Hot questions in Fluid Mechanics and Thermal Sciences / GO Mechanical

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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...

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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...

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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 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 $3$ ...

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GATE Mechanical 2014 Set 1 | Question: 49
An ideal reheat Rankine cycle operates between the pressure limits of $10 \: kPa$ and $8 \: MPa$, with reheat being done at $4 \: MPa$. The temperature of steam at the inlets of both turbines is $500^ \circ C$ and the enthalpy ... Disregarding the pump work, the cycle efficiency (in percentage) is _______

An ideal reheat Rankine cycle operates between the pressure limits of $10 \: kPa$ and $8 \: MPa$, with reheat being done at $4 \: MPa$. The temperature of steam at the in...

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GATE Mechanical 2014 Set 4 | Question: 45
Water flows through a tube of diameter $25$ $mm$ at an average velocity of $1.0$ $m/s$. The properties of water are $\rho$=$1000$ $kg/m^3$, $\mu$=$7.25 ×10^{−4}$ $N.s/m^2$, $k$=$0.625$ $W/m.K$, $P_r$ = $4.85$. Using $N_\mu =0.023R_e^{0.8}P_r^{0.4}$ , the convective heat transfer coefficient (in $W/m^2.K$) is _______

Water flows through a tube of diameter $25$ $mm$ at an average velocity of $1.0$ $m/s$. The properties of water are $\rho$=$1000$ $kg/m^3$, $\mu$=$7.25 ×10^{−4}$ $N.s/...

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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: 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 1 | Question: 31
A block R of mass $100$ kg is placed on a block S of mass $150$ kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ .If the coefficient of static friction for all surfaces is $0.4$, the minimum force F (in $kN$) needed to move the block S is . $0.69$ $0.88$ $0.98$ $1.37$

A block R of mass $100$ kg is placed on a block S of mass $150$ kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ .If the co...

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GATE Mechanical 2014 Set 3 | Question: 49
A diesel engine has a compression ratio of $17$ and cut-off takes place at $10\%$ of the stroke.Assuming ratio of specific heats $(\gamma)$ as $1.4$, the air-standard efficiency (in percent) is _______

A diesel engine has a compression ratio of $17$ and cut-off takes place at $10\%$ of the stroke.Assuming ratio of specific heats $(\gamma)$ as $1.4$, the air-standard eff...

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GATE Mechanical 2014 Set 1 | Question: 19
In exponential smoothening method, which one of the following is true? $0 \leq \alpha \leq 1$ and high value of $\alpha$ is used for stable demand $0 \leq \alpha \leq 1$ and high value of $α$ is used for unstable demand $\alpha \geq 1$ and high value of $\alpha$ is used for stable demand $\alpha \geq 0$ and high value of $\alpha$ is used for unstable demand

In exponential smoothening method, which one of the following is true?$0 \leq \alpha \leq 1$ and high value of $\alpha$ is used for stable demand$0 \leq \alpha \leq 1$ a...

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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: 13
Which one of the following pairs of equations describes an irreversible heat engine? $\oint \delta Q> 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$ $\oint \delta Q< 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$ $\oint \delta Q> 0$ and $\oint \dfrac{\delta Q}{T} > 0 \\$ $\oint \delta Q< 0$ and $\oint \dfrac{\delta Q}{T} > 0$

Which one of the following pairs of equations describes an irreversible heat engine?$\oint \delta Q 0$ and $\oint \dfrac{\delta Q}{T} < 0 \\$$\oint \delta Q< 0$ and $\oin...

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GATE Mechanical 2014 Set 1 | Question: 46
The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by $\dfrac{T_W-T}{T_W-T_\infty }=a+b\dfrac{y}{L}+c \left (\dfrac{y}{L} \right)^2$ , where $y$ is measured perpendicular to the plate, $L$ is the plate ... number $Nu=\dfrac{{q}''}{T_W-T_\infty }\dfrac{L}{k}$ is equal to $a$ $b$ $2c$ $(b+2c)$

The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by $\dfrac{T_W-T}{T_W-T_\infty }=a+b\dfrac{y}{L}+c \left (\dfr...

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GATE ME 2013 | Question: 28
Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below: ... in $kW$ by the steam turbine per $kg$ of steam flow rate, is $901.2$ $911.2$ $17072.5$ $17082.5$

Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below:$\begin{array}{ccc} & \underline{Specific \: ...

