Skip to main content
. Author manuscript; available in PMC: 2013 May 7.
Published in final edited form as: Lab Chip. 2012 Mar 14;12(9):1686–1695. doi: 10.1039/c2lc21156d

Table 1.

Equations employed for performing the computational study. Note that I∈{o,b}, where ‘o’ denotes the oxygen chamber and ‘b’ denotes the blood chamber, and ‘p’ denotes the PDMS layer.

Number Name Equation Applicable domain(s)
(1) Continuity equation
ρi(·ui)=0
Oxygen and blood chambers
(2) Momentum equation
ρi(ui·)ui=Pi+·(μiui)
Oxygen and blood chambers
(3) Carreau model
μb=μb+(μ0bμb)[1+(λγ.b)2](n1)2
Blood chamber
(4) Convection-Diffusion equation
ui·Ci=Di2Ci
Oxygen and blood chambers
(5) Diffusion equation
DP2Cp=0
PDMS layer