Most viewed questions in Fluid Mechanics and Thermal Sciences / GO Mechanical

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GATE2018-2-45
A test is conducted on a one-fifth scale model of a Francis turbine under a head of $2 \: m$ and volumetric flow rate of $1 \: m^3/s$ at $450 \: rpm$. Take the water density and the acceleration due to gravity as $10^3 \: kg/m^3$ ... prototype turbines. The power (in MW) of a full sized turbine while working under a head of $30 \: m$ is _______ (correct to two decimal places)

A test is conducted on a one-fifth scale model of a Francis turbine under a head of $2 \: m$ and volumetric flow rate of $1 \: m^3/s$ at $450 \: rpm$. Take the water dens...

Arjun

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Arjun asked Feb 17, 2018

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GATE ME 2012 | Question: 50
A refrigerator operates between $120$ kPa and $800$ kPa in an ideal vapor compression cycle with $R-134a$ ... at which heat is extracted, in Kj/s from the refrigerated space is $28.3$ $42.9$ $34.4$ $14.6$

A refrigerator operates between $120$ kPa and $800$ kPa in an ideal vapor compression cycle with $R-134a$ as the refrigerant. The refrigerant renters the compressor as sa...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE2017 ME-2: 39
The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. If the manometric fluid is water (density $1000 \: kg/m^{3}$) and the velocity $V$ is $20 m/s$, the differential head $h$ (in mm) between the two arms of the manometer is __________.

The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. ...

Arjun

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Arjun asked Feb 26, 2017

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GATE2017 ME-1: 38
Heat is generated uniformly in a long solid cylindrical rod (diameter$=10$ mm) at the rate of $4 \times 10^{7} W/m^{3}$. The thermal conductivity of the rod material is $25 W/m.K$. Under steady state conditions, the temperature difference between the centre and the surface of the rod is ______ $^{\circ} C$.

Heat is generated uniformly in a long solid cylindrical rod (diameter$=10$ mm) at the rate of $4 \times 10^{7} W/m^{3}$. The thermal conductivity of the rod material is $...

Arjun

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Arjun asked Feb 26, 2017

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GATE2017 ME-1: 34
The pressure ratio across a gas turbine (for air, specific heat at constant pressure, $c_{p}=1040 J/kg.K$ and ratio of specific heats, $\gamma=1.4$) is $10$. If the inlet temperature to the turbine is $1200$ K and the isentropic efficiency is $0.9$, the gas temperature at turbine exit is ________ $K$

The pressure ratio across a gas turbine (for air, specific heat at constant pressure, $c_{p}=1040 J/kg.K$ and ratio of specific heats, $\gamma=1.4$) is $10$. If the inlet...

Arjun

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Arjun asked Feb 26, 2017

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GATE Mechanical 2014 Set 2 | Question: 50
A project has four activities $P, Q, R$ and $S$ ... $9$ days, the total cost (in Rupees) of the project is _______

A project has four activities $P, Q, R$ and $S$ as shown below.$$\begin{array}{|c|c|c|c|} \hline \text{Activity} & \text{Normal duration (days)} & \text{Predecessor} & \t...

Arjun

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Arjun asked Feb 19, 2017

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GATE ME 2012 | Question: 52
Air enters an adiabatic nozzle at $300$ kPa, $500$ K with a velocity of $10$ m/s. It leaves the nozzle at $100$ kPa with a velocity of $180$ m/s. The inlet area is $80 cm^2$. The specific heat of air $C_p$ is $1008$ J/kg.K. The exit temperature of the air is $516$ K $532$ K $484$ K $468$ K

Air enters an adiabatic nozzle at $300$ kPa, $500$ K with a velocity of $10$ m/s. It leaves the nozzle at $100$ kPa with a velocity of $180$ m/s. The inlet area is $80 c...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE2018-2-55
A vehicle powered by a spark ignition engine follows air standard Otto cycle ($\gamma =1.4$). The engine generates $70$ kW while consuming $10.3$ kg/hr of fuel. The calorific value of the fuel is $44,000 \: kJ/kg$. The compression ratio is _________ (correct to two decimal places.

A vehicle powered by a spark ignition engine follows air standard Otto cycle ($\gamma =1.4$). The engine generates $70$ kW while consuming $10.3$ kg/hr of fuel. The calor...

