GATE ME 2004 | Fluid Kinematics Question 33 | Fluid Mechanics

GATE ME 2004

MCQ (Single Correct Answer)

-0.6

A closed cylinder having a radius $$R$$ and height $$H$$ is filled with oil of density $$\rho .$$ If the cylinder is rotated about its axis at an angular velocity of $$\omega $$ , then thrust at the bottom of the cylinder is

$$\pi {R^2}\,\rho gH$$

$$\pi {R^2} + {{\rho {\omega ^2}{R^2}} \over 4}$$

$$\pi {R^2} + \left( {\rho {\omega ^2}\,{R^2} + \rho gH} \right)$$

$$\pi {R^2}\left( {{{\rho {\omega ^2}{R^2}} \over 4} + \rho gH} \right)$$

GATE ME 2001

MCQ (Single Correct Answer)

-0.6

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

Compressible and irrotational

Compressible and not irrotational

Inompressible and

Inompressible and not irrotational

GATE ME 1995

MCQ (Single Correct Answer)

-0.6

The velocity components in the $$x$$ and $$y$$ directions are given by $$u = \lambda x{y^3} - {x^2}y,$$ $$v = x{y^2} - {3 \over 4}{y^4}.$$ The value of $$\lambda $$ for a possible flow field involving an incompressible fluid is

$$ - {3 \over 4}$$

$$ - {4 \over 3}$$

$${4 \over 3}$$

$$3$$

GATE ME 1993

MCQ (Single Correct Answer)

-0.6

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 incompressible flow
(ii) The flow is irrotational
(iii) The flow is steady .

(i) and (iii)

(i) and (ii)

(ii) and (iii)

(i) only

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