Practice Unsteady (Transient) Conduction - 7 | Conduction Heat Transfer | Heat Transfer & Thermal Machines
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7 - Unsteady (Transient) Conduction

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the heat diffusion equation?

💡 Hint: Consider how temperature changes as time progresses.

Question 2

Easy

What does \( \alpha \) represent in thermal analysis?

💡 Hint: Think about how well a material conducts heat.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the governing equation for unsteady conduction?

  • \\( T = \\alpha x^2 \\)
  • \\( \\frac{\\partial T}{\\partial t} = \\alpha \\nabla^2 T \\)
  • \\( q = -kA \\frac{dT}{dx} \\)

💡 Hint: Remember how temperature evolves with time.

Question 2

Heisler charts are used to visualize which aspect of unsteady conduction?

  • True
  • False

💡 Hint: Consider visualization tools in engineering.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A metal rod is heated at one end to a temperature of 100°C while the other remains at room temperature (20°C). If the rod has a length of 1m and thermal diffusivity of 0.1 cm²/s, determine the temperature distribution after 10 seconds.

💡 Hint: You may need to reference heat conduction equations and possibly numerical methods for transient analysis.

Question 2

A wall of thickness 0.2m has a sudden change in surface temperature from 25°C to 75°C. If the thermal conductivity is 0.6 W/m·K, find the time taken for the center of the wall to reach 50°C assuming a uniform temperature change.

💡 Hint: Remember to use Fourier's law to relate how temperature varies with thickness.

Challenge and get performance evaluation