Curl Momentum Equation ==================================================================== ===================================================================================================================================================================== ====== ======================================= :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]\right]_r` 1301 curl\_v\_grad\_v\_r :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]\right]_\theta` 1302 curl\_v\_grad\_v\_theta :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]\right]_\phi` 1303 curl\_v\_grad\_v\_phi :math:`\left(\left[\nabla\times\left(\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]\right)\right]_r\right)^2` 1304 curl\_v\_grad\_v\_r\_squared :math:`\left(\left[\nabla\times\left(\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]\right)\right]_\theta\right)^2` 1305 curl\_v\_grad\_v\_theta\_squared :math:`\left(\left[\nabla\times\left(\mathrm{f}_1\left[\boldsymbol{v}\cdot\boldsymbol{\nabla}\boldsymbol{v}\right]\right)\right]_\phi\right)^2` 1306 curl\_v\_grad\_v\_phi\_squared :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]\right]_r` 1307 curl\_vp\_grad\_vm\_r :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]\right]_\theta` 1308 curl\_vp\_grad\_vm\_theta :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]\right]_\phi` 1309 curl\_vp\_grad\_vm\_phi :math:`\left[\nabla\times\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\right]_r` 1310 curl\_vm\_grad\_vp\_r :math:`\left[\nabla\times\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\right]_\theta` 1311 curl\_vm\_grad\_vp\_theta :math:`\left[\nabla\times\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\right]_\phi` 1312 curl\_vm\_grad\_vp\_phi :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\right]_r` 1313 curl\_vp\_grad\_vp\_r :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\right]_\theta` 1314 curl\_vp\_grad\_vp\_theta :math:`\left[\nabla\times\mathrm{f}_1\left[\boldsymbol{v'}\cdot\boldsymbol{\nabla}\boldsymbol{v'}\right]\right]_\phi` 1315 curl\_vp\_grad\_vp\_phi :math:`\left[\nabla\times\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]\right]_r` 1316 curl\_vm\_grad\_vm\_r :math:`\left[\nabla\times\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]\right]_\theta` 1317 curl\_vm\_grad\_vm\_theta :math:`\left[\nabla\times\mathrm{f}_1\left[\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\boldsymbol{v}}\right]\right]_\phi` 1318 curl\_vm\_grad\_vm\_phi :math:`\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\Theta\right)\right]_\theta` 1319 curl\_buoyancy\_force\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\Theta\right)\right]_\phi` 1320 curl\_buoyancy\_force\_phi :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\Theta\right)\right]_\theta\right)^2` 1321 curl\_buoyancy\_force\_theta\_squared :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\Theta\right)\right]_\phi\right)^2` 1322 curl\_buoyancy\_force\_phi\_squared :math:`\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\overline{\Theta}\right)\right]_\theta` 1323 curl\_buoyancy\_pforce\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\overline{\Theta}\right)\right]_\phi` 1324 curl\_buoyancy\_pforce\_phi :math:`\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\Theta'\right)\right]_\theta` 1325 curl\_buoyancy\_mforce\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_2\mathrm{f}_2\Theta'\right)\right]_\phi` 1326 curl\_buoyancy\_mforce\_phi :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v})\right)\right]_r` 1327 curl\_coriolis\_force\_r :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v})\right)\right]_\theta` 1328 curl\_coriolis\_force\_theta :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v})\right)\right]_\phi` 1329 curl\_coriolis\_force\_phi :math:`\left(\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v})\right)\right]_r\right)^2` 1330 curl\_coriolis\_force\_r\_squared :math:`\left(\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v})\right)\right]_\theta\right)^2` 1331 curl\_coriolis\_force\_theta\_squared :math:`\left(\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v})\right)\right]_\phi\right)^2` 1332 curl\_coriolis\_force\_phi\_squared :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v}')\right)\right]_r` 1333 curl\_coriolis\_pforce\_r :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v}')\right)\right]_\theta` 1334 curl\_coriolis\_pforce\_theta :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\boldsymbol{v}')\right)\right]_\phi` 1335 curl\_coriolis\_pforce\_phi :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\overline{\boldsymbol{\hat{v}}})\right)\right]_r` 1336 curl\_coriolis\_mforce\_r :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\overline{\boldsymbol{\hat{v}}})\right)\right]_\theta` 1337 curl\_coriolis\_mforce\_theta :math:`\left[\boldsymbol{\nabla}\times\left(-c_1\mathrm{f}_1(\hat{\boldsymbol{z}}\times\overline{\boldsymbol{\hat{v}}})\right)\right]_\phi` 1338 curl\_coriolis\_mforce\_phi :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D})\right)\right]_r` 1339 curl\_viscous\_force\_r :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D})\right)\right]_\theta` 