Practice Unsteady (transient) Conduction (7) - Conduction Heat Transfer
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Unsteady (Transient) Conduction

Practice - Unsteady (Transient) Conduction

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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Reference links

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