Mixing displacement of viscoplastic fluids feom a channel with a rectangular cavity
Article
Received:
Abstract
Different mixing displacement regimes for viscoplastic fluids are investigated theoretically and experimentally.
Keywords
Statistical Physic Rectangular Cavity Displacement Regime Viscoplastic Fluid
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.
Notation
- x and y
Cartesian coordinates
- h
half-width of the gap
- H, L
dimensionless depth and length of the cavity
- vx, vy
velocity components
- ρ
density
- τik
components of the viscous stress tensor
- eik
components of the deformation rate tensor
- η
dynamic viscosity
- η∞
dynamic viscosity for infinitely high displacement velocity
- τ0
analog of the limiting shear stress in Bingham's fluid
- W
parameter in Williamson's model
- ν=η/gh∞
dimensionless viscosity
- ψ
stream function
- ϕ
vorticity
- ψ0,ϕ0
distributions ofψ andϕ at the inlet
- r,a, b, and c
auxiliary constants
- C
concentration of the displacing fluid
- D
diffusion coefficient
- Pe
Peclet's number
Preview
Unable to display preview. Download preview PDF.
Literature cited
- 1.A. Kh. Mirzadzhanzade, Improving the Cementing of Oil and Gas Wells [in Russian], Nedra, Moscow (1975).Google Scholar
- 2.S. D. Cramer and J. M. Marchello, AIChE J.,14, No. 6 (1968).Google Scholar
- 3.A. Tom and K. Éiplt, Numerical Calculations of Fields in Engineering and Physics [in Russian], Énergiya, Moscow (1964).Google Scholar
- 4.N. N. Yanenko, Method of Fractional Steps in the Solution of Multidimensional Problems in Mathematical Physics [in Russian], Nauka, Novosibirsk (1967).Google Scholar
Copyright information
© Plenum Publishing Corporation 1981