Arjun

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Arjun asked Feb 17, 2018

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GATE2016-1-41
A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is $U_o$. The velocity profile at the inlet $a-b$ is uniform, while that at a downstream location $c-d$ ... rate, $\dot{m}_{bd}$ leaving through the horizontal section $b-d$ to that entering through the vertical section $a-b$ is ___________

A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is $U_o$. The velocity profile at the inlet $a-b...

Arjun

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Arjun asked Feb 24, 2017

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GATE2019 ME-1: 33
A gas is heated in a duct as it flows over a resistance heater. Consider a $101 \: kW$ electric heating system. The gas enters the heating section of the duct at $100 \: kPa$ and $27^{\circ} C$ with a volume flow rate of $15 m^3/s$. If heat is lost from the gas in the duct to the ... $32^{\circ} C$ $37^{\circ} C$ $53^{\circ} C$ $76^{\circ} C$

A gas is heated in a duct as it flows over a resistance heater. Consider a $101 \: kW$ electric heating system. The gas enters the heating section of the duct at $100 \: ...

Arjun

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Arjun asked Feb 9, 2019

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GATE Mechanical 2014 Set 1 | Question: 40
A $200$ mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by $250^\circ C$. If the Young's modulus and coefficient of thermal expansion are $200$ GPa ... , respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod is _______

A $200$ mm long, stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by $250^\circ C$. If the Yo...

Arjun

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Arjun asked Feb 19, 2017

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GATE ME 2012 | Question: 41
Water $(C_p=4.18 \: kJ/kg.K)$ at $80^{\circ} C$ enters a counterflow heat exchanger with a mass flow rate of $0.5 \: kg/s$. Air ($C_p=1 \: kJ/kg.K$) enters at $30^{\circ} C$ with a mass flow rate of $2.09 \: kg/s$. If the effectiveness of heat exchanger is $0.8$, the LMTD (in $^{\circ} C$) is $40$ $20$ $10$ $5$

Water $(C_p=4.18 \: kJ/kg.K)$ at $80^{\circ} C$ enters a counterflow heat exchanger with a mass flow rate of $0.5 \: kg/s$. Air ($C_p=1 \: kJ/kg.K$) enters at $30^{\circ}...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE Mechanical 2014 Set 1 | Question: 14
Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below. The free stream velocity is $U_\infty$ and the free stream temperature $T_\infty$ is lower than the cylinder surface temperature $T_S$. The local heat transfer coefficient is minimum at point $1$ $2$ $3$ $4$

Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below.The free stream velocity is $U_\infty$ and the free stream temperature $T_\infty...

Arjun

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Arjun asked Feb 19, 2017

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GATE2016-1-44
A fluid (Prandtl number, $P_r=1$) at $500\:K$ flows over a flat plate of $1.5\:m$ length, maintained at $300\: K$. The velocity of the fluid is $10 \: m/s$. Assuming kinematic viscosity,$v=30\times 10^{-6}$ $m^2/s$, the thermal boundary layer thickness (in $mm$) at $0.5 \:m$ from the leading edge is __________

A fluid (Prandtl number, $P_r=1$) at $500\:K$ flows over a flat plate of $1.5\:m$ length, maintained at $300\: K$. The velocity of the fluid is $10 \: m/s$. Assuming kine...

Arjun

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Arjun asked Feb 24, 2017

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GATE2016-1-19
The INCORRECT statement about regeneration in vapor power cycle is that it increases the irreversibility by adding the liquid with higher energy content to the steam generator heat is exchanged between the expanding fluid in the turbine and the compressed ... the principle is similar to the principle of Stirling gas cycle it is practically implemented by providing feed water heaters

The INCORRECT statement about regeneration in vapor power cycle is thatit increases the irreversibility by adding the liquid with higher energy content to the steam gener...

Arjun

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Arjun asked Feb 24, 2017

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GATE2020-ME-2: 48
Consider a flow through a nozzle, as shown in the figure below. The air flow is steady, incompressible and inviscid. The density of air is $1.23 \: kg/m^3$. The pressure difference, $(p_1-p_{\text{atm}})$ is _________ kPa (round off to $2$ decimal places)

Consider a flow through a nozzle, as shown in the figure below.The air flow is steady, incompressible and inviscid. The density of air is $1.23 \: kg/m^3$. The pressure d...

go_editor

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go_editor asked Sep 18, 2020

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GATE Mechanical 2014 Set 1 | Question: 43
Water flows through a pipe having an inner radius of $10 mm$ at the rate of $36 \: kg/hr$ at $25^ \circ C$. The viscosity of water at $25^ \circ C$ is $0.001 \: kg/m.s$. The Reynolds number of the flow is _______

Water flows through a pipe having an inner radius of $10 mm$ at the rate of $36 \: kg/hr$ at $25^ \circ C$. The viscosity of water at $25^ \circ C$ is $0.001 \: kg/m.s$....

