GATE ME 2012 | Question: 40

Andrijana3306 asked Mar 19, 2018 • recategorized Mar 3, 2021 by Lakshman Bhaiya

A large tank with a nozzle attached contains three immiscible, inviscid fluid as shown. Assuming that the changes in $h_1, h_2$ and $h_3$ are negligible, the instantaneous discharge velocity is

$\sqrt{2gh_3 \Big( 1+ \frac{\rho_1}{\rho_3} \: \frac{h_1}{h_3} + \frac{\rho_2}{\rho_3} \: \frac{h_2}{h_3} \Big)} \\$
$\sqrt{2g(h_1+h_2+h_3)} \\$
$\sqrt{2g \Big( \frac{\rho_1 h_1 + \rho_2 h_2 + \rho_3 h_3}{ \rho_1 + \rho_2 +\rho_3 } \Big)} \\ $
$\sqrt{2g \Big( \frac{\rho_1 h_2 h_3 + \rho_2 h_3h_1 + \rho_3 h_1h_2}{ \rho_1 h_1 + \rho_2 h_2 + \rho_3 h_3} \Big) }$

Andrijana3306 asked Mar 19, 2018 • recategorized Mar 3, 2021 by Lakshman Bhaiya

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GATE ME 2012 | Question: 30
An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is $1$ mm at a location where the Reynolds number is $1000$. If the velocity of the fluid alone is increased by a factor of $4$, then the boundary layer thickness at the same location, in mm will be $4$ $2$ $0.5$ $0.25$

An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is $1$ mm at a location where the Reynolds number is $1000$. If ...

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GATE ME 2012 | Question: 19
An ideal gas of mass $m$ and temperature $T_1$ undergoes a reversible isothermal process from an initial pressure $P_1$ to final pressure $P_2$. The hear loss during the process is $Q$. The entropy change $\Delta S$ ... $mR \: \ln \bigg( \dfrac{P_2}{P_1} \bigg) - \dfrac{Q}{T_1} \\$ $\text{zero}$

An ideal gas of mass $m$ and temperature $T_1$ undergoes a reversible isothermal process from an initial pressure $P_1$ to final pressure $P_2$. The hear loss during the ...

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GATE ME 2012 | Question: 17
The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. $V$ denotes the absolute velocity of the fluid, $W$ denotes the relative velocity of the fluid and $U$ denotes the blade velocity. Subscripts $1$ and $2$ refer to inlet and outlet respectively. If $V_2 =W_1$ and $V_1=W_2$, then the degree of reaction is $0$ $1$ $0.5$ $0.25$

The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. $V$ denotes the absolute velocity of the fluid, $W$ denotes the relative velocity o...

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GATE ME 2012 | Question: 10
A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by $1 \%$ and the thickness is reduced by $1 \%$ with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is $0$ $1$ $1.08$ $2.02$

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by $1 \%$ and the thickness is reduced by $1 \%$ with the inte...

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GATE ME 2012 | Question: 5
Oil flows through a $200$ mm diameter horizontal cast iron pipe (friction factor, $f=0.0225$) of length $500 m$. The volumetric flow rate is $0.2 \: m^3/s$. The head loss (in m) due to friction is (assume $g=9.81 m/s^2$) $116.18$ $0.116$ $18.22$ $232.36$

Oil flows through a $200$ mm diameter horizontal cast iron pipe (friction factor, $f=0.0225$) of length $500 m$. The volumetric flow rate is $0.2 \: m^3/s$. The head loss...

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