Angular Momentum Equation
Angular Momentum Equation#
\(r\,\mathrm{sin}\theta\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]_\phi\) |
1801 |
samom_advec_pp |
\(r\,\mathrm{sin}\theta\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]_\phi\) |
1802 |
samom_advec_mm |
\(-c_1\mathrm{f}_1r\mathrm{sin}\theta \left(\mathrm{cos}\theta\, v_\theta + \mathrm{sin}\theta\, v_r\right)\) |
1803 |
samom_coriolis |
\(r\,\mathrm{sin}\theta\left[\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal{D}}}\right]_\phi\) |
1804 |
samom_diffusion |
\(r\,\mathrm{sin}\theta c_4\left[\left(\boldsymbol{\nabla}\times\overline{\boldsymbol{B}}\right)\times\overline{\boldsymbol{B}}\right]_\phi\) |
1805 |
samom_lorentz_mm |
\(r\,\mathrm{sin}\theta c_4\left[\left(\boldsymbol{\nabla}\times\boldsymbol{B'}\right)\times\boldsymbol{B'}\right]_\phi\) |
1806 |
samom_lorentz_pp |
\(\mathrm{f}_1r\mathrm{sin}\theta v'_r v'_\phi\) |
1807 |
famom_fluct_r |
\(\mathrm{f}_1r\mathrm{sin}\theta v'_\theta v'_\phi\) |
1808 |
famom_fluct_theta |
\(\mathrm{f}_1r\mathrm{sin}\theta\, \overline{v_r}\,\, \overline{v_\phi}\) |
1809 |
famom_dr_r |
\(\mathrm{f}_1r\mathrm{sin}\theta\, \overline{v_\theta}\,\, \overline{v_\phi}\) |
1810 |
famom_dr_theta |
\(\frac{c_1}{2}\mathrm{f}_1r^2\mathrm{sin}^2\theta\, \overline{v_r}\) |
1811 |
famom_mean_r |
\(\frac{c_1}{2}\mathrm{f}_1r^2\mathrm{sin}^2\theta\, \overline{v_\theta}\) |
1812 |
famom_mean_theta |
\(\mathrm{f}_1\nu\mathrm{sin}\theta\left(v_\phi-r\frac{\partial\,\overline{v_\phi}}{\partial r} \right)\) |
1813 |
famom_diff_r |
\(\mathrm{f}_1\nu\left(\mathrm{cos}\theta\, \overline{v_\phi}-\mathrm{sin}\theta\frac{\partial\, \overline{v_\phi}}{\partial \theta}\right)\) |
1814 |
famom_diff_theta |
\(-r\mathrm{sin}\theta c_4\,B'_r\,B'_\phi\) |
1815 |
famom_maxstr_r |
\(-r\mathrm{sin}\theta c_4\,B'_\theta\,B'_\phi\) |
1816 |
famom_maxstr_theta |
\(-r\mathrm{sin}\theta c_4\,\overline{B_r}\,\overline{B_\phi}\) |
1817 |
famom_magtor_r |
\(-r\mathrm{sin}\theta c_4\,\overline{B_\theta}\,\overline{B_\phi}\) |
1818 |
famom_magtor_theta |
\(\mathrm{f}_1r\mathrm{sin}\theta v_\phi\) |
1819 |
amom_z |
\(\mathrm{f}_1r(-\mathrm{sin}\theta v_\phi - \mathrm{cos}\phi v_\theta)\) |
1820 |
amom_x |
\(\mathrm{f}_1r(-\mathrm{cos}\theta v_\phi + \mathrm{cos}\phi v_\theta)\) |
1821 |
amom_y |
\(\mathrm{f}_1r\mathrm{sin}\theta v_\phi'\) |
1822 |
amomp_z |
\(\mathrm{f}_1r(-\mathrm{sin}\theta v_\phi' - \mathrm{cos}\phi v_\theta')\) |
1823 |
amomp_x |
\(\mathrm{f}_1r(-\mathrm{cos}\theta v_\phi' + \mathrm{cos}\phi v_\theta')\) |
1824 |
amomp_y |
\(\mathrm{f}_1r\mathrm{sin}\theta \overline{v_\phi}\) |
1825 |
amomm_z |
\(\mathrm{f}_1r(-\mathrm{sin}\theta \overline{v_\phi} - \mathrm{cos}\phi \overline{v_\theta'}\) |
1826 |
amomm_x |
\(\mathrm{f}_1r(-\mathrm{cos}\theta\overline{v_\phi} + \mathrm{cos}\phi \overline{v_\theta})\) |
1827 |
amomm_y |