Thermal Energy Equation
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=================================================================================================================================================================================================================================================================================== ====== ===================== 
 :math:`\mathrm{f}_1\mathrm{f}_4\boldsymbol{v}\cdot\boldsymbol{\nabla}\Theta`                                                                                                                                                                                                        1401    rhotv\_grad\_s   
 :math:`\mathrm{f}_1\mathrm{f}_4\boldsymbol{v'}\cdot\boldsymbol{\nabla}\Theta'`                                                                                                                                                                                                      1402    rhotvp\_grad\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\boldsymbol{v'}\cdot\boldsymbol{\nabla}\overline{\Theta}`                                                                                                                                                                                            1403    rhotvp\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\overline{\Theta}`                                                                                                                                                                                  1404    rhotvm\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\overline{\boldsymbol{v}}\cdot\boldsymbol{\nabla}\Theta'`                                                                                                                                                                                            1405    rhotvm\_grad\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4v_r\frac{\partial s}{\partial r}`                                                                                                                                                                                                                    1406    rhotvr\_grad\_s   
 :math:`\mathrm{f}_1\mathrm{f}_4v_r'\frac{\partial \Theta'}{\partial r}`                                                                                                                                                                                                             1407    rhotvpr\_grad\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4v_r'\frac{\partial \overline{\Theta}}{\partial r}`                                                                                                                                                                                                   1408    rhotvpr\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\overline{v_r}\frac{\partial \overline{\Theta}}{\partial r}`                                                                                                                                                                                         1409    rhotvmr\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\overline{v_r}\frac{\partial \Theta'}{\partial r}`                                                                                                                                                                                                   1410    rhotvmr\_grad\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{v_\theta}{r}\frac{\partial \Theta}{\partial \theta}`                                                                                                                                                                                           1411    rhotvt\_grad\_s   
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{v_\theta'}{r}\frac{\partial \Theta'}{\partial \theta}`                                                                                                                                                                                         1412    rhotvpt\_grad\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{v_\theta'}{r}\frac{\partial \overline{\Theta}}{\partial \theta}`                                                                                                                                                                               1413    rhotvpt\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{\overline{v_\theta}}{r}\frac{\partial \overline{\Theta}}{\partial \theta}`                                                                                                                                                                     1414    rhotvmt\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{\overline{v_\theta}}{r}\frac{\partial \Theta'}{\partial \theta}`                                                                                                                                                                               1415    rhotvmt\_grad\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{v_\phi}{r \mathrm{sin}\theta}\frac{\partial \Theta}{\partial \phi}`                                                                                                                                                                            1416    rhotvp\_grad\_s   
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{v_\phi'}{r \mathrm{sin}\theta}\frac{\partial \Theta'}{\partial \phi}`                                                                                                                                                                          1417    rhotvpp\_grad\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{v_\phi'}{r \mathrm{sin}\theta}\frac{\partial \overline{\Theta}}{\partial \phi}`                                                                                                                                                                1418    rhotvpp\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{\overline{v_\phi}}{r \mathrm{sin}\theta}\frac{\partial \overline{\Theta}}{\partial \phi}`                                                                                                                                                      1419    rhotvmp\_grad\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\frac{\overline{v_\phi}}{r \mathrm{sin}\theta}\frac{\partial \Theta'}{\partial \phi}`                                                                                                                                                                1420    rhotvmp\_grad\_sp 
 :math:`-c_6\boldsymbol{\nabla}\cdot\boldsymbol{F}_{cond}`                                                                                                                                                                                                                           1421    s\_diff  
 :math:`-c_6\boldsymbol{\nabla}\cdot\boldsymbol{F'}_{cond}`                                                                                                                                                                                                                          1422    sp\_diff 
 :math:`-c_6\boldsymbol{\nabla}\cdot\boldsymbol{\overline{F}}_{cond}`                                                                                                                                                                                                                1423    sm\_diff 
 :math:`c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\left(\frac{\partial^2 \Theta}{\partial r^2}+\frac{\partial \Theta}{\partial r}\left[\frac{2}{r}+\frac{\mathrm{d}}{\mathrm{dr}}\mathrm{ln}\left\{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\right\} \right]\right)`                         1424    s\_diff\_r 
 :math:`c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\left(\frac{\partial^2 \Theta'}{\partial r^2}+\frac{\partial \Theta'}{\partial r}\left[\frac{2}{r}+\frac{\mathrm{d}}{\mathrm{dr}}\mathrm{ln}\left\{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\right\} \right]\right)`                       1425    sp\_diff\_r 
 :math:`c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\left(\frac{\partial^2 \overline{\Theta}}{\partial r^2}+\frac{\partial \overline{\Theta}}{\partial r}\left[\frac{2}{r}+\frac{\mathrm{d}}{\mathrm{dr}}\mathrm{ln}\left\{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\right\} \right]\right)`   1426    sm\_diff\_r 
