B, n, and p denote magnetic field strength, particle number density, and pressure, respectively. γ is the adiabatic index. The integral is taken over the full length of a flux tube with a small cross section. In ideal MHD convection, these quantities are conserved. A) Pinpoint the detailed assumptions of “ideal MHD convection”; B) With the ideal MHD assumption, prove that V, N, and H are conserved.

B, n, and p denote magnetic field strength, particle number density, and pressure, respectively. γ is the adiabatic index. The integral is taken over the full length of a flux tube with a small cross section. In ideal MHD convection, these quantities are conserved. A) Pinpoint the detailed assumptions of “ideal MHD convection”; B) With the ideal MHD assumption, prove that V, N, and H are conserved.

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