Diffusive spreading of time-dependent pressures in elastic microfluidic devices.

@article{Wunderlich2010DiffusiveSO,
  title={Diffusive spreading of time-dependent pressures in elastic microfluidic devices.},
  author={Bernhard K. Wunderlich and Ulrich A. Kle{\ss}inger and Andreas R. Bausch},
  journal={Lab on a chip},
  year={2010},
  volume={10 8},
  pages={
          1025-9
        }
}
Here we show that transient flow of Newtonian fluids in viscoelastic PDMS microfluidic channels can be described by a diffusive pressure spreading mechanism analogous to the electric telegrapher's equation. The pressure diffusion constant D(p) = 1/R(x)C(x) of a channel with length l is determined by the hydrodynamic resistance R(x) and capacitance C(x) per unit length of the channel. l(2)/D(p) sets the timescale for the transmission of pressure steps along the channel and the relaxation after a… 
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