Arjun

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Arjun asked Feb 19, 2017

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GATE2018-1-46
An engine working on air standard Otto cycle is supplied with air at $0.1 MPa$ and $35^{\circ} \: C$. The compression ratio is $8$. The heat supplied is $500 \: kJ/kg \: K$. The maximum temperature (in $K$) of the cycle is _______ (correct to one decimal place)

An engine working on air standard Otto cycle is supplied with air at $0.1 MPa$ and $35^{\circ} \: C$. The compression ratio is $8$. The heat supplied is $500 \: kJ/kg \: ...

Arjun

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Arjun asked Feb 17, 2018

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GATE2017 ME-1: 31
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, $f=K(Re)^{-n}$, where ... $\left ( \dfrac{d_{2}}{d_{1}} \right )^{(5+n)}$

Consider steady flow of an incompressible fluid through two long and straight pipes of diameters $d_{1}$ and $d_{2}$ arranged in series. Both pipes are of equal length an...

Arjun

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Arjun asked Feb 26, 2017

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GATE2015-3-55
A mixture of ideal gases has the following composition by mass: $\begin{array}{|c|c|c|} \hline N_2 & O_2 & CO_2 \\ \hline 60\% & 30\% & 10 \% \\ \hline \end{array}$ If the universal gas constant is $8314 \: J/kmol-K$, the characteristic gas constant of the mixture (in $J/kg-K$) is ________

A mixture of ideal gases has the following composition by mass:$\begin{array}{|c|c|c|} \hline N_2 & O_2 & CO_2 \\ \hline 60\% & 30\% & 10 \% \\ \hline \end{array}$If the ...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-54
A brick wall $\left(k=0.9\displaystyle{\frac{W}{m.k}}\right)$ of thickness $0.18$ $m$ separates the warm air in a room from the cold ambient air. On a particular winter day, the outside air temperature is $−5^\circ C$ ... resistance of the air inside the room, the heat loss, in $\displaystyle{\frac{W}{m^2}}$, is $88$ $110$ $128$ $160$

A brick wall $\left(k=0.9\displaystyle{\frac{W}{m.k}}\right)$ of thickness $0.18$ $m$ separates the warm air in a room from the cold ambient air. On a particular winter d...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 2 | Question: 49
A heat pump with refrigerant $R22$ is used for space heating between temperature limits of $−20^\circ C$ and $25^ \circ C$. The heat required is $200 MJ/h$ ... $kJ/kg$) of the refrigerant at isentropic compressor discharge is _______

A heat pump with refrigerant $R22$ is used for space heating between temperature limits of $−20^\circ C$ and $25^ \circ C$. The heat required is $200 MJ/h$. Assume spec...

Arjun

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Arjun asked Feb 19, 2017

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GATE ME 2013 | Question: 19
Consider one-dimensional steady state heat conduction along $x$-axis ($0 \leq x \leq L$), through a planewall with the boundary surfaces ($x = 0$ and $x = L$) maintained at temperatures of $0^{\circ} C$ and $100^{\circ}C$. ... . The temperature distribution is linear within the wall. The temperature distribution is symmetric about the mid-plane of the wall.

Consider one-dimensional steady state heat conduction along $x$-axis ($0 \leq x \leq L$), through a planewall with the boundary surfaces ($x = 0$ and $x = L$) maintained...

piyag476

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piyag476 asked Feb 19, 2017

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GATE ME 2012 | Question: 4
During $\textit{normalizing} $ process of steel, the specimen is heated between the upper and lower critical temperature and cooled in still air above the upper critical temperature and cooled in furnace above the upper critical temperature and cooled in still air between the upper and lower critical temperature and cooled in furnace

During $\textit{normalizing} $ process of steel, the specimen is heatedbetween the upper and lower critical temperature and cooled in still airabove the upper critical te...

Andrijana3306

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Andrijana3306 asked Mar 19, 2018

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GATE2018-1-44
A tank of volume $0.05 \: m^3$ contains a mixture of saturated water and saturated steam at $200 ^{\circ}C$. The mass of the liquid present is $8 \: kg$. The entropy (in $kJ/kg \: K$) of the mixture is _______ (correct to two decimal places). Property data for saturated steam and water are: ... $s_{fg}=4.1014 \: kJ/kg \: K, \: s_f=2.3309 \: kJ/kg \: K$

A tank of volume $0.05 \: m^3$ contains a mixture of saturated water and saturated steam at $200 ^{\circ}C$. The mass of the liquid present is $8 \: kg$. The entropy (in...

