Table 1.

Material parameters and values used for numerical implementation of the benchmark problem and simulations with marrow

Parameter	Simulation of benchmark		Simulations with bone and marrow
(Unit)	Value	Source	Value	Source
${\mu }_{Lam\acute{e}}$ (GPa)	28.2	Properties of Aluminium 6101	3.85	Properties of bone (Wu et al. 2018)
${\lambda }_{Lam\acute{e}}$ (GPa)	54.7		5.77
${\mu }_0^C$ (Pa s)	1930	Using rheometer and injections through syringe and cannula without foam	1930	Same as in benchmark experiment
${\mu }_{\infty }^C$ (Pa s)	1.93		1.93
${\lambda }_{\mathit{rh}}^C$ (s)	1.38		1.38
$n_{\mathit{rh}}^C$ (-)	0.30		0.30
${\mu }^{\mathit{MR}}$ (Pa s)	1.8$\times {10}^{-5}$	Viscosity of air (at ${25}^{\circ }$C)	–	Gurkan and Akkus (2008); Davis and Praveen (2006); Jansen et al. (2015); Metzger et al. (2014)
${\mu }_0^M$ (Pa s)	–		1000–0.1
${\mu }_{\infty }^M$ (Pa s)	–		100–0.01
${\lambda }_{\mathit{rh}}^M$ (s)	–		10
$n_{\mathit{rh}}^M$ (-)	–		0.5
${\lambda }_{\mathit{bc}}$ (-)	3	$\mu$CT imaging and pore-network modelling	3	Same as in benchmark experiment
$n^F$ (-)	0.92		0.92
$K^S$ (m${}^2$)	2.1$\times {10}^{-9}$		2.1$\times {10}^{-9}$
$R_{\mathit{char}}$ (mm)	0.32		0.32