GATE ME 2024 | Fluid Kinematics Question 1 | Fluid Mechanics

GATE ME 2024

MCQ (Single Correct Answer)

-0.33

The velocity field of a two-dimensional, incompressible flow is given by $\overrightarrow{V} = \ 2sin{h}\,x\,\hat{i} + v(x,y)\hat{j}$ where $ \hat{i}$ and $\underset{\dot{}}{j}$ denote the unit vectors in x and y directions, respectively. If $v(x, 0) = cosh\ x$, then $v(0,-1)$ is

GATE ME 2017 Set 1

MCQ (Single Correct Answer)

-0.3

Consider the two-dimensional velocity field given by
$$\overrightarrow V = \left( {5 + {a_1}x + {b_1}y} \right)\widehat i + \left( {4 + {a_2}x + {b_2}y} \right)\widehat j,$$
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?

$${a_1} + {b_1} = 0$$

$${a_1} + {b_2} = 0$$

$${a_2} + {b_2} = 0$$

$${a_2} + {b_1} = 0$$

GATE ME 2016 Set 2

MCQ (Single Correct Answer)

-0.3

The volume tric flow rate (per unit depth) between two streamlines having stream functions $${\psi _1}$$ & $${\psi _2}$$ is

$$\left| {{\psi _1} + {\psi _2}} \right|$$

$${{\psi _1}{\psi _2}}$$

$${{\psi _1}/{\psi _2}}$$

$$\left| {{\psi _1} - {\psi _2}} \right|$$

GATE ME 2016 Set 3

MCQ (Single Correct Answer)

-0.3

For a certain two-dimensional incompressible flow, velocity field is given by $$2xy\widehat i - {y^2}\widehat j.$$ The streamlines for this flow are given by the family of curves

$${x^2}{y^2} = $$ constant

$$x{y^2} = $$ constant

$$2xy - {y^2}$$ $$=$$ constant

$$xy = $$ constant