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Resistive and Viscous Magnetohydrodynamics: Dimensionless Numbers, Heating, and Key Properties
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Executive Summary
This document covers the formulation of viscous and resistive magnetohydrodynamics (MHD) in dimensionless form. It introduces key dimensionless parameters such as the Reynolds number, magnetic Reynolds number, Lundquist number, and magnetic Prandtl number as ratios of physical effects and timescales. It also addresses non-ideal effects including flux freezing violation, Ohmic and viscous heating, and core properties of resistive MHD systems.
Analysis Confidence: High
ST_CODE: EALMHD
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DOC-AY253_04
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Page 1 of 12
Viscosity. . . it's such a drag!
• Viscosity transports momentum between parts of the fluid that are in relative motion
• Viscosity results from particle collisions
• The momentum equation with viscosity is given by
ρ(∂/∂t + V · ∇)V = (J × B)/c − ∇p + ρν∇²V (13)
Here, ν is the kinematic viscosity
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This document covers the formulation of viscous and resistive magnetohydrodynamics (MHD) in dimensionless form. It introduces key dimensionless parameters such as the Reynolds number, magnetic Reynolds number, Lundquist number, and magnetic Prandtl number as ratios of physical effects and timescales...