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	$${\rho }^{\mathbf{i}}(\nabla ·{\mathbf{u}}^{\mathbf{i}})=0$$	Oxygen and blood chambers
(2)	Momentum equation	$${\rho }^{\mathbf{i}}({\mathbf{u}}^{\mathbf{i}}·\nabla ){\mathbf{u}}^{\mathbf{i}}=-\nabla {\text{P}}^{\mathbf{i}}+\nabla ·\left({\mu }^{\mathbf{i}}\nabla {\mathbf{u}}^{\mathbf{i}}\right)$$	Oxygen and blood chambers
(3)	Carreau model	$${\mu }^{\mathbf{b}}={\mu }_{\infty }^{\mathbf{b}}+\left({\mu }_0^{\mathbf{b}}-{\mu }_{\infty }^{\mathbf{b}}\right){\left[1+{(\lambda {\stackrel{.}{\gamma }}^{\mathbf{b}})}^2\right]}^{\frac{(\text{n}-1)}{2}}$$	Blood chamber
(4)	Convection-Diffusion equation	$${\mathbf{u}}^{\mathbf{i}}·\nabla {\text{C}}^{\mathbf{i}}={\text{D}}^{\mathbf{i}}{\nabla }^2{\text{C}}^{\mathbf{i}}$$	Oxygen and blood chambers
(5)	Diffusion equation	$${\text{D}}^{\mathbf{P}}{\nabla }^2{\text{C}}^{\mathbf{p}}=0$$	PDMS layer