Flow of viscous stratified fluid of variable viscosity past a porous bed

  • M. N. Channabasappa
  • G. Ranganna


To study the effects of stratification and slip velocity on the flow of fluid of variable viscosity over a permeable bed, we divide the flow into two zones called zone 1 and zone 2. Zone 1 pertains to the flow called the free flow governed by the Navier-Stokes equations in the region between the impermeable upper plate and the porous bed.. Zone 2 pertains to the flow in the bed governed by the modified Darcy Law. Using the slip velocity boundary condition, velocity distributions in zones 1 and 2 are obtained and are matched at the interface. The boundary layer thickness just beneath the permeable interface and the friction factor are also obtained.


Mass Flow Rate Friction Factor Boundary Layer Thickness Slip Velocity Slip Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Beavers, G. S. and Joseph, D. D.,J. Fluid Mech. 30 197 (1967).CrossRefGoogle Scholar
  2. 2.
    Beavers, G. S., Sparrow, E. M. and Magnuson, R. A.,Trans. ASME, J. Basic Eng. 92 843 (1970).Google Scholar
  3. 3.
    Prabhamani Patil, R. and Rudraiah, N.,Trans. ASME, J. Appl. Mech. 95 879 (1973).Google Scholar
  4. 4.
    Rajasekhara, B. M., Rudraiah, N. and Ramaiah, B. K.,J. Math and Physi. Sci. I.I.T. Madras,9 (1) 45 (1975).Google Scholar
  5. 5.
    Rajasekhara, B. M., Ph.D. Thesis, Department of Civil Engineering, Bangalore University, Bangalore (1975).Google Scholar
  6. 6.
    Rudraiah, N., Ramaiah, B. K. and Rajasekhara, B. M.,Int. J. Eng. Sci. 13 1 (1975).MATHCrossRefGoogle Scholar
  7. 7.
    Saffman, P. G.,Studies Appl. Math. 50 93 (1971).MATHGoogle Scholar
  8. 8.
    Taylor, G. I.,J. Fluid Mech. 49 (2) 209 (1971).CrossRefGoogle Scholar
  9. 9.
    Veerabhadraiah, R. and Rudraiah, N.,Vignana Bharathi, Bangalore University,1 (1) 52 (1975).Google Scholar

Copyright information

© Indian Academy of Sciences 1976

Authors and Affiliations

  • M. N. Channabasappa
    • 1
  • G. Ranganna
    • 1
    • 2
  1. 1.Department of MathematicsKarnataka Regional Engineering CollegeKarnataka
  2. 2.Department of Applied Mechanics and HydraulicsKarnataka Regional Engineering CollegeKarnataka

Personalised recommendations