Submitted:
19 April 2020
Posted:
22 April 2020
Read the latest preprint version here
Abstract
The material derivative is important in continuum physics. This Letter shows that the expression $\frac{d }{dt}=\frac{\partial }{\partial t}$+ (v • ∇), used in most literature and textbooks, is incorrect. The correct expression $ \frac{d (:)}{dt} = \frac{\partial }{\partial t}$(:) + v · [∇(:)] is formulated.
Keywords:
material derivative
; continuum physics
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