search
Log In
0 votes

Consider the two-dimensional velocity field given by $\overrightarrow{V}=(5+a_{1}x+b_{1}y)\hat{i}+(4+a_{2}x+b_{2}y)\hat{j}$, where $a_{1}, b_{1}, a_{2}$ and $b_{2}$ are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?

  1. $a_{1}+b_{1}=0$
  2. $a_{1}+b_{2}=0$
  3. $a_{2}+b_{2}=0$
  4. $a_{2}+b_{1}=0$
in Fluid Mechanics 24.6k points
recategorized by

Please log in or register to answer this question.

Answer:

Related questions

0 votes
0 answers
For a steady flow, the velocity field is $\vec{V}=(-x^{2}+3y)\hat{i}+(2xy)\hat{j}$. The magnitude of the acceleration of a particle at $(1, -1)$ is $2$ $1$ $2\sqrt{5}$ $0$
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
0 votes
0 answers
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, $f=K(Re)^{-n}$, where $K$ and ... $\left ( \dfrac{d_{2}}{d_{1}} \right )^{(5+n)}$
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
0 votes
0 answers
The velocity profile inside the boundary layer for flow over a flat plate is given as $\dfrac{u}{U_{\infty }}= \sin \left ( \dfrac{\Pi }{2}\dfrac{y}{\delta } \right )$, where $U_{\infty}$ is the free stream velocity and $\delta$ is the local boundary layer thickness. If $\delta^{*}$ is the local ... $\dfrac{2}{\Pi } \\$ $1-\dfrac{2}{\Pi } \\$ $1+\dfrac{2}{\Pi } \\$ $0$
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
0 votes
0 answers
Which one of the following is NOT a rotating machine? Centrifugal pump Gear pump Jet pump Vane pump
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
0 votes
0 answers
Water (density $= 1000 kg/m^{3}$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $1 kg/s$. If the pressure drop across the pipe is $100$ KPa, the minimum power required to pump the water across the pipe, in watts, is ______.
asked Feb 27, 2017 in Fluid Mechanics Arjun 24.6k points
...