THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

online first only

Heat transfer analysis in MHD thermal nanofluid using Keller-box method

ABSTRACT
Thermal radiation analysis in MHD Casson nanofluid flow over an exponentially stretching sheet is investigated. A chemical reaction is also considered. A non-uniform magnetic field of strength is imposed in a transverse direction. The governing boundary layer equations are reduced into ordinary differential equations by using suitable similarity transformations. The coupled nonlinear equations are solved numerically using an implicit finite difference scheme by means of the Keller-box method. A comparison of the obtained results is performed with the published results. It is found that velocity profiles are suppressed with the increasing values of Hartmann number and Casson fluid parameter.
KEYWORDS
PAPER SUBMITTED: 2018-05-27
PAPER REVISED: 2018-11-08
PAPER ACCEPTED: 2018-12-16
PUBLISHED ONLINE: 2018-12-16
DOI REFERENCE: https://doi.org/10.2298/TSCI180527319A
REFERENCES
  1. Buongiorno J., Convective transport in nanofluids. J. Heat Transf, 128, (2006), pp. 240-250.
  2. Khan, W. A. and Pop, I,Boundary-layer flow of a nanofluid past a stretching sheet. International Journal of Heat and Mass Transfer, 53, (2010), pp. 2477-2483.
  3. Xie W. Y., A Review on Nanofluids: Preparation, Stability Mechanisms, and Applications. Journal of Nanomaterials, 2012, (2012).17.
  4. Motsumi, T. G. and Makinde, O. D., Effects of thermal radiation and viscous dissipation on boundary layer flow of nanofluids over a permeable moving flat plate. Phys. Sci, 86, (2012), 8.
  5. Ravi S., et al., Effects of Some Parameters on Thermal Conductivity of Nanofluids and Mechanisms of Heat Transfer Improvemen. IJERA, 3, (2013), pp. 2136-2140.
  6. Sakiadis, B. C., Boundary layer behavior on continuous solid surfaces: boundary layer equations for two-dimensional and axisymmetric flow. AIChE Journal, 7(1) (1961), pp. 26-28.
  7. Erickson, L. E., et al., Heat and mass transfer on a moving continuous flat plate with suction or injection, Industrial and Engineering Chemistry Fundamentals, 5(1) (1966), pp. 19-25.
  8. Gupta, P. S. and Gupta, A. S., Heat and mass transfer on a stretching sheet with suction or blowing. The Canadian journal of chemical Engineering, 55(6), (1977), pp. 744 - 746.
  9. Rajagopal, K. R., et al., Flow of a viscoelastic fluid over a stretching sheet, Rheol Acta, 23, (1984), pp. 213-215.
  10. Dutta, B. K., et al., Temperature field in flow over a stretching sheet with uniform heat flux. International Communication in Heat and Mass transfer, 12,(1985), pp. 89-94.
  11. Magyari, E. and Keller, B., Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface. Journal of Physics D: Applied Physics, 32, (1999), pp. 577-585.
  12. Bidin, B. and Nazar, R., Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation. European Journal of Scientific Research, 33(4), (2009), pp. 710-717.
  13. Ishak A., MHD boundary layer flow due to an exponentially stretching sheet with radiation effect. Sains Malaysiana 40(4), (2011), pp. 391-395.
  14. Animasaun I., Effect of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction . Journalof Nigerian Mathematical society 34, (2015), pp.11-31.
  15. Animasaun I., Casson fluid flow with variable thermo-physical-property along exponentially stretching with suct ion and exponentially decaying internal heat generation using homotopy analysis method. Journalof Nigerian Mathematical society 35, (2016), pp.11-31.