Consider the continuity equation \(\frac{\partial\rho}{\partial t}+\nabla.(\rho \vec{V})=0\). For a steady flow this equation becomes ___________

Consider the continuity equation \(\frac{\partial\rho}{\partial t}+\na

1.	Consider the continuity equation \(\frac{\partial\rho}{\partial t}+\nabla.(\rho \vec{V})=0\). For a steady flow this equation becomes ___________
A.	\(\nabla.(\rho \vec{V})=0\)
B.	\(\nabla.(\vec{V})=0\)
C.	\(div(\vec{V})=0\)
D.	\(curl(\vec{V})=0\)
Answer» B.

Discussion

No Comment Found

Related MCQs

Consider the continuity equation \(\frac{\partial\rho}{\partial t}+\nabla.(\rho \vec{V})=0\). For a steady flow this equation becomes ___________
Consider the continuity equation \(\frac{\partial\rho}{\partial t}+\nabla.(\rho \vec{V})=0\). For an incompressible flow, this equation becomes ___________
Consider an infinitesimally small fluid element with density ρ (of dimensions dx, dy and dz with mass δ m and volume δ V) moving along with the flow with a velocity \(\vec{V}=u\vec{i}+v \vec{j}+w\vec{k}\). The continuity equation is \(\frac{D\rho}{Dt}+\rho \nabla.\vec{V}=0\). Where does this second term come from?
Consider an infinitesimally small fluid element with density ρ (of dimensions dx, dy and dz with mass δ m and volume δ V) moving along with the flow with a velocity \(\vec{V}=u\vec{i}+v\vec{j}+w\vec{k}\). What is the time rate of change of mass of this element?
Consider an infinitesimally small fluid element with density ρ (of dimensions dx, dy and dz) fixed in space and fluid is moving across this element with a velocity \(\vec{V}=u\vec{i}+v\vec{j}+w\vec{k}\). What is the final reduced form of net mass flow across the fluid element?
According to the conservation law, “Net mass flow across the fluid element is equal to the rate of change of mass inside the element”. But, stating the final equation, “Net mass flow across the fluid element + the rate of change of mass inside the element = 0”. Why is the operation not subtraction?
Consider an infinitesimally small fluid element with density ρ (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 rate of change in mass of the fluid element is given by ____________
Consider an infinitesimally small fluid element with density ρ (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 ______
Which of the equations suit this model?

Consider the continuity equation \(\frac{\partial\rho}{\partial t}+\nabla.(\rho \vec{V})=0\). For a steady flow this equation becomes ___________

Discussion

No Comment Found

Related MCQs

Reply to Comment