The Flow of Power-Law Fluids in Axisymmetric Corrugated Tubes
arXiv:1006.2521 · doi:10.1016/j.petrol.2011.08.006
Abstract
In this article we present an analytical method for deriving the relationship between the pressure drop and flow rate in laminar flow regimes, and apply it to the flow of power-law fluids through axially-symmetric corrugated tubes. The method, which is general with regards to fluid and tube shape within certain restrictions, can also be used as a foundation for numerical integration where analytical expressions are hard to obtain due to mathematical or practical complexities. Five converging-diverging geometries are used as examples to illustrate the application of this method.
16 pages, 5 figures
References in corpus (3)
Cited by in corpus (7)
- Newtonian Flow in Converging-Diverging Capillaries
- Using Euler-Lagrange Variational Principle to Obtain Flow Relations for Generalized Newtonian Fluids
- Comparing Poiseuille with 1D Navier-Stokes Flow in Rigid and Distensible Tubes and Networks
- Flow of non-Newtonian Fluids in Converging-Diverging Rigid Tubes
- Flow of Navier-Stokes Fluids in Converging-Diverging Distensible Tubes
- Flow of Navier-Stokes Fluids in Cylindrical Elastic Tubes
- Methods for Calculating the Pressure Field in the Tube Flow