All questions of Boiling & Condensation for Mechanical Engineering Exam

In which type of boiling the temperature of the liquid exceeds the saturation temperature?
  • a)
    Forced
  • b)
    Natural
  • c)
    Pool
  • d)
    Saturated
Correct answer is option 'D'. Can you explain this answer?

Explanation:

Boiling is a phase transition from the liquid phase to the vapor phase that occurs when the vapor pressure of the liquid equals or exceeds its atmospheric pressure. Boiling can occur in various types, including forced boiling, natural boiling, pool boiling, and saturated boiling.

Saturated boiling is a type of boiling where the temperature of the liquid exceeds its saturation temperature. The saturation temperature is the temperature at which a liquid boils at a given pressure. In saturated boiling, the liquid is already at its boiling point, but due to external heating or pressure conditions, the temperature of the liquid exceeds the saturation temperature. This can happen in certain conditions, such as:

- High pressure: When the pressure on the liquid is increased significantly, the saturation temperature also increases. If the liquid is heated beyond this increased saturation temperature, it will enter the saturated boiling region.

- Superheating: Superheating occurs when the liquid is heated above its boiling point without boiling. In this case, the liquid temperature exceeds the saturation temperature, and when a nucleation site or disturbance is introduced, rapid boiling can occur. This can happen, for example, when heating a liquid in a very clean container without any impurities or nucleation sites.

In both these cases, the temperature of the liquid exceeds the saturation temperature, thus leading to saturated boiling. Saturated boiling can have different effects and consequences depending on the system and conditions, such as heat transfer rates, pressure changes, and stability of the boiling process.

Conclusion:

In the given options, saturated boiling is the type of boiling where the temperature of the liquid exceeds the saturation temperature. Forced boiling, natural boiling, and pool boiling do not necessarily involve the liquid exceeding the saturation temperature.

When evaporation takes place at the liquid-vapor interface, the heat transfer is solely due to free convection and the film coefficient follows the relation
  • a)
    Nu = f 1 (G r) f 2 (P r)
  • b)
    Nu = 2 f 1 (G r) f 2 (P r)
  • c)
    Nu = 3 f 1 (G r) f 2 (P r)
  • d)
    Nu = 4 f 1 (G r) f 2 (P r)
Correct answer is option 'A'. Can you explain this answer?

Rajat Saini answered
Explanation:

Evaporation at the liquid-vapor interface:
- When evaporation takes place at the liquid-vapor interface, the heat transfer is solely due to free convection.
- This means that heat is transferred through the movement of the fluid itself.

Film coefficient relation:
- The film coefficient in this case can be related using the Nusselt number (Nu) which follows the relation: Nu = f1(G r) f2(P r).
- Here, Nu is the Nusselt number, G r is the Grashof number, and P r is the Prandtl number.
- The function f1 and f2 are dimensionless functions that depend on the flow regime and fluid properties.

Answer:
- The correct relation for the film coefficient in this scenario is given by: Nu = f1(G r) f2(P r).
- This relation takes into account the Grashof and Prandtl numbers which are important parameters in free convection heat transfer.
- Therefore, option 'A' is the correct answer for this question.

What is the value of surface fluid constant for water-copper combination?
  • a)
    0.010
  • b)
    0.011
  • c)
    0.012
  • d)
    0.013
Correct answer is option 'D'. Can you explain this answer?

Shivani Patel answered
The value of the surface fluid constant for a water-copper combination is 0.013.

Explanation:
The surface fluid constant, also known as the interfacial tension, is a property that represents the force per unit length acting at the interface between two immiscible fluids. It quantifies the degree of attraction or repulsion between the two fluids.

In the case of a water-copper combination, the interfacial tension determines the wetting behavior of water on the copper surface. Wetting refers to the ability of a liquid to spread across a solid surface. If the interfacial tension is low, water will spread easily on the copper surface, indicating good wetting. On the other hand, if the interfacial tension is high, water will tend to bead up on the surface, indicating poor wetting.

The value of the surface fluid constant for a specific fluid combination depends on the nature of the fluids and the characteristics of the interface. It can be determined experimentally by measuring the contact angle between the fluid and the solid surface.

In the case of a water-copper combination, the value of the surface fluid constant has been determined to be 0.013. This value indicates that water wets the copper surface well, as the interfacial tension between water and copper is relatively low.

Wetting is an important property in various industrial applications, such as coating processes, heat exchangers, and microfluidic devices. Understanding the wetting behavior of different fluid-solid combinations helps in optimizing these processes and improving their efficiency.

In summary, the value of the surface fluid constant for a water-copper combination is 0.013, indicating good wetting behavior of water on the copper surface.

The transition from laminar to turbulent flow occurs at a critical Reynolds number of
  • a)
    1800
  • b)
    2200
  • c)
    2600
  • d)
    3000
Correct answer is option 'A'. Can you explain this answer?

Uday Mukherjee answered
For turbulent film condensation on vertical surfaces, Kirk bride has suggested the correlation for the average heat transfer coefficient which is valid for Reynolds number greater than 1800.

