Finite Volume Scheme for Double Convection-Diffusion Exchange of Solutes in Bicarbonate High-Flux Hollow-Fiber Dialyzer Therapy

Table 3

Geometric and transport characteristics of the hollow-fiber module used.

Parameter (unit)	Notation	Value	Ref.
Diffusion coefficient of CO2 in blood (m^2s^−1)	𝐷CO2,𝑏	3.4×10^−10	[31–33, 35]
Diffusion coefficient of HCO3 in blood (m^2s^−1)	𝐷HCO3,𝑏	1.4×10^−10	[31–33, 35]
CO2 diffusion coefficient in dialysate (m^2s^−1)	𝐷CO2,𝑑	1.59×10^−9	[31–33, 35]
HCO3^− diffusion coefficient in dialysate (m^2s^−1)	𝐷HCO3,𝑑	1.18×10^−9	[31–33, 35]
Membrane effective length (m)	𝐿	0.20	[31]
Hydraulic permeability (m/sPa)	𝐿𝑝	1.15×10^−10	[31]
Width of raise collar (m)	𝐿𝑟	0.014	[31]
Fiber diameter (μm)	𝐿𝑓	200	[31, 39]
Fiber thickness (μm)	𝑒	40	[40]
Number of fibers	𝑁	9000–12000	F60 Model
Membrane permeability of CO2 (ms^−1)	𝑃CO2	1.72×10^−9	[32, 33]
Membrane permeability of HCO3 (ms^−1)	𝑃HCO3^−	1.95×10^−9	[32, 33]
Radius of dialysate channel (m)	𝑟𝑑	1.25×10^−4	[39, 40]
Radius of blood channel (m)	𝑟𝑏	2.0×10^−4	[39, 40]
Initial velocity at blood inlet (ms^−1)	𝑢𝑏	1.73×10^−2	[31, 39, 40]
Initial velocity at dialysate inlet (ms^−1)	𝑢𝑑	1.21×10^−2	[31, 39, 40]