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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 4 | Question: 13
A reversed Carnot cycle refrigerator maintains a temperature of −$5^{\circ}$ $C$. The ambient air temperature is $35^{\circ}$ $C$. The heat gained by the refrigerator at a continuous rate is $2.5$ kJ/s. The power (in watt) required to pump this heat out continuously is _______

A reversed Carnot cycle refrigerator maintains a temperature of −$5^{\circ}$ $C$. The ambient air temperature is $35^{\circ}$ $C$. The heat gained by the refrigerator a...

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GATE Mechanical 2014 Set 4 | Question: 41
A closed system contains $10$ $kg$ of saturated liquid ammonia at $10^{\circ}$ $C$. Heat addition required to convert the entire liquid into saturated vapour at a constant pressure is $16.2$ $MJ$. If the entropy of the saturated liquid is $0.88$ $kJ/kg.K$, the entropy (in $kJ/kg.K$) of saturated vapour is _______

A closed system contains $10$ $kg$ of saturated liquid ammonia at $10^{\circ}$ $C$. Heat addition required to convert the entire liquid into saturated vapour at a constan...

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GATE ME 2013 | Question: 9
Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by $k$ = $k_0$ + $bT$ ; where $k_0$ and $b$ are positive ... $x$ increases, the temperature gradient ( $dT$/ $dx$ ) will remain constant be zero increase decrease

Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity o...

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GATE Mechanical 2014 Set 4 | Question: 16
Kaplan water turbine is commonly used when the flow through its runner is axial and the head available is more than $100$ $m$ axial and the head available is less than $10$ $m$ radial and the head available is more than $100$ $m$ mixed and the head available is about $50$ $m$

Kaplan water turbine is commonly used when the flow through its runner isaxial and the head available is more than $100$ $m$axial and the head available is less than $10$...

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GATE Mechanical 2014 Set 3 | Question: 50
Consider the given project network, where numbers along various activities represent the normal time. The free float on activity $4$-$6$ and the project duration, respectively, are $2$, $13$ $0$, $13$ $-2$, $13$ $2$, $12$

Consider the given project network, where numbers along various activities represent the normal time. The free float on activity $4$-$6$ and the project duration, respect...

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GATE ME 2013 | Question: 55
In a simple Brayton cycle, the pressure ratio is $8$ and temperatures at the entrance of compressor and turbine are $300$ $K$ and $1400$ $K$, respectively. Both compressor and gas turbine have isentropic efficiencies equal to $0.8$. For the gas, assume a ... and potential energies. The thermal efficiency of the cycle in percentage (%) is $24.8$ $38.6$ $44.8$ $53.1$

In a simple Brayton cycle, the pressure ratio is $8$ and temperatures at the entrance of compressor and turbine are $300$ $K$ and $1400$ $K$, respectively. Both compresso...

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GATE Mechanical 2014 Set 4 | Question: 14
A flow field which has only convective acceleration is a steady uniform flow an unsteady uniform flow a steady non-uniform flow an unsteady non-uniform flow

A flow field which has only convective acceleration isa steady uniform flowan unsteady uniform flowa steady non-uniform flowan unsteady non-uniform flow

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GATE Mechanical 2014 Set 2 | Question: 15
A pure substance at $8$ $MPa$ and $400^0C$ is having a specific internal energy of $2864$ $kJ/kg$ and a specific volume of $0.03432$ $m^3$/$kg$. Its specific enthalpy (in $kJ/kg$) is _______

A pure substance at $8$ $MPa$ and $400^0C$ is having a specific internal energy of $2864$ $kJ/kg$ and a specific volume of $0.03432$ $m^3$/$kg$. Its specific enthalpy (in...

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GATE Mechanical 2014 Set 1 | Question: 9
A circular object of radius $r$ rolls without slipping o n a horizontal level floor with the center having Velocity $V$. The velocity at the point of contact between the object and the floor is zero $V$ in the direction of motion $V$ opposite to the direction of motion $V$ vertically upward from the floor

A circular object of radius $r$ rolls without slipping o n a horizontal level floor with the center having Velocity $V$. The velocity at the point of contact between the ...

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GATE ME 2013 | Question: 44
The pressure, temperature and velocity of air flowing in a pipe are $5$ $bar$, $500$ $K$ and $50$ $m$/$s$, respectively. The specific heats of air at constant pressure and at constant volume are $1.005$ $kJ$/$kgK$ and $0.718$ $kJ$/$kgK$, respectively. ... $bar$ and $300$ $K$, respectively, the available energy in $kJ$/$kg$ of the air stream is $170$ $187$ $191$ $213$

The pressure, temperature and velocity of air flowing in a pipe are $5$ $bar$, $500$ $K$ and $50$ $m$/$s$, respectively. The specific heats of air at constant pressure an...

