The convective derivative is a derivative taken with respect to a moving coordinate system. It is also called the advective derivative, derivative following the motion, hydrodynamic derivative, Lagrangian derivative, material derivative, particle derivative, substantial derivative, substantive derivative (Tritton 1989), Stokes derivative (Kaplan 1991, pp. 189-191), or total derivative. It is given by
See alsoConvective Operator, Derivative, Euler's Equations of Inviscid Motion, Navier-Stokes Equations, Vector Derivative, Velocity
Explore with Wolfram|Alpha
ReferencesBatchelor, G. K. An Introduction to Fluid Dynamics. Cambridge, England: Cambridge University Press, p. 73, 1977.Kaplan, W. Advanced Calculus, 4th ed. Reading, MA: Addison-Wesley, 1991.Tritton, D. J. "The Substantive Derivative." §5.5 in Physical Fluid Dynamics, 2nd ed. Oxford, England: Clarendon Press, pp. 53-55, 1989.
Referenced on Wolfram|AlphaConvective Derivative
Cite this as:
Weisstein, Eric W. "Convective Derivative." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConvectiveDerivative.html