irrotational flow

Consider a velocity field $\vec{V} = 3z\hat{i} + 0\hat{j} + Cx \hat{k}$, where C is a constant. If the flow is irrotational, the value of C is _________ (rounded off to 1 decimal p...

Consider a velocity field $\vec{V}=3 z \hat{i}+0 \hat{j}+C x \hat{k}$, where $C$ is a constant. if the flow is irrotational, the value of C is ________ (rounded off to 1 decimal pl...

The velocity field of a certain two-dimensional flow is given by V(𝑥, 𝑦) = 𝑘(𝑥𝑖̂ − 𝑦𝑗̂) where 𝑘 = 2 s -1 . The coordinates 𝑥 and 𝑦 are in meters. Assume gravitational eff...

The velocity field in a fluid is given to be $\vec{V}=(4xy)\hat{i}+2(x^2-y^2)\hat{j}$ Which of the following statement(s) is/are correct?

For a two-dimensional incompressible flow field given by $\vec{u} = A(x\hat{i} - y \hat{j})$, where A > 0, which one of the following statements is FALSE?

You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following three flow choices. Expressed in terms of the two - dimensiona...

The velocity components in the $$x$$ and $$y$$ directions of a two dimensional potential flow are $$u$$ and $$v$$, respectively. Then $${{\partial u} \over {\partial y}}$$ is equal...

The $$2$$ - $$D$$ flow with, velocity $$\overrightarrow v = \left( {x + 2y + 2} \right)\overrightarrow i + \left( {4 - y} \right)\overrightarrow j $$ is

A velocity field is given as $$$\overrightarrow V = 3{x^2}y\widehat i - 6xyz\widehat k$$$ Where $$x,y,z$$ are in $$m$$ and $$V$$ $$m/s.$$ Determine if (i) It represents an incompre...