state gov TSPSC Polytechnic Lecturer Mock Test 2022 Fluid Mechanics Fluid Kinematics Continuity Equation
The general equation of continuity of three-dimensional flow of a incompressible fluid of steady flow is
1
\(\frac{{\partial u}}{{\partial x}} + \frac{{\partial v}}{{\partial y}} + \frac{{\partial w}}{{\partial z}} = 0\)
2
\(\frac{{\partial u}}{{\partial x}} = \frac{{\partial v}}{{\partial y}} = \frac{{\partial w}}{{\partial z}} = 0\)
3
\(\frac{{\partial u}}{{\partial x}} + \frac{{\partial v}}{{\partial y}} + \frac{{\partial w}}{{\partial z}} = 1\)
4
\(\frac{{\partial u}}{{\partial x}} + \frac{{\partial v}}{{\partial y}} + \frac{{\partial w}}{{\partial z}} = u.v.w\)