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Home > Notes > Equations > Substantial Derivative of scalar field θ - also known as Total derivative @Wolfram D Dt t =+ V In rectangular coordinates D uvw Dt t x y z θθθ ∂∂∂ + + where V is the fluid velocity field, u is the component of V in the x direction, v is the velocity component in the y direction, and w is the velocity component in the z direction. We encounter the substantial derivatives of the scalar fields of density in the Continuity Equation, and of enthalpy and temperature in the Energy Equation. Substantial Derivative of velocity vector field appears in the Equation of Motion. D Dt t
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