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chao-dyn1999
The accurate and comprehensive model of thin fluid flows with inertia on curved substrates
A. J. Roberts, Zhenquan Li
Consider the 3D flow of a viscous Newtonian fluid upon a curved 2D substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a compr…
chao-dyn1999
Advection-dispersion in symmetric field-flow fractionation channels
S. A. Suslov, A. J. Roberts
We model the evolution of the concentration field of macromolecules in a symmetric field-flow fractionation (FFF) channel by a one-dimensional advection-diffusion equation. The coe…
chao-dyn1999
Holistic finite differences ensure fidelity to Burger's equation
A. J. Roberts
I analyse a generalised Burger's equation to develop an accurate finite difference approximation to its dynamics. The analysis is based upon centre manifold theory so we are assure…