Arjun

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Arjun asked Feb 17, 2018

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GATE2016-1-13
The instantaneous stream-wise velocity of a turbulent flow is given as follows: $u(x,y,z,t)=\overline{u}(x,y,z)+{u}'(x,y,z,t)$ The time-average of the fluctuating velocity ${u}'(x,y,z,t)$ is $\displaystyle{\frac{u'}{2}} \\$ $\displaystyle{\frac{-\overline{u}}{2}} \\$ $\text{zero}\\$ $\displaystyle{\frac{\overline{u}}{2}}$

The instantaneous stream-wise velocity of a turbulent flow is given as follows:$u(x,y,z,t)=\overline{u}(x,y,z)+{u}'(x,y,z,t)$The time-average of the fluctuating velocity ...

Arjun

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Arjun asked Feb 24, 2017

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GATE2018-2-54
Steam in the condenser of a thermal power plant is to be condensed at a temperature of $30^{\circ}C$ with cooling water which enters the tubes of the condenser at $14^{\circ}C$ and exists at $22^{\circ}C$ ... coefficient is $2000 \: W/m^2 \: K$. The heat transfer (in $MW$) to the condenser is _________ (correct to two decimal places).

Steam in the condenser of a thermal power plant is to be condensed at a temperature of $30^{\circ}C$ with cooling water which enters the tubes of the condenser at $14^{\c...

Arjun

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Arjun asked Feb 17, 2018

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GATE2016-1-17
Propane ($C_3H_8$) is burned in an oxygen atmosphere with $10$% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, the volume percentage of $CO$ in the products is __________.

Propane ($C_3H_8$) is burned in an oxygen atmosphere with $10$% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, t...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-2-43
A cylindrical uranium fuel rod of radius $5 \: mm$ in a nuclear reactor is generating heat at the rate of $4 \times 107 \: W/m^3$. The rod is cooled by a liquid (convective heat transfer coefficient $1000 \: W/m^2-K$) at $25^{\circ}C$. At steady state, the surface temperature (in $K$) of the rod is $308$ $398$ $418$ $448$

A cylindrical uranium fuel rod of radius $5 \: mm$ in a nuclear reactor is generating heat at the rate of $4 \times 107 \: W/m^3$. The rod is cooled by a liquid (convecti...

Arjun

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Arjun asked Feb 24, 2017

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GATE Mechanical 2014 Set 3 | Question: 15
For a gas turbine power plant, identify the correct pair of statements. P. Smaller in size compared to steam power plant for same power output Q. Starts quickly compared to steam power plant R. Works on the principle of Rankine cycle S. Good compatibility with solid fuel P, Q R, S Q, R P, S

For a gas turbine power plant, identify the correct pair of statements.P. Smaller in size compared to steam power plant for same power outputQ. Starts quickly compared to...

Arjun

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Arjun asked Feb 19, 2017

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GATE2020-ME-1: 16
The velocity field of an incompressible flow in a Cartesian system is represented by $\overrightarrow{V}=2\left ( x^{2}-y^{2} \right )\widehat{i}+v\widehat{j}+3\widehat{k}$ Which one of the following expressions for $v$ is valid? $-4xz + 6xy$ $ – 4xy – 4xz$ $4xz – 6xy$ $4xy + 4xz$

The velocity field of an incompressible flow in a Cartesian system is represented by$$\overrightarrow{V}=2\left ( x^{2}-y^{2} \right )\widehat{i}+v\widehat{j}+3\widehat{k...

go_editor

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go_editor asked Feb 19, 2020

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ISRO2009-8
The pressure drop for a relatively low Reynolds number flow in a $600 \: \text{mm}, \: 30 \: \text{m}$ long pipeline is $70 \;\text{kPa}$. What is the wall shear stress? $0 \;\text{Pa}$ $1400 \;\text{Pa}$ $700 \;\text{Pa}$ $350 \;\text{Pa}$

The pressure drop for a relatively low Reynolds number flow in a $600 \: \text{mm}, \: 30 \: \text{m}$ long pipeline is $70 \;\text{kPa}$. What is the wall shear stress?$...

m2n037

940 points

m2n037 asked Mar 6, 2018

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GATE2018-2-34
Air flows at the rate of $1.5 \: m^3/s$ through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have diameters of the $400 \: mm$ and $200 \: mm$. Take the air density as $1.2 \: kg/m^3$ and assume inviscid ... change in pressure $(p_2-p_1)$ (in $kPa$) between sections $1$ and $2$ is $-1.28$ $2.56$ $- 2.13$ $1.28$

Air flows at the rate of $1.5 \: m^3/s$ through a horizontal pipe with a gradually reducing cross-section as shown in the figure. The two cross-sections of the pipe have ...

