GATE ME 2004 | Fluid Kinematics Question 32 | 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 2004

MCQ (Single Correct Answer)

-0.6

For a fluid flow through a divergent pipe of length $$L$$ having inlet and outlet radii of $${R_1}$$ and $${R_2}$$ respectively and a constant flow rate of $$Q,$$ assuming the velocity to be axial and uniform at any cross- section , the acceleration at the exit is

$${{2Q\left( {{R_1} - {R_2}} \right)} \over {\pi LR_2^3}}$$

$${{2{Q^2}\left( {{R_1} - {R_2}} \right)} \over {\pi LR_2^3}}$$

$${{2{Q^2}\left( {{R_1} - {R_2}} \right)} \over {{\pi ^2}L{R_2}^5}}$$

$${{2{Q^2}\left( {{R_2} - {R_1}} \right)} \over {{\pi ^2}L{R_2}^5}}$$

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

$$ - {3 \over 4}$$

$$ - {4 \over 3}$$

$${4 \over 3}$$

$$3$$

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