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Problems : Conduction: One Dimensional, Heat Transfer

Frequently Asked Questions and Problems for Practice

Q.1	Write the driving force for electricity, fluid, and heat flow and discuss the similarity among them.
Q.2	What is the ratio of heat flux through area A1 and area A2 of an irregular pipeline shown in the figure below? The area A1 and A2 are same and the curved surface is well insulated for any kind of heat loss at steady state.
Q.3	What is the unit of thermal conductivity?
Q.4	What is the significance of log mean area?
Q.5	A hollow cylinder has two different layers of insulation of same thickness but different thermal conductivity. The outer diameter of the insulated cylinder is double that of the inner diameter of the cylinder. What will be the change in heat flow if the insulation layers are interchanged considering the same temperature driving force? The thermal conductivity of the inner layer is considered to be the four times that of the other layer for previous case.
Q.6	A thick wall of 30 cm thick and 20 W/(m·^oC) of thermal conductivity has one surface (maintained at 250^oC) and the opposite surface is completely insulated. The heat is generated in the wall at a uniform volumetric rate of 180 kW/m³. Determine the following, a. the temperature distribution in the wall at steady state, b. the maximum wall temperature and its location, and c. the average wall temperature.
Q.7	A hollow aluminium sphere having inner diameter of 5 cm and outer diameter of 10 cm is maintained at 100 ^oC and 50 ^oC at inside and outside of the sphere. Calculate the heat flux at the outer surface.
Q.8	A hot steam pipe (k = 50 W/m·^oC) having an inner diameter of 8 cm is at 250 ^oC. The thickness of the wall is 5.5 mm. The pipe is covered with a 90 mm layer of insulation (k = 0.2 W/m·^oC) followed by a 40 mm layer of insulation (k = 0.3 W/m·^oC) . The outside temperature of the insulation is 20 ^oC. Calculate the heat loss per unit of the pipe length.
Q.9	Consider a plane wall having uniformly distributed heat sources and one face maintained at a temperature T₁ while the other face is maintained at a temperature T₂. The thickness of the wall may be taken as 2t. Derive an expression for the temperature distribution in the plane wall.
Q.10	Derive an expression for the temperature distribution in a sphere of radius R with uniform heat generation and constant surface temperature.

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FAQs on Problems: Conduction - 1D - Heat Transfer - Mechanical Engineering

1. What is conduction in 1D chemical engineering?

Ans. Conduction in 1D chemical engineering refers to the transfer of heat or mass through a solid material in one dimension. It occurs when there is a temperature or concentration gradient within the material, causing the molecules to transfer energy or particles from higher to lower concentrations.

2. How is conduction in 1D chemical engineering different from convection?

Ans. Conduction in 1D chemical engineering involves the transfer of heat or mass within a solid material, whereas convection involves the transfer of heat or mass through a fluid medium. In conduction, the transfer occurs through direct contact between particles, while in convection, it occurs through the movement of the fluid itself.

3. What factors affect the rate of conduction in 1D chemical engineering?

Ans. The rate of conduction in 1D chemical engineering is influenced by several factors, including the thermal conductivity of the material, the temperature or concentration gradient, the thickness of the material, and the surface area through which the transfer occurs. Additionally, the presence of any barriers or insulating layers can also affect the conduction rate.

4. How is conduction in 1D chemical engineering used in practical applications?

Ans. Conduction in 1D chemical engineering is utilized in various practical applications. For example, it is commonly used in the design and analysis of heat exchangers, where heat transfer between two fluids occurs through a solid wall. It is also important in the design of insulation materials to control heat loss or gain in industrial processes.

5. What are the limitations of conduction in 1D chemical engineering?

Ans. Conduction in 1D chemical engineering has certain limitations. One limitation is that it is only effective in materials that can conduct heat or mass. Materials with low thermal conductivity, such as insulators, may not allow efficient conduction. Additionally, conduction is limited by the temperature or concentration gradient, as a large gradient is required for significant transfer.

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Document Description: Problems: Conduction - 1D for Mechanical Engineering 2024 is part of Heat Transfer preparation. The notes and questions for Problems: Conduction - 1D have been prepared according to the Mechanical Engineering exam syllabus. Information about Problems: Conduction - 1D covers topics like and Problems: Conduction - 1D Example, for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Problems: Conduction - 1D.

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