Skip to main content
SpringerLink
Log in

Heat transfer from a continuous surface in a parallel free stream of viscoelastic fluid

  • Original Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The effect of uniform suction or injection on flow and heat transfer from a continuous surface in a parallel free stream of viscoelastic second-order fluid is investigated. A perturbation method is used to obtain solutions for the transformed governing equations. The velocity profiles, temperature profiles, skin friction parameters and heat transfer parameters are computed for various values of the suction/injection parameter, λ.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

f :

dimensionless stream function

h :

heat transfer coefficient (W/m2K)

k :

thermal conductivity of the fluid (W/mK)

K :

elasticity parameter

L:

characteristic length (m)

Nu:

Nusselt

Pr:

Prandtl number

q w :

surface heat flux (W/m2)

R :

dimensionless surface mass transfer parameter

Re:

Reynolds number

T:

temperature (K)

\(\bar U_r \) :

reference velocity (m/s)

\(\bar u\) :

velocity inx-direction (m/s)

v :

velocity iny-direction (m/s)

x, y :

coordinate parallel and normal to the plate (m)

θ:

dimensionless temperature

μ:

dynamic viscosity (Ns/m2)

ν:

kinematic viscosity (m2/s)

ϱ:

density of fluid (kg/m3)

λ:

velocity ratio

η:

dimensionless coordinate

ψ:

stream function

w :

surface condition

∞:

condition far away from the surface

References

  1. Sakiadis, B. C.: Boundary layer behavior on continuous solid surfaces: I. Boundary layer equations for two dimensional and axisymmetric flow. AIChE J.7, 26–28 (1961).

    Google Scholar 

  2. Sakiadis, B. C.: Boundary layer behavior on continuous solid surfaces: Part II. The boundary layer on a continuous flat surface. AIChE J.7, 221–226 (1961).

    Google Scholar 

  3. Tsou, F. K., Sparrow, E. M., Goldstein, R. J.: Flow and heat transfer in the boundary layer on a continuous moving surface. Int. J. Heat Mass Transfer10, 219–236 (1969).

    Google Scholar 

  4. Crane, L. J.: Flow past a stretching sheet. ZAMP21, 645–647 (1970).

    Google Scholar 

  5. Fox, V. G., Erickson, L. E., Fan, L. T.: The laminar boundary layer on a moving continuous flat plate immersed in a non-Newtonian fluid. AIChE J.15, 327–333 (1969).

    Google Scholar 

  6. Rajagopal, K. R., Na, T. Y., Gupta, A. S.: Flow of viscoelastic fluid over a stretching sheet. Rheol. Acta23, 213–215 (1984).

    Google Scholar 

  7. Siddappa, B., Abel, M. S.: Visco-elastic boundary layer flow past a stretching plate with suction and heat transfer. Rheol. Acta25, 319–320 (1986).

    Google Scholar 

  8. Soundalgekar, V. M., Takhar, H. T.: Flow of micropolar fluid past a continuous moving plate. Int. J. Eng. Sci.21, 961–996 (1983).

    Google Scholar 

  9. Gorla, R. S. R., Ameri, A.: Boundary layer flow of a micropolar fluid on a continuous moving cylinder. Acta Mech.57, 203–214 (1985).

    Google Scholar 

  10. Hassanien, I. A.: Flow and heat transfer from a continuous surface in a parallel free stream of viscoelastic second-order fluid. Appl. Sci. Res.49, 335–344 (1992).

    Google Scholar 

Download references

Author information

Author notes

  1. F. M. Hady

    Present address: Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

  2. R. S. R. Gorla

    Present address: Department of Mechanical Engineering, 44115, Cleveland, Cleveland State University, Ohio, U.S.A.

Authors and Affiliations

    Authors
    1. F. M. Hady
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. R. S. R. Gorla
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Hady, F.M., Gorla, R.S.R. Heat transfer from a continuous surface in a parallel free stream of viscoelastic fluid. Acta Mechanica 128, 201–208 (1998). https://doi.org/10.1007/BF01251890

    Download citation

    • Received:

    • Revised:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01251890

    Keywords

    Search

    Navigation