GATE ME 2006 | Fluid Kinematics Question 27 | Fluid Mechanics

GATE ME 2006

MCQ (Single Correct Answer)

-0.3

A two-dimensional flow field has velocities along the $$x$$ and $$y$$ directions given by $$u = {x^2}t$$ and $$v = - 2xyt$$ respectively, where $$t$$ is time. The equation of streamline is

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

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

$$x$$ $$y$$ $$=$$ constant

not possible to determine

GATE ME 2006

MCQ (Single Correct Answer)

-0.3

In a two-dimensional velocity field with velocities $$u$$ and $$v$$ along $$x$$ and $$y$$ directions respectively, the convective acceleration along the $$x$$-direction is given by

$$u{{\partial u} \over {\partial x}} + v{{\partial u} \over {\partial y}}$$

$$u{{\partial u} \over {\partial x}} + v{{\partial v} \over {\partial y}}$$

$$u{{\partial v} \over {\partial x}} + v{{\partial u} \over {\partial y}}$$

$$v{{\partial u} \over {\partial x}} + u{{\partial u} \over {\partial y}}$$

GATE ME 2005

MCQ (Single Correct Answer)

-0.3

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 to

$${{\partial v} \over {\partial x}}$$

$$ - {{\partial v} \over {\partial x}}$$

$${{\partial v} \over {\partial y}}$$

$$ - {{\partial v} \over {\partial y}}$$

GATE ME 2004

MCQ (Single Correct Answer)

-0.3

A fluid flow is represented by the velocity field $$\overrightarrow V = ax\,\overrightarrow i + ay\,\overrightarrow j ,$$ where a constant . The equation of stream line passing through a point $$(1, 2)$$ is

$$x-2y=0$$

$$2x+y=0$$

$$2x-y=0$$

$$x+2y=0$$

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