 :math:`c_6\frac{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5}{r^2}\left(\frac{\partial^2 \Theta}{\partial \theta^2}+\mathrm{cot}\theta\frac{\partial s}{\partial\theta}\right)`                                                                                                             1427    s\_diff\_theta 
 :math:`c_6\frac{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5}{r^2}\left(\frac{\partial^2 \Theta'}{\partial \theta^2}+\mathrm{cot}\theta\frac{\partial \Theta'}{\partial\theta}\right)`                                                                                                      1428    sp\_diff\_theta 
 :math:`c_6\frac{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5}{r^2}\left(\frac{\partial^2 \overline{\Theta}}{\partial \theta^2}+\mathrm{cot}\theta\frac{\partial \overline{\Theta}}{\partial\theta}\right)`                                                                                  1429    sm\_diff\_theta 
 :math:`c_6\frac{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5}{r^2\mathrm{sin^2}\theta}\frac{\partial^2 \Theta}{\partial \phi^2}`                                                                                                                                                            1430    s\_diff\_phi 
 :math:`c_6\frac{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5}{r^2\mathrm{sin^2}\theta}\frac{\partial^2 \Theta'}{\partial \phi^2}`                                                                                                                                                           1431    sp\_diff\_phi 
 :math:`c_6\frac{\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5}{r^2\mathrm{sin^2}\theta}\frac{\partial^2 \overline{\Theta}}{\partial \phi^2}`                                                                                                                                                 1432    sm\_diff\_phi 
 :math:`F_Q(r)`                                                                                                                                                                                                                                                                      1433    vol\_heat\_flux 
 :math:`\mathrm{f}_6(r)`                                                                                                                                                                                                                                                             1434    vol\_heating   
 :math:`c_5\Phi(r,\theta,\phi)`                                                                                                                                                                                                                                                      1435    visc\_heating 
 :math:`\mathrm{f}_7c_4\left( {\boldsymbol{\mathcal{J}'}}\cdot{\boldsymbol{\mathcal{J}'}} \right)`                                                                                                                                                                                   1436    ohmic\_heat    
 :math:`\mathrm{f}_7c_4\left( {\boldsymbol{\mathcal{J}'}}\cdot{\boldsymbol{\mathcal{J}'}} \right)`                                                                                                                                                                                   1437    ohmic\_heat\_pp 
 :math:`\mathrm{f}_7c_4\left( \overline{\boldsymbol{\mathcal{J}}}\cdot\overline{\boldsymbol{\mathcal{J}}} \right)`                                                                                                                                                                   1438    ohmic\_heat\_pm 
 :math:`\mathrm{f}_7c_4\left( \overline{\boldsymbol{\mathcal{J}}}\cdot{\boldsymbol{\mathcal{J}'}} \right)`                                                                                                                                                                           1439    ohmic\_heat\_mm 
 :math:`\mathrm{f}_1\mathrm{f}_4v_r\Theta`                                                                                                                                                                                                                                           1440    rhot\_vr\_s 
 :math:`\mathrm{f}_1\mathrm{f}_4v_r'\Theta'`                                                                                                                                                                                                                                         1441    rhot\_vrp\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4v_r'\overline{\Theta}`                                                                                                                                                                                                                               1442    rhot\_vrp\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\,\overline{v_r}\Theta'`                                                                                                                                                                                                                             1443    rhot\_vrm\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\,\overline{v_r}\,\overline{\Theta}`                                                                                                                                                                                                                 1444    rhot\_vrm\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4v_\theta \Theta`                                                                                                                                                                                                                                     1445    rhot\_vt\_s   
 :math:`\mathrm{f}_1\mathrm{f}_4v_\theta'\Theta'`                                                                                                                                                                                                                                    1446    rhot\_vtp\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4v_\theta'\overline{\Theta}`                                                                                                                                                                                                                          1447    rhot\_vtp\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\,\overline{v_\theta}\Theta'`                                                                                                                                                                                                                        1448    rhot\_vtm\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\,\overline{v_\theta}\,\overline{\Theta}`                                                                                                                                                                                                            1449    rhot\_vtm\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4v_\phi \Theta`                                                                                                                                                                                                                                       1450    rhot\_vp\_s   
 :math:`\mathrm{f}_1\mathrm{f}_4v_\phi'\Theta'`                                                                                                                                                                                                                                      1451    rhot\_vpp\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4v_\phi'\overline{\Theta}`                                                                                                                                                                                                                            1452    rhot\_vpp\_sm 
 :math:`\mathrm{f}_1\mathrm{f}_4\,\overline{v_\phi}\Theta'`                                                                                                                                                                                                                          1453    rhot\_vpm\_sp 
