Expand the substantial derivative Dρ/Dt.

Question

McqOptions · Accepted Answer

McqOptions · Answer

$\frac{D\rho}{Dt}=\frac{d\rho}{dt}+u \frac{d\rho}{dx}+v\frac{d\rho}{dy}+w\frac{d\rho}{dz}$

McqOptions · Answer

$\frac{D\rho}{Dt}=\frac{\partial\rho}{\partial t}+u \frac{d\rho}{dy}+v\frac{d\rho}{dz}+w\frac{d\rho}{dx}$

McqOptions · Answer

$\frac{D\rho}{Dt}=\frac{d\rho}{dz}+u\frac{\partial \rho}{\partial y}+v\frac{\partial \rho}{\partial z}+w \frac{\partial \rho}{\partial t}$

McqOptions · Answer

$\frac{D\rho}{Dt}=\frac{\partial \rho}{\partial t}+u\frac{\partial \rho}{\partial x}+v\frac{\partial \rho}{\partial y}+w \frac{\partial \rho}{\partial z}$

1.	Expand the substantial derivative Dρ/Dt.
A.	\(\frac{D\rho}{Dt}=\frac{d\rho}{dt}+u \frac{d\rho}{dx}+v\frac{d\rho}{dy}+w\frac{d\rho}{dz}\)
B.	\(\frac{D\rho}{Dt}=\frac{\partial\rho}{\partial t}+u \frac{d\rho}{dy}+v\frac{d\rho}{dz}+w\frac{d\rho}{dx}\)
C.	\(\frac{D\rho}{Dt}=\frac{d\rho}{dz}+u\frac{\partial \rho}{\partial y}+v\frac{\partial \rho}{\partial z}+w \frac{\partial \rho}{\partial t}\)
D.	\(\frac{D\rho}{Dt}=\frac{\partial \rho}{\partial t}+u\frac{\partial \rho}{\partial x}+v\frac{\partial \rho}{\partial y}+w \frac{\partial \rho}{\partial z}\)
Answer» E.

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Expand the substantial derivative Dρ/Dt.