Skip to main content
Log in

Newtonian heating in stagnation point flow of Burgers fluid

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The Newtonian heating effects in the stagnation point flow of a Burgers fluid are addressed in this paper. The boundary layer flow problems are stated in the spatial domain from zero to infinity. The solution expressions for the velocity and the temperature are obtained and examined for the influential variables. The tabulated values show comparison with the previous results. It is observed that the obtained results are in good agreement with the existing results in limiting sense.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Fetecau, C., Zierep, J., Bohning, R., and Fetecau, C. On the energetic balance for the flow of an Oldroyd-B fluid due to a flat plate subject to a time-dependent shear stress. Computers and Mathematics with Applications, 60, 74–82 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Fetecau, C., Akhtar, W., Imran, M. A., and Vieru, D. On the oscillating motion of an Oldroyd-B fluid between two infinite circular cylinders. Computers and Mathematics with Applications, 59, 2836–2845 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  3. Fetecau, C., Hayat, T., Khan, M., and Fetecau, C. A note on longitudinal oscillations of a generalized Burgers fluid in cylindrical domains. Journal of Non-Newtonian Fluid Mechanics, 165, 350–361 (2010)

    Article  MATH  Google Scholar 

  4. Fetecau, C., Mahmood, A., and Jamil, M. Exact solutions for the flow of a viscoelastic fluid induced by a circular cylinder subject to a time dependent shear stress. Communication in Non-Linear Science and Numerical Simulation, 15, 3931–3938 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  5. Tan, W. C. and Masuoka, T. Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary. International Journal of Non-Linear Mechanics, 40, 515–522 (2005)

    Article  MATH  Google Scholar 

  6. Merkin, J. H. Natural-convection boundary-layer flow on a vertical surface with Newtonian heating. International Journal of Heat and Fluid Flow, 15, 392–398 (1994)

    Article  Google Scholar 

  7. Lesnic, D., Ingham, B., Pop, I., and Storr, C. Free convection boundary-layer flow above a nearly horizontal surface in a porous medium with Newtonian heating. Heat and Mass Transfer, 40, 665–672 (2009)

    Google Scholar 

  8. Chaudhary, R. C. and Jain, P. Unsteady free convection boundary-layer flow past an impulsively started vertical surface with Newtonian heating. Romanian Journal of Physics, 51, 911–925 (2006)

    Google Scholar 

  9. Salleh, M. Z., Nazar, R., and Pop, I. Forced convection boundary layer flow at a forward stagnation point with Newtonian heating. Chemical Engineering Communications, 196, 987–996 (2009)

    Article  Google Scholar 

  10. Salleh, M. Z., Nazar, R., and Pop, I. Mixed convection boundary layer flow over a horizontal circular cylinder with Newtonian heating. Heat and Mass Transfer, 46, 1411–1418 (2010)

    Article  Google Scholar 

  11. Niu, J., Fu, C., and Tan, W. C. Stability of thermal convection of an Oldroyd-B fluid in a porous medium with Newtonian heating. Physics Letters A, 374, 4607–4613 (2010)

    Article  MATH  Google Scholar 

  12. Abbasbandy, S. and Shirzadi, A. A new application of the homotopy analysis method: solving the Sturm-Liouville problems. Communications in Non-Linear Science and Numerical Simulation, 16, 112–126 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  13. Hayat, T., Awais, M., Qasim, M., and Hendi, A. A. Effects of mass transfer on the stagnation point flow of an upper-convected Maxwell (UCM) fluid. International Journal of Heat and Mass Transfer, 54, 3777–3782 (2011)

    Article  MATH  Google Scholar 

  14. Rashidi, M. M., Domairry, G., and Dinarvand, S. Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method. Communications in Non-Linear Science and Numerical Simulation, 14, 708–717 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Ali.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hayat, T., Ali, S., Awais, M. et al. Newtonian heating in stagnation point flow of Burgers fluid. Appl. Math. Mech.-Engl. Ed. 36, 61–68 (2015). https://doi.org/10.1007/s10483-015-1895-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-015-1895-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Navigation