 :math:`\mathrm{f}_1\mathrm{f}_4\,\overline{v_\phi}\,\overline{\Theta}`                                                                                                                                                                                                              1454    rhot\_vpm\_sm 
 :math:`c_P \mathrm{f}_1 v_r T`                                                                                                                                                                                                                                                      1455    enth\_flux\_r     
 :math:`c_P \mathrm{f}_1 v_\theta T`                                                                                                                                                                                                                                                 1456    enth\_flux\_theta 
 :math:`c_P \mathrm{f}_1 v_\phi T`                                                                                                                                                                                                                                                   1457    enth\_flux\_phi   
 :math:`c_P \mathrm{f}_1 v_r' T'`                                                                                                                                                                                                                                                    1458    enth\_flux\_rpp     
 :math:`c_P \mathrm{f}_1 v_\theta' T'`                                                                                                                                                                                                                                               1459    enth\_flux\_thetapp 
 :math:`c_P \mathrm{f}_1 v_\phi' T'`                                                                                                                                                                                                                                                 1460    enth\_flux\_phipp   
 :math:`c_P \mathrm{f}_1 v_r'\, \overline{T}`                                                                                                                                                                                                                                        1461    enth\_flux\_rpm     
 :math:`c_P \mathrm{f}_1 v_\theta'\, \overline{T}`                                                                                                                                                                                                                                   1462    enth\_flux\_thetapm 
 :math:`c_P \mathrm{f}_1 v_\phi'\, \overline{T}`                                                                                                                                                                                                                                     1463    enth\_flux\_phipm   
 :math:`c_P \mathrm{f}_1\, \overline{v_r}\, T'`                                                                                                                                                                                                                                      1464    enth\_flux\_rmp     
 :math:`c_P \mathrm{f}_1\, \overline{v_\theta}\, T'`                                                                                                                                                                                                                                 1465    enth\_flux\_thetamp 
 :math:`c_P \mathrm{f}_1\, \overline{v_\phi}\, T'`                                                                                                                                                                                                                                   1466    enth\_flux\_phimp   
 :math:`c_P \mathrm{f}_1\, \overline{v_r}\, \overline{T}`                                                                                                                                                                                                                            1467    enth\_flux\_rmm     
 :math:`c_P \mathrm{f}_1\, \overline{v_\theta}\, \overline{T}`                                                                                                                                                                                                                       1468    enth\_flux\_thetamm 
 :math:`c_P \mathrm{f}_1\, \overline{v_\phi}\, \overline{T}`                                                                                                                                                                                                                         1469    enth\_flux\_phimm   
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{\partial \Theta}{\partial r}`                                                                                                                                                                                                  1470    cond\_flux\_r     
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{1}{r}\frac{\partial \Theta}{\partial \theta}`                                                                                                                                                                                  1471    cond\_flux\_theta 
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{1}{r \mathrm{sin}\theta}\frac{\partial \Theta}{\partial \phi}`                                                                                                                                                                 1472    cond\_flux\_phi   
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{\partial \Theta'}{\partial r}`                                                                                                                                                                                                 1473    cond\_fluxp\_r     
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{1}{r}\frac{\partial \Theta'}{\partial \theta}`                                                                                                                                                                                 1474    cond\_fluxp\_theta 
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{1}{r \mathrm{sin}\theta}\frac{\partial \Theta'}{\partial \phi}`                                                                                                                                                                1475    cond\_fluxp\_phi   
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{\partial \overline{\Theta}}{\partial r}`                                                                                                                                                                                       1476    cond\_fluxm\_r     
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{1}{r}\frac{\partial \overline{\Theta}}{\partial \theta}`                                                                                                                                                                       1477    cond\_fluxm\_theta 
 :math:`-c_6\mathrm{f}_1\mathrm{f}_4\mathrm{f}_5\frac{1}{r \mathrm{sin}\theta}\frac{\partial \overline{\Theta}}{\partial \phi}`                                                                                                                                                      1478    cond\_fluxm\_phi   
 :math:`\mathrm{f}_1\mathrm{f}_4 v_r \mathrm{f}_{14}`                                                                                                                                                                                                                                1479    ref\_advec        
 :math:`\mathrm{f}_1\mathrm{f}_4 v_r' \mathrm{f}_{14}`                                                                                                                                                                                                                               1480    ref\_advec\_p      
 :math:`\mathrm{f}_1\mathrm{f}_4 \overline{v_r} \mathrm{f}_{14}`                                                                                                                                                                                                                     1481    ref\_advec\_m      
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