Skip to main content
SpringerLink
Log in

The effect of the thickness of the porous material on the parallel plate channel flow when the walls are provided with non-erodible porous lining

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

Flow through a channel whose walls are lined with non-erodible porous material is investigated using Beavers and Joseph slip boundary condition. It is shown that the effect of porous lining is to increase the mass flow rate and to decrease the friction factor.

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

u :

streamwise velocity in Zone 1 (of Fig. 1 and Fig. 2)

h :

height of the channel

h′ :

thickness of the porous lining

Q :

Darcy velocity

p :

pressure

μ :

viscosity

K :

absolute permeability of the material

α :

slip parameter

ρ :

density

λ :

resistance coefficient

R :

Reynolds number

u B :

slip velocity at the nominal surface

ū :

the average velocity in Zone 1

M 1 :

non-dimensional mass flow rate in Zone 1 (Fig. 1)

M 2 :

non-dimensional mass flow rate in Zone 2 (Fig. 1)

M*:

non-dimensional mass flow rate in the channel without any porous lining

m 1 :

non-dimensional mass flow rate in Zone 1 (Fig. 4)

m 2 :

non-dimensional mass flow rate in Zone 2 (Fig. 4)

m 3 :

non-dimensional mass flow rate in Zone 3 (Fig. 4)

(λR)1 :

the λR-product for flow in Zone 1 (Fig. 1)

(λR)2 :

the λR-product for flow in Zone 1 (Fig. 4)

(λR)* :

the λR-product for flow in the channel of height h without porous lining

References

  1. Beavers, G. S. and D. D. Joseph, J. Fluid Mech. 30 (1967) 197.

    ADS  Google Scholar 

  2. Beavers, G. S., E. M. Sparrow, and R. A. Magnuson, J. Basic Eng. (Trans. ASME) 92, (1970) 843.

    Google Scholar 

  3. Taylor, G. I., J. Fluid Mech. 49, (1971) 319.

    ADS  MATH  Google Scholar 

  4. Richardson, S., J. Fluid Mech. 49 (1971) 327.

    ADS  MATH  Google Scholar 

  5. Rajasekhara, B. M., Ph.D. Thesis, Bangalore Univ., 1974.

  6. Saffmann, P. G., Studies in Appl. Math. 50 (1971) 93.

    Google Scholar 

  7. Rudraiah, N., B. K. Ramaiah, and B. M. Rajasekhara, Int. J. Engg. Sci. 13 (1974) 1.

    Google Scholar 

  8. Chandrasekhara, B. C., Appl. Sci. Res. 31 (1975) 52.

    Article  ADS  MATH  Google Scholar 

  9. Veerabhadraiah, R. and N. Rudraiah, Vignana Bharati (Bangalore University) 1 No. 1 (1975) 52.

    Google Scholar 

  10. Yuvan, S. W., Foundations of Fluid Mechanics, Prentice-Hall of India, New Delhi, 1969, p. 268.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Math, India

    M. N. Channabasappa & K. G. Umapathy

  2. Dept. of Appl. Mech. and Hydr., Karnataka Regional Eng. Coll., P.O. Srinivasnagar, 574157, Suratkal, Karnataka, India

    I. V. Nayak

Authors
  1. M. N. Channabasappa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. G. Umapathy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. V. Nayak
    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

Channabasappa, M.N., Umapathy, K.G. & Nayak, I.V. The effect of the thickness of the porous material on the parallel plate channel flow when the walls are provided with non-erodible porous lining. Appl. Sci. Res. 32, 607–617 (1976). https://doi.org/10.1007/BF00384123

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00384123

Keywords

Search

Navigation