Considering a parallelepiped for three dimensional consolidation, the volume of water flowing into parallelepiped is __________

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TuteeHUB · Accepted Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

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

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

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