For laminar film condensation on a vertical plate, the velocity distribution at a distance δ from the top edge is given by
  • a)
    p g (δ y – y/2)/σ
  • b)
    p g (δ y – y 2)/σ
  • c)
    p g (δ y – y 2/2)/σ
  • d)
    p g (δ – y 2/2)/σ
Correct answer is option 'C'. Can you explain this answer?

An equation for the velocity distribution as a function of some distance from the wall surface can be set up by considering the equilibrium between the gravity and viscous forces on an elementary volume of the liquid film.

Spherical bubbles of 3 mm diameter are observed in the bulk fluid boiling of water at standard atmospheric pressure. Assuming pure water vapor in the bubble and vapor pressure equal to 101.325 k N/m2, calculate the temperature of the vapor
  • a)
    100.217 degree Celsius
  • b)
    200.217 degree Celsius
  • c)
    300.217 degree Celsius
  • d)
    400.217 degree Celsius
Correct answer is option 'A'. Can you explain this answer?

Shanaya Bose answered
Calculation of Vaporization Temperature of Water

Given:
Diameter of bubble (d) = 3 mm = 0.003 m
Vapor Pressure of water (Pv) = 101.325 kN/m2

Formula used:
We will use the Laplace's equation to calculate the vaporization temperature of water.

Laplace's equation:
Pv = 2σ/r
Where,
Pv = Vapor Pressure
σ = Surface Tension
r = radius of the bubble

Surface Tension of water (σ) at room temperature is 71.97 mN/m.

Calculation:
We can calculate the radius of bubble (r) from its diameter (d) as follows:
r = d/2 = 0.003/2 = 0.0015 m

Substituting the given values in Laplace's equation:
101.325 × 10^3 = 2 × 71.97 × 10^-3 / 0.0015
101.325 × 10^3 = 95.96 × 10^3 / r
r = 95.96 × 10^3 / 101.325 × 10^3
r = 0.946 m

We can now use the Clausius-Clapeyron equation to calculate the vaporization temperature of water:
ln(Pv/P) = ΔHvap/R(1/Tvap-1/T)
Where,
Pv = Vapor Pressure
P = Atmospheric Pressure
ΔHvap = Enthalpy of vaporization
R = Gas Constant
Tvap = Vaporization Temperature
T = Temperature of water

Assuming the enthalpy of vaporization of water (ΔHvap) at 100 °C to be 40.67 kJ/mol and the gas constant (R) to be 8.314 J/mol-K, we can rewrite the equation as:
ln(101.325 × 10^3/101.325 × 10^3) = 40.67 × 10^3 / 8.314 (1/Tvap - 1/373.15)

Simplifying the equation, we get:
1/Tvap = 1/373.15 + ln(101.325 × 10^3/101.325 × 10^3) × 8.314 / 40.67 × 10^3
1/Tvap = 1/373.15
Tvap = 373.15 K - 273.15
Tvap = 100.217 °C

Therefore, the temperature of the vapor in the bubble is 100.217 °C.

Drop wise condensation usually occurs on
  • a)
    Oily surface
  • b)
    Glazed surface
  • c)
    Smooth surface
  • d)
    Coated surface
Correct answer is option 'A'. Can you explain this answer?

Baishali Roy answered
Drop wise Condensation on Oily Surface

Definition of Drop wise Condensation:
Drop wise condensation is a process in which the vapor condenses into droplets on a surface. This process is different from film condensation, where the vapor condenses as a continuous film on the surface.

Explanation:
Drop wise condensation usually occurs on an oily surface. The reason for this is that the surface tension of the oil droplets is much higher than that of water droplets. When vapor condenses on an oily surface, it forms droplets that are relatively stable due to the high surface tension of the oil.

Characteristics of Oily Surface:
The characteristics of an oily surface, such as its surface tension, viscosity, and wettability, influence the drop wise condensation process. A surface with high surface tension and low wettability will promote drop wise condensation, while a surface with low surface tension and high wettability will promote film condensation.

Advantages of Drop wise Condensation on Oily Surface:
Drop wise condensation on an oily surface has several advantages over film condensation. The droplets formed during drop wise condensation have a larger surface area than the film formed during film condensation. This larger surface area leads to a higher heat transfer coefficient, which means that more heat can be transferred in a shorter amount of time.

Applications of Drop wise Condensation on Oily Surface:
Drop wise condensation on an oily surface is used in various industrial applications, such as in heat exchangers, distillation columns, and condensers. The use of drop wise condensation can improve the efficiency of these processes by increasing the heat transfer rate.

Conclusion:
In conclusion, drop wise condensation usually occurs on an oily surface due to the high surface tension of the oil droplets. This process has several advantages over film condensation and is used in various industrial applications to improve the efficiency of heat transfer processes.

Chapter doubts & questions for Boiling & Condensation - 6 Months Preparation for GATE Mechanical 2025 is part of Mechanical Engineering exam preparation. The chapters have been prepared according to the Mechanical Engineering exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Mechanical Engineering 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Boiling & Condensation - 6 Months Preparation for GATE Mechanical in English & Hindi are available as part of Mechanical Engineering exam. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.

Top Courses Mechanical Engineering