Recent questions tagged heat-transfer / GO Mechanical

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GATE2016-1-49
Heat is removed from a molten metal of mass $2$ $kg$ at a constant rate of $10$ $kW$ till it is completely solidified.The cooling curve is shown in the figure Assuming uniform temperature throughout the volume of the metal during solidification,the latent heat of fusion of metal ( in $kJ$/$kg$) is _________

Heat is removed from a molten metal of mass $2$ $kg$ at a constant rate of $10$ $kW$ till it is completely solidified.The cooling curve is shown in the figureAssuming uni...

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GATE2016-1-45
For water at $25^\circ C$, $dp_s/dT_s = 0.189 \: kPa/K$ ($p_s$ is the saturation pressure in $kPa$ and $T_s$ is the saturation temperature in $K$) and the specific volume of dry saturated vapour is $43.38 \: m^3/kg$. Assume that the ... vapour. Using the Clausius-Clapeyron equation, an estimate of the enthalpy of evaporation of water at $25^\circ C$ (in $kJ / kg$) is __________

For water at $25^\circ C$, $dp_s/dT_s = 0.189 \: kPa/K$ ($p_s$ is the saturation pressure in $kPa$ and $T_s$ is the saturation temperature in $K$) and the specific volum...

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GATE2016-1-43
An infinitely long furnace of $0.5\:m\times 0. 4 \:m$ cross-section is shown in the figure below. Consider all surfaces of the furnace to be black. The top and bottom walls are maintained at temperature $T_1=T_3=927^\circ C$ ... loss or gain on side $1$ is_________ $W/m$. Stefan-Boltzmann constant = $5.67 \times 10^{-8}$ $W/m^2-K^4$

An infinitely long furnace of $0.5\:m\times 0. 4 \:m$ cross-section is shown in the figure below. Consider all surfaces of the furnace to be black. The top and bottom wal...

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GATE2016-1-42
A steel ball of $10\:mm$ diameter at $1000\:K$ is required to be cooled to $350\:K$ by immersing it in a water environment at $300\:K$. The convective heat transfer coefficient is $1000\:W/m^2-K$. Thermal conductivity of steel is $40\:W/m-K$. The time constant for the cooling process $\tau$ is $16\:s$. The time required (in $s$) to reach the final temperature is __________

A steel ball of $10\:mm$ diameter at $1000\:K$ is required to be cooled to $350\:K$ by immersing it in a water environment at $300\:K$. The convective heat transfer coeff...

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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...

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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...

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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 $...

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GATE2015-3-40
A solid sphere $1$ of radius ‘$r$’ is placed inside a hollow, closed hemispherical surface $2$ of radius ‘$4r$’. The shape factor $F_{2-1}$ is $1/12$ $1/2$ $2$ $12$

A solid sphere $1$ of radius ‘$r$’ is placed inside a hollow, closed hemispherical surface $2$ of radius ‘$4r$’. The shape factor $F_{2-1}$ is$1/12$$1/2$$2$$12$

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GATE2015-3-12
Saturated vapor is condensed to saturated liquid in a condenser. The heat capacity ratio is $C_r = \displaystyle{\frac{C_{\text{min}}}{C_{\text{max}}}}$. The effectiveness $(\varepsilon)$ of the condenser is $\displaystyle{\frac{1-\text{exp}[-NTU(1+C_r)]}{1+C_r}} \\$ ... $\displaystyle{\frac{NTU}{1+NTU}} \\$ $1 - \text{exp}(-NTU)$

Saturated vapor is condensed to saturated liquid in a condenser. The heat capacity ratio is $C_r = \displaystyle{\frac{C_{\text{min}}}{C_{\text{max}}}}$. The effectivenes...

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GATE2015-3-11
The ratio of momentum diffusivity $(ν)$ to thermal diffusivity $(\alpha)$, is called Prandtl number Nusselt number Biot number Lewis number

The ratio of momentum diffusivity $(ν)$ to thermal diffusivity $(\alpha)$, is calledPrandtl numberNusselt numberBiot numberLewis number

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GATE2015-2-54
A project consists of $7$ activities. The network along with the time durations (in days) for various activities is shown in the figure. The minimum time (in days) for completion of the project is_________

A project consists of $7$ activities. The network along with the time durations (in days) for various activities is shown in the figure.The minimum time (in days) for com...

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GATE2015-2-46
For the same values of peak pressure, peak temperature and heat rejection, the correct order of efficiencies for Otto, Dual and Diesel cycles is $\eta _{\text{Otto}}> \eta _{\text{Dual}}> \eta _{\text{Diesel}}$ ... $\eta _{\text{Diesel}}> \eta _{\text{Otto}}> \eta _{\text{Dual}}$

For the same values of peak pressure, peak temperature and heat rejection, the correct order of efficiencies for Otto, Dual and Diesel cycles is$\eta _{\text{Otto}} \eta ...

