU, Rudraswamy NG, Gireesha BJ (2017) Effects of mass transfer on MHD three dimensional flow of a Prandtl liquid over a flat plate in the presence of chemical reaction. Results in Physics 7:3465–3471CrossRefGoogle Scholar
  10. 10.
    Gireesha BJ, Kumar KG, Ramesh GK, Prasannakumara BC (2018) Nonlinear convective heat and mass transfer of Oldroyd-B nanofluid over a stretching sheet in the presence of uniform heat source/sink. Results in Physics 9:1555–1563CrossRefGoogle Scholar
  11. 11.
    Aliakbar V, Pahlavan AA, Sadeghy K (2009) The influence of thermal radiation on MHD flow of Maxwellian fluids above stretching sheets. Commun Nonlinear Sci Numer Simul 14(3):779–794CrossRefGoogle Scholar
  12. 12.
    Siddheshwar PG, Mahabaleswar US (2005) Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet. Int J Non-Linear Mach 40(6):807–820CrossRefGoogle Scholar
  13. 13.
    Abdel-Wahed MS (2017) Nonlinear Rosseland thermal radiation and magnetic field effects on flow and heat transfer over a moving surface with variable thickness in a nanofluid. Can J Phys 95:267–273CrossRefGoogle Scholar
  14. 14.
    Kumar KG, Gireesha BJ, Manjunatha S, Rudraswamy NG (2017) Effect of nonlinear thermal radiation on double-diffusive mixed convection boundary layer flow of viscoelastic nanofluid over a stretching sheet. IJMME 12(1):18Google Scholar
  15. 15.
    Kumar KG, Gireesha BJ, Gorla RSR (2018) Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field. IJMME 13(1):2Google Scholar
  16. 16.
    Kumar KG, Gireesha BJ, Ramesh GK, Rudraswamy NG (2018) Double-diffusive free convective flow of Maxwell nanofluid past a stretching sheet with nonlinear thermal radiation. J Nanofluids 7(3):499–508CrossRefGoogle Scholar
  17. 17.
    Kumar KG, Archana M, Gireesha BJ, Krishanamurthy MR (2018) Cross diffusion effect on MHD mixed convection flow of nonlinear radiative heat and mass transfer of Casson fluid over a vertical plate. Results in physics 8:694–701CrossRefGoogle Scholar
  18. 18.
    Makinde OD, Kumar KG, Manjunatha S, Gireesha BJ (2017) Effect of nonlinear thermal radiation on MHD boundary layer flow and melting heat transfer of micro-polar fluid over a stretching surface with fluid particles suspension. Defect and Diffusion Forum 378:125–136CrossRefGoogle Scholar
  19. 19.
    Wang CY (1988) Stretching of a surface in a rotating fluid. JAMP 39:177–185CrossRefGoogle Scholar
  20. 20.
    Zaimi K, Ishak A, Pop I (2013) Stretching surface in rotating viscoelastic fluid. Appl Math Mech -Engl Ed 34(8):945–952CrossRefGoogle Scholar
  21. 21.
    Rashidi MM, Abelman S, Mehr NF (2013) Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid. Int J Heat Mass Transf 62:515–525CrossRefGoogle Scholar
  22. 22.
    Nadeem S, Rehman AU, Mehmood R (2016) Boundary layer flow of rotating two phase nanofluid over a stretching surface. Heat Transfer-Asian Research 45(3):285–298CrossRefGoogle Scholar
  23. 23.
    Mabood F, Ibrahim SM, Khan WA (2016) Framing the features of Brownian motion and thermophoresis on radiative nanofluid flow past a rotating stretching sheet with magnetohydrodynamics. Results in Physics 6:1015–1023CrossRefGoogle Scholar
  24. 24.
    Das S, Jana RN, Makinde OD (2016) Transient hydromagnetic reactive Couette flow and heat transfer in a rotating frame of reference. Alex Eng J 55(1):635–644CrossRefGoogle Scholar
  25. 25.
    Ali AO, Makinde OD, Gyekye YN (2016) Numerical study of unsteady MHD Couette flow and heat transfer of nanofluids in a rotating system with convective cooling. International Journal of Numerical Methods for Heat & Fluid Flow 26(5):1567–1579CrossRefGoogle Scholar
  26. 26.
    Ali FM, Nazar R, Arifin NM, Pop I (2011) Unsteady shrinking sheet with mass transfer in a rotating fluid. Int J Numer Methods Fluids 66:1465–1474CrossRefGoogle Scholar
  27. 27.
    Bachok N, Ishak A, Pop I (2010) Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet. Applied Mathematics and Mechanics (English Edition) 31(11):1421–1428CrossRefGoogle Scholar
  28. 28.
    Rosca NC, Pop I (2013) Mixed convection stagnation point flow past a vertical flat plate with a second order slip: Heat flux case. Int J Heat Mass Transf 65:102–109CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • B. J. Gireesha
    • 1
  • K. Ganesh Kumar
    • 1
  • M. R. Krishanamurthy
    • 2
  • N. G. Rudraswamy
    • 1
  1. 1.Department of Studies and Research in MathematicsKuvempu UniversityShimogaIndia
  2. 2.JNNC Engineering CollegeShimogaIndia

Personalised recommendations