Steady flows of nonNewtonian fluids past a porous plate with suction or injection Academic Article uri icon

abstract

  • The problem of the steady flow of three classes of nonlinear fluids of the differential type past a porous plate with uniform suction or injection is studied. The flow which is studied is the counterpart of the classical asymptotic suction problem, within the context of the nonNewtonian fluid models. The nonlinear differential equations resulting from the balance of momentum and mass, coupled with suitable boundary conditions, are solved numerically either by a finite difference method or by a collocation method with a Bspline function basis. The manner in which the various material parameters affect the structure of the boundary layer is delineated. The issue of paucity of boundary conditions for general nonlinear fluids of the differential type, and a method for augmenting the boundary conditions for a certain class of flow problems, is illustrated. A comparison is made of the numerical solutions with the solutions from a regular perturbation approach, as well as a singular perturbation. Copyright 1993 John Wiley & Sons, Ltd

published proceedings

  • International Journal for Numerical Methods in Fluids

author list (cited authors)

  • Mansutti, D., Pontrelli, G., & Rajagopal, K. R.

citation count

  • 31

complete list of authors

  • Mansutti, D||Pontrelli, G||Rajagopal, KR

publication date

  • December 1993

publisher