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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...

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GATE2015-2-42
A balanced counterflow heat exchanger has a surface area of $20$ $m^2$ and overall heat transfer coefficient of $20$ $W$/$m^2$-$K$. Air ($C_p$=$1000$ $J$/$kg$-$K$) entering at $0.4$ $kg/s$ and $280$ $K$ is to be preheated by the air leaving the system at $0.4$ $kg/s$ and $300$ $K$. The outlet temperature (in $K$) of the preheated air is $290$ $300$ $320$ $350$

A balanced counterflow heat exchanger has a surface area of $20$ $m^2$ and overall heat transfer coefficient of $20$ $W$/$m^2$-$K$. Air ($C_p$=$1000$ $J$/$kg$-$K$) enteri...

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GATE2015-2-13
Which of the following statements regarding a Rankine cycle with reheating are TRUE? increase in average temperature of heat addition reduction in thermal efficiency drier steam at the turbine exit only $(i)$ and $(ii)$ are correct only $(ii)$ and $(iii)$ are correct only $(i)$ and $(iii)$ are correct $(i)$, $(ii)$ and $(iii)$ are correct

Which of the following statements regarding a Rankine cycle with reheating are TRUE?increase in average temperature of heat additionreduction in thermal efficiencydrier s...

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GATE2015-1-50
A $10$ $mm$ diameter electrical conductor is covered by an insulation of $2\:mm$ thickness. The conductivity of the insulation is $0.08$ $W/m-K$ and the convection coefficient at the insulation surface is $10$ $W/m^2-K$. Addition of ... heat loss continuously increase heat loss to a maximum and then decrease heat loss decrease heat loss to a minimum and then increase heat loss

A $10$ $mm$ diameter electrical conductor is covered by an insulation of $2\:mm$ thickness. The conductivity of the insulation is $0.08$ $W/m-K$ and the convection coeffi...

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GATE2015-1-9
For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy, it is sufficient to know only the temperature both temperature and pressure are required to be known both temperature and volume are required to be known both temperature and mass are required to be known

For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,it is sufficient to know only the temperatureboth temperature and pressu...

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GATE2015-1-8
For flow of viscous fluid over a flat plate, if the fluid temperature is the same as the plate temperature, the thermal boundary layer is thinner than the velocity boundary layer thicker than the velocity boundary layer of the same thickness as the velocity boundary layer not formed at all

For flow of viscous fluid over a flat plate, if the fluid temperature is the same as the plate temperature, the thermal boundary layer isthinner than the velocity boundar...

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GATE Mechanical 2014 Set 4 | Question: 48
Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce heat exchange between the plates. Assume that the emissivities of plates and radiation shield are equal ... exchange between the plates with and without the shield is $1/2$ $1/3$ $1/4$ $1/8$

Two infinite parallel plates are placed at a certain distance apart. An infinite radiation shield is inserted between the plates without touching any of them to reduce he...

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GATE Mechanical 2014 Set 4 | Question: 46
Two identical metal blocks L and M (specific heat = $0.4$ $kJ/kg.K$), each having a mass of $5$ $kg$, are initially at $313$ $K$. A reversible refrigerator extracts heat from block L and rejects heat to block M until the temperature of block L reaches $293$ $K$. The final temperature (in $K$) of block M is _______

Two identical metal blocks L and M (specific heat = $0.4$ $kJ/kg.K$), each having a mass of $5$ $kg$, are initially at $313$ $K$. A reversible refrigerator extracts heat ...

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GATE Mechanical 2014 Set 4 | Question: 42
A plane wall has a thermal conductivity of $1.15$ $W/m.K$. If the inner surface is at $1100^{\circ} C$ and the outer surface is at $350^{\circ} C$, then the design thickness (in meter) of the wall to maintain a steady heat flux of $2500$ $W/m^2$ should be _______

A plane wall has a thermal conductivity of $1.15$ $W/m.K$. If the inner surface is at $1100^{\circ} C$ and the outer surface is at $350^{\circ} C$, then the design thickn...

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GATE Mechanical 2014 Set 4 | Question: 24
Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel ... $P-III, Q-II, R-IV, S-I$ $P-II, Q-III, R-I, S-IV$

Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel$\begin{array}{|l|l|} \hline \textbf{Group A} & \t...

