On internal fluid dynamics

@article{Smith2012OnIF,
  title={On internal fluid dynamics},
  author={Frank T. Smith},
  journal={Bulletin of Mathematical Sciences},
  year={2012},
  volume={2},
  pages={125-180}
}
Motivated by a range of applications (biomedical, industrial, engineering, environmental) this contribution is focussed on a mathematical study of (a) constriction/distortion and (b) branching in a vessel or network of vessels containing fluid flow. The central interest addressed is in medium-to-high Reynolds numbers where asymptotic approaches and matching yield much insight. The main reasoning, order arguments and scaling factors within various parts of the vessels are presented. Theory and… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-2 OF 2 CITATIONS

Magnetohydrodynamic flow in closed channels

VIEW 6 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 95 REFERENCES

Three-dimensional branching flow analysis and computation

N. C. Ovenden, F. T. Smith
  • J. Fluid Mech. (2012,
  • 2012
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

AVM modelling by multi-branching tube flow: large flow rates and dual solutions.

  • Mathematical medicine and biology : a journal of the IMA
  • 2003
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL