Table 1 Nomenclature of collision set-ups for sph-ell and ell-ell collisions.
From: A granular mechanics model study of the influence of non-spherical shape on aggregate collisions
Set-up nomenclature | Collision type | Orientation of the ellipsoidal aggregate(s) |
|---|---|---|
\({\hat{\varvec{c}}}\perp {\varvec{v}}\) | sph-ell | \(\hat{\varvec{c}}\) is perpendicular to \(\varvec{v}\) |
\({\hat{\varvec{c}}}45^{\circ }{\varvec{v}}\) | sph-ell | \(\hat{\varvec{c}}\) is at an angle of \(45^{\circ }\) to \(\varvec{v}\) |
\({\hat{\varvec{c}}}\parallel {\varvec{v}}\) | sph-ell | \(\hat{\varvec{c}}\) is parallel to \(\varvec{v}\) |
\({\hat{\varvec{c}}_{1}}\parallel {\hat{\varvec{c}}_{2}}\parallel {\varvec{v}}\) | ell-ell | \(\hat{\varvec{c}}_{1}\) and \(\hat{\varvec{c}}_{2}\) are parallel to each other, and also parallel to \(\varvec{v}\) |
\(({\hat{\varvec{c}}_{1}}\parallel {\hat{\varvec{c}}_{2}})\perp {\varvec{v}}\) | ell-ell | \(\hat{\varvec{c}}_{1}\) and \(\hat{\varvec{c}}_{2}\) are parallel to each other, but perpendicular to \(\varvec{v}\) |
\(({\hat{\varvec{c}}_{1}}\parallel {\varvec{v}})\perp {\hat{\varvec{c}}_{2}}\) | ell-ell | \(\hat{\varvec{c}}_{1}\) is parallel to \(\varvec{v}\), but perpendicular to \(\hat{\varvec{c}}_{2}\) |
\({\hat{\varvec{c}}_{1}}\perp {\hat{\varvec{c}}_{2}}\perp {\varvec{v}}\) | ell-ell | \(\hat{\varvec{c}}_{1}\), \(\hat{\varvec{c}}_{2}\) and \(\varvec{v}\) are all perpendicular to each other |
