Thermal Variables#

\(\Theta\)

501

entropy

\(P\)

502

pressure

\(\Theta'\)

503

entropy_p

\(P'\)

504

pressure_p

\(\overline{\Theta}\)

505

entropy_m

\(\overline{P}\)

506

pressure_m

\(\frac{\partial \Theta}{\partial r}\)

507

entropy_dr

\(\frac{\partial P}{\partial r}\)

508

pressure_dr

\(\frac{\partial \Theta'}{\partial r}\)

509

entropy_p_dr

\(\frac{\partial P'}{\partial r}\)

510

pressure_p_dr

\(\frac{\partial \overline{\Theta}}{\partial r}\)

511

entropy_m_dr

\(\frac{\partial \overline{P}}{\partial r}\)

512

pressure_m_dr

\(\frac{\partial \Theta}{\partial \theta}\)

513

entropy_dtheta

\(\frac{\partial P}{\partial \theta}\)

514

pressure_dtheta

\(\frac{\partial \Theta'}{\partial \theta}\)

515

entropy_p_dtheta

\(\frac{\partial P'}{\partial \theta}\)

516

pressure_p_dtheta

\(\frac{\partial \overline{\Theta}}{\partial \theta}\)

517

entropy_m_dtheta

\(\frac{\partial \overline{P}}{\partial \theta}\)

518

pressure_m_dtheta

\(\frac{\partial \Theta}{\partial \phi}\)

519

entropy_dphi

\(\frac{\partial P}{\partial \phi}\)

520

pressure_dphi

\(\frac{\partial \Theta'}{\partial \phi}\)

521

entropy_p_dphi

\(\frac{\partial P'}{\partial \phi}\)

522

pressure_p_dphi

\(\frac{\partial \overline{\Theta}}{\partial \phi}\)

523

entropy_m_dphi

\(\frac{\partial \overline{P}}{\partial \phi}\)

524

pressure_m_dphi

\(\frac{1}{r}\frac{\partial \Theta}{\partial \theta}\)

525

entropy_dtr

\(\frac{1}{r}\frac{\partial P}{\partial \theta}\)

526

pressure_dtr

\(\frac{1}{r}\frac{\partial \Theta'}{\partial \theta}\)

527

entropy_p_dtr

\(\frac{1}{r}\frac{\partial P'}{\partial \theta}\)

528

pressure_p_dtr

\(\frac{1}{r}\frac{\partial \overline{\Theta}}{\partial \theta}\)

529

entropy_m_dtr

\(\frac{1}{r}\frac{\partial \overline{P}}{\partial \theta}\)

530

pressure_m_dtr

\(\frac{1}{r\mathrm{sin}\theta} \frac{\partial \Theta}{\partial \phi}\)

531

entropy_dprs

\(\frac{1}{r\mathrm{sin}\theta} \frac{\partial P}{\partial \phi}\)

532

pressure_dprs

\(\frac{1}{r\mathrm{sin}\theta} \frac{\partial \Theta'}{\partial \phi}\)

533

entropy_p_dprs

\(\frac{1}{r\mathrm{sin}\theta} \frac{\partial P'}{\partial \phi}\)

534

pressure_p_dprs

\(\frac{1}{r\mathrm{sin}\theta} \frac{\partial \overline{\Theta}}{\partial \phi}\)

535

entropy_m_dprs

\(\frac{1}{r\mathrm{sin}\theta} \frac{\partial \overline{P}}{\partial \phi}\)

536

pressure_m_dprs

\(\frac{\partial^2 \Theta}{\partial r^2}\)

537

entropy_d2r

\(\frac{\partial^2 P}{\partial r^2}\)

538

pressure_d2r

\(\frac{\partial^2 \Theta'}{\partial r^2}\)

539

entropy_p_d2r

\(\frac{\partial^2 P'}{\partial r^2}\)

540

pressure_p_d2r

\(\frac{\partial^2 \overline{\Theta}}{\partial r^2}\)

