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Incompressible flow primarily means that the density \(\rho \) is a constant. In general, when the flow is isothermal, no dependency between the velocity field and the temperature field exists, which requires also that the dynamic viscosity is a constant. Of course, if the flow field permits temperature variations, for example by heat conduction or by other external heat sources as well as by variations of the viscosity with temperature, a coupling between the fields of velocity and temperature is necessaryNavier-Stokes equations incompressible.

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Incompressible Forms of the Fluid Dynamic Equations

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  • 发表日期：

    2025年

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  • Louise Elisabeth King

摘要

Incompressible flow primarily means that the density \(\rho \) is a constant. In general, when the flow is isothermal, no dependency between the velocity field and the temperature field exists, which requires also that the dynamic viscosity is a constant. Of course, if the flow field permits temperature variations, for example by heat conduction or by other external heat sources as well as by variations of the viscosity with temperature, a coupling between the fields of velocity and temperature is necessaryNavier-Stokes equations incompressible.