Recent questions in Heat Transfer

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A body is placed inside a perfectly black enclosure and is allowed to reach thermal equilibrium. According to the Kirchhoff's identity, which one of the following is equa...
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Which one of the following ratios does Grashof number represent?buoyancy force to inertia forcebuoyancy force to viscous forceviscous force to capillary forceviscous forc...
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In a double pipe cocurrent heat exchanger, operating at steady state, oil (specific heat capacity $=2100 \mathrm{~J} \mathrm{~kg}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ ) enter...
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A pipe with outer diameter of $0.02 \text{ m},$ carries hot water. The temperature at the outer surface of the pipe is $70^{\circ} \mathrm{C}$. This pipe is covered with ...
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​​​​In industrial heat exchanger design, the overall heat transfer coefficient $U$ is estimated from the equation$$ \frac{1}{U}=\frac{1}{h_{i}}+\frac{1}{h_{o}}$$where $h_...
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​​​​Which of the following statements regarding multiple effect evaporators is/are TRUE?The pressure of the effect with fresh steam is the lowest for both forward feed an...
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​​​​A hot plate is placed in contact with a cold plate of a different thermal conductivity as shown in the figure. The initial temperature (at time $t=0$ ) of the hot pla...
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An adiabatic pump of efficiency $40 \%$ is used to increase the water pressure from $200 \: \mathrm{kPa}$ to $600 \: \mathrm{kPa}$ . The flow rate of water is $600 \mathr...
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Water flowing at $70 \mathrm{~kg} / \mathrm{min}$ is heated from $25^{\circ} \mathrm{C}$ to $65^{\circ} \mathrm{C}$ in a counter-flow double pipe heat exchanger using hot...
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Consider laminar flow of water over a wide flat plate maintained at a uniform temperature of $50^{\circ} \: \mathrm{C}$ as shown in the figure. The freestream velocity an...
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An electrical wire of $2 \: \mathrm{mm}$ diameter and $5 \: \mathrm{m}$ length is insulated with a plastic layer of thickness $2 \: m\mathrm{m }$ and thermal conductivity...
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If the Prandtl number $\operatorname{Pr}=0.01$, which of the following statements is/are correct?The momentum diffusivity is much larger than the thermal diffusivity.The ...
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The opposite faces of a metal slab of thickness $5 \mathrm{~cm}$ and thermal conductivity $400 \mathrm{~W} \mathrm{~m}^{-1}{ }^{\circ} \mathrm{C}^{-1}$ are maintained at ...
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​​​​​​The temperatures of two large parallel plates of equal emissivity are $900 \mathrm{~K}$ and $300 \mathrm{~K}$. A reflection radiation shield of low emissivity and n...
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​​​​​Hot oil at $110{ }^{\circ} \mathrm{C}$ heats water from $30^{\circ} \mathrm{C}$ to $70{ }^{\circ} \mathrm{C}$ in a counter-current double-pipe heat exchanger. The fl...
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​​​​​A solid slab of thickness $H_{1}$ is initially at a uniform temperature $T_{0}$. At time $t=0$, the temperature of the top surface at $y=H_{1}$ is increased to $T_{1...
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Heat is available at a rate of $2 \mathrm{~kW}$ from a thermal reservoir at $400 \mathrm{~K}$. A two-stage process harnesses this heat to produce power. Stages $1$ and $2...
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Match the quantities in Group $1$ with their units in Group $2$ listed in the table below.$$\begin{array}{|l|l|} \hline \qquad \qquad \qquad \textbf{Group 1} & \textbf{Gr...
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A slab of thickness $L$, as shown in the figure below, has cross-sectional area $A$ and constant thermal conductivity $k. T_1$ and $T_2$ are the temperatures at $x=0$ and...
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An isothermal jacketed continous stirred tank reactor (CSTR) operating at $150^{\circ} \mathrm{C}$ is shown in the figure below. The cold feed entering the system at $30^...
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Given that $E$ (in W. $\mathrm{m}^{-2}$ ) is the total hemispherical emissive power of a surface maintained at a certain temperature, which of the following statements is...
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Which of the following statements is/are $\text{CORRECT}$? Bond number includes surface tension. Jakob number includes latent heat. Prandtl number includes liquid-vapor d...
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A fluid is flowing steadily under laminar conditions over a thin rectangular plate at temperature $T_s$ as shown in the figure below. The velocity and temperature of the ...
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A perfectly insulated, concentric tube countercurrent heat exchanger is used to cool lubricating oil using water as a coolant (see figure below). Oil enters the outer ann...
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A perfectly insulated double pipe heat exchanger is operating at steady state. Saturated steam enters the inner pipe at $100^{\circ}C$ and leaves as saturated water at $1...
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Consider a bare long copper wire of $1$ $\text{mm}$ diameter. Its surface temperature is $T_{s}$ and the ambient temperature is $T_{a}\:(T_{s} T_{a})$. The wire is to be...
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Two large parallel planar walls are maintained at $1000\:K$ and $500\:K$. Parallel radiation shields are to be installed between the two walls. Assume that the emissiviti...
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Saturated steam condenses on a vertical plate maintained at a constant wall temperature. If $x$ is the vertical distance from the top edge of the plate, then the local he...
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A cylindrical fin of diameter $24$ $\text{mm}$ is attached horizontally to a vertical planar wall. The heat transfer rate from the tin to the surrounding ar is $60\%$ of ...
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A single-effect evaporator with a heat transfer area of $70\:m^{2}$ concentrates a salt solution using steam. The salt solution feed rate and temperature are $10000\:kg\:...
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The heat of combustion of methane, carbon monoxide and hydrogen are $P$, $Q$ and $R$ respectively. For the reaction below, $$CH_4+H_2O \rightarrow CO+3H_2$$ the heat of r...
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Heat transfer coefficient for a vapor condensing as a film on a vertical surface is given byDittus-Boelter equationNusselt theoryChilton-Colburn analogySieder-Tate equati...
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In a double-pipe heat exchanger of $10 \: m$ length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The temperature profiles of the hot $(T_h)...
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For a shell-and-tube heat exchanger, the clean overall heat transfer coefficient is calculated as $\text{250 W m$^{-2}$ K}^{-1}$ for a specific process condition. It is e...
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A straight fin of uniform circular cross section and adiabatic tip has an aspect ratio (length/diameter) of $4$. If the Biot number (based on the radius of the fin as the...
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A double-effect evaporator is used to concentrate a solution. Steam is sent to the first effect at $110\:^{\circ} C$ and the boiling point of the solution in the second e...
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Consider a solid slab of thickness $2L$ and uniform cross section $A$. The volumetric rate of heat generation within the slab is $\dot{g} \: (W \: m^{-3})$. The slab lose...
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A hollow cylinder of equal length and inner diameter (i.e., $L=D$) is sealed at both ends with flat plate, as shown in the figure. Its inner surfaces, $A_1$, $A_2$, and $...
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A fluid is heated from $40^{\circ}C$ to $60^{\circ} C$ in a countercurrent, double pipe heat exchanger. Hot fluid enters at $100^{\circ}C$ and exits at $70^{\circ}C$. The...
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Consider an infinitely long rectangular fin exposed to a surrounding fluid at a constant temperature $T_a=27^{\circ}C$.The steady state one dimensional energy balance on ...