Arjun

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Arjun asked Feb 17, 2018

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GATE2016-2-19
Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycles, the pressure ratio is $6$ and the ratio of the specific heats of the working medium is $1.4$. The ratio of minimum to maximum ... $K$) in the regenerative cycle. The ratio of the thermal efficiency of the simple cycle to that of the regenerative cycle is _________

Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycles, the pressure ratio is $6$ and the ratio of the specif...

Arjun

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Arjun asked Feb 24, 2017

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GATE2015-3-53
One side of a wall is maintained at $400 \: K$ and the other at $300 \: K$. The rate of heat transfer through the wall is $1000 \: W$ and the surrounding temperature is $25^\circ C$. Assuming no generation of heat within the wall, the irreversibility (in $W$) due to heat transfer through the wall is ________

One side of a wall is maintained at $400 \: K$ and the other at $300 \: K$. The rate of heat transfer through the wall is $1000 \: W$ and the surrounding temperature is $...

Arjun

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Arjun asked Feb 24, 2017

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Thermometer questions in thermodynamics
In a new temperature scale degree(symbol)P ,the boiling point of water is 100 degree(symbol)P and the freezing point of water is 300 degree(symbol)P .Find the reading corresponding to 0 degree(symbol)P in centrigrade scale . Solve the question and explain each step properly with detailed solutions

In a new temperature scale degree(symbol)P ,the boiling point of water is 100 degree(symbol)P and the freezing point of water is 300 degree(symbol)P .Find the reading cor...

Kumar Pranjal

120 points

Kumar Pranjal asked Apr 10, 2021

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ISRO2009-6
A necessary precaution in selection of pumps for parallel operations is that $\text{H-Q}$ characteristics of both should be identical Both pumps should be centrifugal type Both pumps should be identical There should not be change from positive to negative slope in H-Q curve

A necessary precaution in selection of pumps for parallel operations is that$\text{H-Q}$ characteristics of both should be identicalBoth pumps should be centrifugal typeB...

m2n037

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m2n037 asked Mar 6, 2018

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GATE2020-ME-2: 55
Keeping all other parameters identical, the Compression Ratio (CR) of an air standard diesel cycle is increased from $15$ to $21$. Take ratio of specific heats $=1.3$ and cut-off ratio of the cycle $r_c=2$. The difference between the new and the old efficiency values, in ... $\%$ (round off to one decimal place).

Keeping all other parameters identical, the Compression Ratio (CR) of an air standard diesel cycle is increased from $15$ to $21$. Take ratio of specific heats $=1.3$ and...

go_editor

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go_editor asked Sep 18, 2020

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GATE ME 2013 | Question: 51
Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01$ $kg$/$s$ and a temperature of $20^0$ $C$.The pipe, of diameter $50$ $mm$ and length $3$ $m$, is subjected to a wall heat flux ${q_{w}}''$ in $W$/$m^2$: ... $ $W$/$m^2$K$, the temperature in $_{}^{0}\textrm{C}$ at the inner surface of the pipe at the outlet is $71$ $76$ $79$ $81$

Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01$ $kg$/$s$ and a temperature of $20^0$ $C$.Thepipe, of diameter $50$ $mm$ and length $3$ ...

piyag476

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piyag476 asked Feb 19, 2017

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GATE2018-1-45
Steam flows through a nozzle at a mess flow rate of $m=0.1 \: kg/s$ with a heat loss of $5 \: kW$. The enthalpies at inlet and exit are $2500 \: kJ/kg$ and $2350 \: kJ/kg$, respectively. Assuming negligible velocity in inlet ($C_1 \approx 0$), the velocity ($C_2$) of steam (in $m/s$) at the nozzle exit is _____ (correct to two decimal places).

Steam flows through a nozzle at a mess flow rate of $m=0.1 \: kg/s$ with a heat loss of $5 \: kW$. The enthalpies at inlet and exit are $2500 \: kJ/kg$ and $2350 \: kJ/kg...

Arjun

28.5k points

Arjun asked Feb 17, 2018