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GATE Mechanical 2014 Set 1 | Question: 44
For a fully developed flow of water in a pipe having diameter $10$ $cm$, velocity $0.1$ $m/s$ and kinematic viscosity $10^{−5}$ $m^2$/$s$, the value of Darcy friction factor is _______

For a fully developed flow of water in a pipe having diameter $10$ $cm$, velocity $0.1$ $m/s$ and kinematic viscosity $10^{−5}$ $m^2$/$s$, the value of Darcy friction f...

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GATE Mechanical 2014 Set 2 | Question: 43
Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and $855×10^−6$ $N.s/m^2$, respectively. Assuming fully-developed flow, the pressure drop (in $Pa$) in the pipe is _______

Water flows through a $10$ $mm$ diameter and $250$ $m$ long smooth pipe at an average velocity of $0.1 m/s$. The density and the viscosity of water are $997$ $kg/m^3$ and...

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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 1 | Question: 16
In a power plant, water (density = $1000$ $kg$/$m^3$) is pumped from $80$ $kPa$ to $3$ $MPa$. The pump has an isentropic efficiency of $0.85$. Assuming that the temperature of the water remains the same, the specific work (in $kJ$/$kg$) supplied to the pump is $0.34$ $2.48$ $2.92$ $3.43$

In a power plant, water (density = $1000$ $kg$/$m^3$) is pumped from $80$ $kPa$ to $3$ $MPa$. The pump has an isentropic efficiency of $0.85$. Assuming that the temperatu...

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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 1 | Question: 12
Biot number signifies the ratio of convective resistance in the fluid to conductive resistance in the solid conductive resistance in the solid to convective resistance in the fluid inertia force to viscous force in the fluid buoyancy force to viscous force in the fluid

Biot number signifies the ratio ofconvective resistance in the fluid to conductive resistance in the solidconductive resistance in the solid to convective resistance in t...

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GATE ME 2013 | Question: 50
Water (specific heat, $c_p$ = $4.18$ $kJ$/$kgK$) enters a pipe at a rate of $0.01 kg/s$ and a temperature of $20^ \circ C$.The pipe, of diameter $50$ $mm$ and length $3$ $m$, is subjected to a wall heat flux ${q_{w}}''$ in $W$ ... ($x = 0$ at the inlet), the bulk mean temperature of the water leaving the pipe in $^\circ \textrm{C}$ is $42$ $62$ $74$ $104$

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

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GATE ME 2013 | Question: 8
The pressure, dry bulb temperature and relative humidity of air in a room are $1$ bar, $30^{\circ} C$ and $70\%$, respectively. If the saturated steam pressure at $30^{\circ} C$ is $4.25$ $kPa$, the specific humidity of the room air in $kg$ water $\text{vapour/kg}$ dry air is $0.0083$ $0.0101$ $0.0191$ $0.0232$

The pressure, dry bulb temperature and relative humidity of air in a room are $1$ bar, $30^{\circ} C$ and $70\%$, respectively. If the saturated steam pressure at $30^{\c...

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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 2 | Question: 47
Steam at a velocity of $10$ $m/s$ enters the impulse turbine stage with symmetrical blading having blade angle $30^\circ $. The enthalpy drop in the stage is $100 kJ$. The nozzle angle is $20^\circ$. The maximum blade efficiency (in percent) is _______

Steam at a velocity of $10$ $m/s$ enters the impulse turbine stage with symmetrical blading having blade angle $30^\circ $. The enthalpy drop in the stage is $100 kJ$. Th...

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GATE ME 2013 | Question: 30
A steel ball of diameter $60$ $mm$ is initially in thermal equilibrium at $1030^0C$ in a furnace. It is suddenly removed from the furnace and cooled in ambient air at $30^0C$, with convective heat transfer coefficient $h = 20 W/m^2K$. The thermo-physical ... required in seconds to cool the steel ball in air from $1030^0C$ to $430^0C$ is $519$ $931$ $1195$ $2144$

A steel ball of diameter $60$ $mm$ is initially in thermal equilibrium at $1030^0C$ in a furnace. It is suddenly removed from the furnace and cooled in ambient air at $30...

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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: 14
Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements. The fluid is well-mixed The fluid is unmixed $Re_D$ < $2300$ $Re_D$ > $2300$ $I, III$ $II, IV$ $II, III$ $I, IV$

Consider the turbulent flow of a fluid through a circular pipe of diameter, D. Identify the correct pair of statements.The fluid is well-mixedThe fluid is unmixed$Re_D$ <...

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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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