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GATE Mechanical 2014 Set 4 | Question: 15
Match Group A with Group B: ... $P-4, Q-3, R-1, S-2$ $P-3, Q-2, R-1, S-4$ $P-2, Q-1, R-3, S-4$

Match Group A with Group B:$\begin{array}{|l|l|} \hline \textbf{Group A} & \textbf{Group B} \\ \hline \text{P: Biot number} & \text{1: Ratio of buoyancy to viscous force}...

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GATE Mechanical 2014 Set 3 | Question: 48
A double-pipe counter-flow heat exchanger transfers heat between two water streams. Tube side water at $19$ liter/s is heated from $10^{\circ} \: C$ to $38^{\circ} \: C$. Shell side water at $25$ $litre/s$ is entering at $46^{\circ} \: C$. Assume ... density is $1000 \: kg/m^3$ and specific heat is $4186 \: J/kg.K$. The LM TD (in $^{\circ}C$) is _______

A double-pipe counter-flow heat exchanger transfers heat between two water streams. Tube side water at $19$ liter/s is heated from $10^{\circ} \: C$ to $38^{\circ} \: C$....

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GATE Mechanical 2014 Set 3 | Question: 47
A solid sphere of radius $r_1 = 20$ $mm$ is placed concentrically inside a hollow sphere of radius $r_2 = 30$ $mm$ as shown in the figure. The view factor $F_{21}$ for radiation heat transfer is $\dfrac{2}{3} \\$ $\dfrac{4}{9} \\$ $\dfrac{8}{27} \\$ $\dfrac{9}{4}$

A solid sphere of radius $r_1 = 20$ $mm$ is placed concentrically inside a hollow sphere of radius $r_2 = 30$ $mm$ as shown in the figure.The view factor $F_{21}$ for ra...

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GATE Mechanical 2014 Set 3 | Question: 44
Heat transfer through a composite wall is shown in figure. Both the sections of the wall have equal thickness $(l)$. The conductivity of one section is $k$ and that of the other is $2k$. The left face of the wall is at $600$ $K$ and the right face is at $300$ $K$. The interface temperature $T_i$ (in $K$) of the composite wall is _______

Heat transfer through a composite wall is shown in figure. Both the sections of the wall have equal thickness $(l)$. The conductivity of one section is $k$ and that of th...

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GATE Mechanical 2014 Set 3 | Question: 42
An amount of $100 \: kW$ of heat is transferred through a wall in steady state. One side of the wall is maintained at $127^{\circ} \: C$ and the other side at $27^{\circ} \: C$. The entropy generated (in $W/K$) due to the heat transfer through the wall is _______

An amount of $100 \: kW$ of heat is transferred through a wall in steady state. One side of the wall is maintained at $127^{\circ} \: C$ and the other side at $27^{\circ}...

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GATE Mechanical 2014 Set 3 | Question: 17
A sample of moist air at a total pressure of $85$ $kPa$ has a dry bulb temperature of $30^oC$ (saturation vapour pressure of water = $4.24$ $kPa$). If the air sample has a relative humidity of $65$%, the absolute humidity (in gram) of water vapour per $kg$ of dry air is _______

A sample of moist air at a total pressure of $85$ $kPa$ has a dry bulb temperature of $30^oC$ (saturation vapour pressure of water = $4.24$ $kPa$). If the air sample has ...

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GATE Mechanical 2014 Set 3 | Question: 16
A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained from the heat source is _______

A source at a temperature of $500$ $K$ provides $1000$ $kJ$ of heat. The temperature of environment is $27^oC$. The maximum useful work (in $kJ$) that can be obtained fro...

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GATE Mechanical 2014 Set 2 | Question: 48
In a concentric counter flow heat exchanger, water flows through the inner tube at $25^\circ C$ and leaves at $42^\circ C$. The engine oil enters at $100^\circ C$ and flows in the annular flow passage. The exit temperature of the engine ... water and oil are $4178 J/kg.K$ and $2130 J/kg.K$, respectively. The effectiveness of this heat exchanger is _______

In a concentric counter flow heat exchanger, water flows through the inner tube at $25^\circ C$ and leaves at $42^\circ C$. The engine oil enters at $100^\circ C$ and flo...

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GATE Mechanical 2014 Set 2 | Question: 44
A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as shown. The boundary temperatures of the slabs are indicated ... steady state heat conduction for the configuration, the thermal conductivity ($k$, in $W/m.K$) of material $P$ is _______

A material P of thickness $1$ $mm$ is sandwiched between two steel slabs, as shown in the figure below. A heat flux $10$ $kW/m^2$ is supplied to one of the steel slabs as...

