Considering a parallelepiped for three dimensional consolidation, the volume of water flowing out of parallelepiped is ______________

Question

TuteeHUB · Accepted Answer

$q_{out}=(V_x+\frac{∂V_x}{∂x}  \frac{dx}{2})dydz-(V_z+\frac{∂V_z}{∂z}  \frac{dz}{2})dxdy$

TuteeHUB · Answer

$q_{out}=(V_x+\frac{∂V_x}{∂x}  \frac{dx}{2})dydz+(V_y+\frac{∂V_y}{∂y}  \frac{dy}{2})dxdz+(V_z+\frac{∂V_z}{∂z}  \frac{dz}{2})dxdy$

TuteeHUB · Answer

$q_{out}=(V_x-\frac{∂V_x}{∂x}  \frac{dx}{2})dydz$

TuteeHUB · Answer

$q_{out}=(V_x-\frac{∂V_x}{∂x}  \frac{dx}{2})dydz-(V_y-\frac{∂V_y}{∂y}  \frac{dy}{2})dxdz+(V_z-\frac{∂V_z}{∂z}  \frac{dz}{2})dxdy$

1.	Considering a parallelepiped for three dimensional consolidation, the volume of water flowing out of parallelepiped is ______________
A.	\(q_{out}=(V_x+\frac{∂V_x}{∂x} \frac{dx}{2})dydz+(V_y+\frac{∂V_y}{∂y} \frac{dy}{2})dxdz+(V_z+\frac{∂V_z}{∂z} \frac{dz}{2})dxdy\)
B.	\(q_{out}=(V_x+\frac{∂V_x}{∂x} \frac{dx}{2})dydz-(V_z+\frac{∂V_z}{∂z} \frac{dz}{2})dxdy\)
C.	\(q_{out}=(V_x-\frac{∂V_x}{∂x} \frac{dx}{2})dydz\)
D.	\(q_{out}=(V_x-\frac{∂V_x}{∂x} \frac{dx}{2})dydz-(V_y-\frac{∂V_y}{∂y} \frac{dy}{2})dxdz+(V_z-\frac{∂V_z}{∂z} \frac{dz}{2})dxdy\)
Answer» B. \(q_{out}=(V_x+\frac{∂V_x}{∂x} \frac{dx}{2})dydz-(V_z+\frac{∂V_z}{∂z} \frac{dz}{2})dxdy\)

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