Skip to main content
SpringerLink
Log in

Free convection and mass transfer effects on the oscillatory flow of a dissipative fluid past an infinite vertical porous plate (I)

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

The effects of free convection and mass transfer on the oscillatory flow of an incompressible, dissipative, viscous fluid past an infinite vertical, porous plate with constant suction, is studied. The solution of the problem is obtained with assumption that there exists a “mean steady flow” and on it superimposed the unsteady oscillatory flow. The mean steady flow is studied in this paper and the effects of Grashof number (Gr), modified Grashof number(Gc), Eckert number(E) and Schmidt number(Sc) are discussed for the case of air (P = 0·71). The study of the expression of the unsteady parts of the velocity, temperature and related quantities will be given in a subsequent paper.

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

C :

non-dimensional species concentration

C p :

specific heat of the fluid at constant pressure

D :

chemical molecular diffusivity

E :

Eckert number

g :

gravitational acceleration

G r :

Grashof number

G c :

modified Grashof number

k :

thermal conductivity

P :

Prandtl number

S c :

Schmidt number

t * :

time

θ :

temperature

u * :

velocity component inx'-direction

U * :

free-stream velocity

U 0 :

mean free-stream velocity

ν * :

velocity component iny′-direction

ν0 :

suction velocity

x * :

co-ordinate axis along the plate

y * :

co-ordinate axis normal to the plate

β * :

volumetric coefficient of thermal expansion

β *1 :

volumetric coefficient of expansion with concentration

μ :

viscosity of the fluid

v :

kinematic viscosity of the fluid

θ :

density of the fluid

References

  1. Gebhart B., Pera L.: Int. J. Heat Mass Trans.14 (1971) 2025.

    Google Scholar 

  2. Lighthill M. J.: Proc. R. Soc. A224 (1954) 1.

    Google Scholar 

  3. Soundalgekar V. M.: Proc. Indian Acad. Sci.84 A (1976) 194.

    Google Scholar 

  4. Sparrow E. M., Minkowycz J. J., Eckert E. R. G.: J. Heat Trans. ASME86 C (1964) 508.

    Google Scholar 

  5. Stuart J. T.: Proc. R. Soc. A231 (1955) 116.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanics, University of Patras, Patras, Greece

    G. A. Georgantopoulos, N. D. Nanousis, N. G. Kafousias & G. A. Katsiaris

Authors
  1. G. A. Georgantopoulos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. D. Nanousis
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. G. Kafousias
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. G. A. Katsiaris
    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

Georgantopoulos, G.A., Nanousis, N.D., Kafousias, N.G. et al. Free convection and mass transfer effects on the oscillatory flow of a dissipative fluid past an infinite vertical porous plate (I). Czech J Phys 31, 865–875 (1981). https://doi.org/10.1007/BF01603781

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01603781

Keywords

Search

Navigation