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GATE Mechanical 2014 Set 2 | Question: 42
A hemispherical furnace of $1$ m radius has the inner surface (emissivity, $\varepsilon =1$) of its roof maintained at $800$ $K$, while its floor ($\varepsilon =5.0$) is kept at $600 K$. Stefan-Boltzmann constant is $5.668 \times 10^−8$ $W / m^2$.$K^4$. The net radiative heat transfer (in $kW$) from the roof to the floor is _______

A hemispherical furnace of $1$ m radius has the inner surface (emissivity, $\varepsilon =1$) of its roof maintained at $800$ $K$, while its floor ($\varepsilon =5.0$) is...

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GATE Mechanical 2014 Set 2 | Question: 16
In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ is the temperature difference at the other end. This heat exchanger is a condenser an evaporator a counter flow heat exchanger a parallel flow heat exchanger

In a heat exchanger, it is observed that $ΔT_1$ = $ΔT_2$, where $ΔT_1$ is the temperature difference between the two single phase fluid streams at one end and $ΔT_2$ ...

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GATE Mechanical 2014 Set 2 | Question: 13
The thermal efficiency of an air-standard Brayton cycle in terms of pressure ratio $r_p$ and $\gamma (= c_p /c_v)$ is given by $1-\dfrac{1}{{r_p}^{\gamma -1}} \\$ $1-\dfrac{1}{{r_p}^{\gamma }} \\$ $1-\dfrac{1}{{r_p}^{1/\gamma }} \\$ $1-\dfrac{1}{{r_p}^{(\gamma -1)/\gamma }}$

The thermal efficiency of an air-standard Brayton cycle in terms of pressure ratio $r_p$ and $\gamma (= c_p /c_v)$ is given by$1-\dfrac{1}{{r_p}^{\gamma -1}} \\$$1-\dfrac...

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GATE Mechanical 2014 Set 2 | Question: 12
For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $2$, the average heat transfer coefficient remains same decreases by a factor of $\sqrt{2}$ rises by a factor of $\sqrt{2}$ rises by a factor of $\sqrt{4}$

For laminar forced convection over a flat plate, if the free stream velocity increases by a factor of $2$, the average heat transfer coefficientremains samedecreases by a...

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GATE Mechanical 2014 Set 1 | Question: 48
A reversible heat engine receives $2$ $kJ$ of heat from a reservoir at $1000$ $K$ and a certain amount of heat from a reservoir at $800$ $K$. It rejects $1$ $kJ$ of heat to a reservoir at $400$ $K$. The net work output (in $kJ$) of the cycle is $0.8$ $1.0$ $1.4$ $2.0$

A reversible heat engine receives $2$ $kJ$ of heat from a reservoir at $1000$ $K$ and a certain amount of heat from a reservoir at $800$ $K$. It rejects $1$ $kJ$ of heat ...

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GATE Mechanical 2014 Set 1 | Question: 47
In an air-standard Otto cycle, air is supplied at $0.1$ $MPa$ and $308$ $K$. The ratio of the specific heats $(γ)$ and the specific gas constant $(R)$ of air are $1.4$ and $288.8$ $J/kg.K$, respectively. If the compression ratio is $8$ and the maximum temperature in the cycle is $2660$ $K$, the heat (in $kJ/kg$) supplied to the engine is _______

In an air-standard Otto cycle, air is supplied at $0.1$ $MPa$ and $308$ $K$. The ratio of the specific heats $(γ)$ and the specific gas constant $(R)$ of air are $1.4$ a...

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GATE Mechanical 2014 Set 1 | Question: 42
Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness $30$ $mm$ and thermal conductivity $15$ $W/m.K$. At $x$ = $0$, a constant heat flux, ${q}''$ = $1 105$ $W$/$m^2$ is applied. On ... $250$ $W$/$m^2.K$. The temperature (in $°C$), at $x$ = $0$ is _______

Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness $30$ $mm$ and thermal conductivity $15$ $W/m.K$. At $x$ = $0$,...

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GATE Mechanical 2014 Set 1 | Question: 41
$1.5$ kg of water is in saturated liquid state at $2$ bar $(vf = 0.001061 \: m^3/kg, uf = 504.0 \: kJ/kg,$ $hf = 505 kJ/kg$). Heat is added in a constant pressure process till the temperature of water reaches $400^ \circ C (v = 1.5493 \: m^3/kg, u = 2967.0 kJ/kg,$ $h = 3277.0 \: kJ/kg)$. The heat added (in $kJ$) in the process is _______

$1.5$ kg of water is in saturated liquid state at $2$ bar $(vf = 0.001061 \: m^3/kg, uf = 504.0 \: kJ/kg,$ $hf = 505 kJ/kg$). Heat is added in a constant pressure proces...

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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...

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