1340 curl\_viscous\_force\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D})\right)\right]_\phi` 1341 curl\_viscous\_force\_phi :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D})\right)\right]_r\right)^2` 1342 curl\_viscous\_force\_r\_squared :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D})\right)\right]_\theta\right)^2` 1343 curl\_viscous\_force\_theta\_squared :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D})\right)\right]_\phi\right)^2` 1344 curl\_viscous\_force\_phi\_squared :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D'})\right)\right]_r` 1345 curl\_viscous\_pforce\_r :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D'})\right)\right]_\theta` 1346 curl\_viscous\_pforce\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\boldsymbol{\mathcal D'})\right)\right]_\phi` 1347 curl\_viscous\_pforce\_phi :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal D}})\right)\right]_r` 1351 curl\_viscous\_mforce\_r :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal D}})\right)\right]_\theta` 1352 curl\_viscous\_mforce\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_5\,(\boldsymbol{\nabla}\cdot\overline{\boldsymbol{\mathcal D}})\right)\right]_\phi` 1353 curl\_viscous\_mforce\_phi :math:`\left[\nabla\times\nabla P\right]_r` 1357 curl\_pressure\_force\_r :math:`\left[\nabla\times\nabla P\right]_\theta` 1358 curl\_pressure\_force\_theta :math:`\left[\nabla\times\nabla P\right]_\phi` 1359 curl\_pressure\_force\_phi :math:`\left[\nabla\times\nabla P\right]_r^2` 1360 curl\_pressure\_force\_r\_squared :math:`\left[\nabla\times\nabla P\right]_\theta^2` 1361 curl\_pressure\_force\_theta\_squared :math:`\left[\nabla\times\nabla P\right]_\phi^2` 1362 curl\_pressure\_force\_phi\_squared :math:`\left[\nabla\times\nabla P\right]_r` 1363 curl\_pressure\_pforce\_r :math:`\left[\nabla\times\nabla P\right]_\theta` 1364 curl\_pressure\_pforce\_theta :math:`\left[\nabla\times\nabla P\right]_\phi` 1365 curl\_pressure\_pforce\_phi :math:`\left[\nabla\times\nabla P\right]_r` 1366 curl\_pressure\_mforce\_r :math:`\left[\nabla\times\nabla P\right]_\theta` 1367 curl\_pressure\_mforce\_theta :math:`\left[\nabla\times\nabla P\right]_\phi` 1368 curl\_pressure\_mforce\_phi :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B)\times\boldsymbol B\right)\right)\right]_r` 1369 curl\_j\_cross\_b\_r :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B)\times\boldsymbol B\right)\right)\right]_\theta` 1370 curl\_j\_cross\_b\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B)\times\boldsymbol B\right)\right)\right]_\phi` 1371 curl\_j\_cross\_b\_phi :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B)\times\boldsymbol B\right)\right)\right]_r\right)^2` 1372 curl\_j\_cross\_b\_r\_squared :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B)\times\boldsymbol B\right)\right)\right]_\theta\right)^2` 1373 curl\_j\_cross\_b\_theta\_squared :math:`\left(\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B)\times\boldsymbol B\right)\right)\right]_\phi\right)^2` 1374 curl\_j\_cross\_b\_phi\_squared :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B')\times\overline{\boldsymbol B}\right)\right)\right]_r` 1375 curl\_jp\_cross\_bm\_r :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B')\times\overline{\boldsymbol B}\right)\right)\right]_\theta` 1376 curl\_jp\_cross\_bm\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B')\times\overline{\boldsymbol B}\right)\right)\right]_\phi` 1377 curl\_jp\_cross\_bm\_phi :math:`\left[\boldsymbol{\nabla}\times c_4\left((\boldsymbol{\nabla}\times\overline{\boldsymbol B})\times\boldsymbol B'\right)\right]_r` 1378 curl\_jm\_cross\_bp\_r :math:`\left[\boldsymbol{\nabla}\times c_4\left((\boldsymbol{\nabla}\times\overline{\boldsymbol B})\times\boldsymbol B'\right)\right]_\theta` 1379 curl\_jm\_cross\_bp\_theta :math:`\left[\boldsymbol{\nabla}\times c_4\left((\boldsymbol{\nabla}\times\overline{\boldsymbol B})\times\boldsymbol B'\right)\right]_\phi` 1380 curl\_jm\_cross\_bp\_phi :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B')\times\boldsymbol B'\right)\right)\right]_r` 1381 curl\_jm\_cross\_bm\_r :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B')\times\boldsymbol B'\right)\right)\right]_\theta` 1382 curl\_jm\_cross\_bm\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\boldsymbol B')\times\boldsymbol B'\right)\right)\right]_\phi` 1383 curl\_jm\_cross\_bm\_phi :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\overline{\boldsymbol B})\times\overline{\boldsymbol B}\right)\right)\right]_r` 1384 curl\_jp\_cross\_bp\_r :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\overline{\boldsymbol B})\times\overline{\boldsymbol B}\right)\right)\right]_\theta` 1385 curl\_jp\_cross\_bp\_theta :math:`\left[\boldsymbol{\nabla}\times\left(c_4\left((\boldsymbol{\nabla}\times\overline{\boldsymbol B})\times\overline{\boldsymbol B}\right)\right)\right]_\phi` 1386 curl\_jp\_cross\_bp\_phi ===================================================================================================================================================================== ====== 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