541

entropy_m_d2r

\(\frac{\partial^2 \overline{P}}{\partial r^2}\)

542

pressure_m_d2r

\(\frac{\partial^2 \Theta}{\partial \theta^2}\)

543

entropy_d2t

\(\frac{\partial^2 P}{\partial \theta^2}\)

544

pressure_d2t

\(\frac{\partial^2 \Theta'}{\partial \theta^2}\)

545

entropy_p_d2t

\(\frac{\partial^2 P'}{\partial \theta^2}\)

546

pressure_p_d2t

\(\frac{\partial^2 \overline{\Theta}}{\partial \theta^2}\)

547

entropy_m_d2t

\(\frac{\partial^2 \overline{P}}{\partial \theta^2}\)

548

pressure_m_d2t

\(\frac{\partial^2 \Theta}{\partial \phi^2}\)

549

entropy_d2p

\(\frac{\partial^2 P}{\partial \phi^2}\)

550

pressure_d2p

\(\frac{\partial^2 \Theta'}{\partial \phi^2}\)

551

entropy_p_d2p

\(\frac{\partial^2 P'}{\partial \phi^2}\)

552

pressure_p_d2p

\(\frac{\partial^2 \overline{\Theta}}{\partial \phi^2}\)

553

entropy_m_d2p

\(\frac{\partial^2 \overline{P}}{\partial \phi^2}\)

554

pressure_m_d2p

\(\frac{\partial^2 \Theta}{\partial r \partial \theta}\)

555

entropy_d2rt

\(\frac{\partial^2 P}{\partial r \partial \theta}\)

556

pressure_d2rt

\(\frac{\partial^2 \Theta'}{\partial r \partial \theta}\)

557

entropy_p_d2rt

\(\frac{\partial^2 P'}{\partial r \partial \theta}\)

558

pressure_p_d2rt

\(\frac{\partial^2 \overline{\Theta}}{\partial r \partial \theta}\)

559

entropy_m_d2rt

\(\frac{\partial^2 \overline{P}}{\partial r \partial \theta}\)

560

pressure_m_d2rt

\(\frac{\partial^2 \Theta}{\partial r \partial \phi}\)

561

entropy_d2rp

\(\frac{\partial^2 P}{\partial r \partial \phi}\)

562

pressure_d2rp

\(\frac{\partial^2 \Theta'}{\partial r \partial \phi}\)

563

entropy_p_d2rp

\(\frac{\partial^2 P'}{\partial r \partial \phi}\)

564

pressure_p_d2rp

\(\frac{\partial^2 \overline{\Theta}}{\partial r \partial \phi}\)

565

entropy_m_d2rp

\(\frac{\partial^2 \overline{P}}{\partial r \partial \phi}\)

566

pressure_m_d2rp

\(\frac{\partial^2 \Theta}{\partial \theta \partial \phi}\)

567

entropy_d2tp

\(\frac{\partial^2 P}{\partial \theta \partial \phi}\)

568

pressure_d2tp

\(\frac{\partial^2 \Theta'}{\partial \theta \partial \phi}\)

569

entropy_p_d2tp

\(\frac{\partial^2 P'}{\partial \theta \partial \phi}\)

570

pressure_p_d2tp

\(\frac{\partial^2 \overline{\Theta}}{\partial \theta \partial \phi}\)

571

entropy_m_d2tp

\(\frac{\partial^2 \overline{P}}{\partial \theta \partial \phi}\)

572

pressure_m_d2tp

\(\frac{\partial}{\partial r} \left( \frac{P}{\hat{\rho}}\right)\)

573

rhopressure_dr

\(\frac{\partial}{\partial r} \left( \frac{P'}{\hat{\rho}}\right)\)

574

rhopressurep_dr

\(\frac{\partial}{\partial r} \left( \frac{\overline{P}}{\hat{\rho}}\right)\)

575

rhopressurem_dr