Skip to main content
Log in

Mixed convection boundary layer flow over a horizontal elliptic cylinder with constant heat flux

  • Published:
Zeitschrift für angewandte Mathematik und Physik Aims and scope Submit manuscript

Abstract

Mixed convection boundary layer flow of a viscous fluid over a horizontal elliptic cylinder with a constant heat flux is investigated numerically. The governing partial differential equations are transformed to non-dimensional form and then are solved by an efficient implicit finite different scheme known as Keller-box method. The solutions are expressed in the form of skin friction and Nusselt number, which are plotted against the eccentric angle. The effect of pertinent parameters such as mixed convection parameter, aspect ratio (ratio of lengths of minor axis to major axis), and Prandtl number on skin friction and Nusselt number are illustrated through graphs for both blunt and slender orientations. The increase in the value of mixed convection parameter results in increase in skin friction coefficient and Nusselt number for blunt as well as slender orientations.

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. Lin F.N., Chao B.T.: Laminar free convection over two dimensional and axisymmetric bodies of arbitrary contour. J. Heat Transf. ASME Ser. C 96, 435–442 (1974)

    Article  Google Scholar 

  2. Merkin J.H.: Mixed convection from a horizontal circular cylinder. Int. J. Heat Mass Transf. 20, 73–77 (1977)

    Article  Google Scholar 

  3. Merkin J.H.: Free convection boundary layers on cylinders of elliptic cross section. J. Heat Transf. 99, 453–457 (1977)

    Article  Google Scholar 

  4. Badr H.M.: A theoretical study of laminar mixed convection from horizontal cylinder in a cross stream. Int. J. Heat Mass Transf. 27, 639–653 (1983)

    Article  Google Scholar 

  5. Aldoss T.K., Ali Y.D., Al-Nimr M.A.: MHD mixed convection from a horizontal circular cylinder. Num. Heat Transf. Part A 30, 379–396 (1996)

    Article  Google Scholar 

  6. Bhatacharyya S., Pop I.: Free convection from cylinder of elliptic cross section in micropolar fluids. Int. J. Eng. Sci. 34, 1301–1310 (1996)

    Article  Google Scholar 

  7. Hossain M.A., Alim M.A., Rees D.: Effect of thermal radiation on natural convection over cylinders of elliptic cross section. Acta Mech. 42, 177–186 (1998)

    Article  Google Scholar 

  8. Nazar R., Amin N., Pop I.: Mixed convection boundary layer flow from a horizontal circular cylinder with a constant surface heat flux. Heat Mass Transf. 40, 219–227 (2004)

    Article  Google Scholar 

  9. Ahmad S., Arifin N.M., Nazar R., Pop I.: Free convection boundary layer flow over cylinders of elliptic cross section with constant surface heat flux. Eur. J. Sci. Res. 23, 613–625 (2008)

    Google Scholar 

  10. Cheng C-Y.: Natural convection boundary layer on a horizontal elliptical cylinder with constant heat flux and internal heat generation. Int. Comm. Heat Mass Transf. 36, 1025–1029 (2009)

    Article  Google Scholar 

  11. Kasim A.R.M., Mohammad N.F., Shafie S., Pop I.: Constant heat flux solution for mixed convection boundary layer viscoelastic fluid. Heat Mass Transf. 49, 163–171 (2013)

    Article  Google Scholar 

  12. Cebeci T., Bradshaw P.: Physical and Computational Aspects of Convective Heat Transfer. Springer, New York (1984)

    Book  MATH  Google Scholar 

  13. Keller H.B., Cebeci T.: Numerical methods in boundary layer theory. Annual Rev. Fluid Mech. 10, 417–433 (1978)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hussain Ahmad.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Javed, T., Ahmad, H. & Ghaffari, A. Mixed convection boundary layer flow over a horizontal elliptic cylinder with constant heat flux. Z. Angew. Math. Phys. 66, 3393–3403 (2015). https://doi.org/10.1007/s00033-015-0570-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00033-015-0570-6

Mathematics Subject Classification

Keywords

Navigation