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1. |
Consider an infinitesimally small fluid element with density (of dimensions dx, dy and dz) fixed in space and fluid is moving across this element with a velocity ( vec{V}=u vec{i}+v vec{j}+w vec{k} ). The net mass flow across the fluid element is given by ______ |
A. | ([ frac{ partial( rho u)}{ partial x} + frac{ partial( rho v)}{ partial y} + frac{ partial( rho w)}{ partial z}]dx ,dy ,dz ) |
B. | ([ frac{ partial( rho u)}{ partial x} + frac{ partial( rho v)}{ partial y} + frac{ partial( rho w)}{ partial z}] ) |
C. | [ ]dx dy dz |
D. | ([ frac{ partial( rho)}{ partial x} + frac{ partial( rho)}{ partial y} + frac{ partial( rho)}{ partial z}]dx ,dy ,dz ) |
Answer» B. ([ frac{ partial( rho u)}{ partial x} + frac{ partial( rho v)}{ partial y} + frac{ partial( rho w)}{ partial z}] ) | |