Practice Lumped System Approximation (4) - Conduction Heat Transfer - Heat Transfer & Thermal Machines
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Lumped System Approximation

Practice - Lumped System Approximation

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Lumped System Approximation?

💡 Hint: Think about the assumption made about temperatures.

Question 2 Easy

What Biot number indicates the validity of the Lumped System?

💡 Hint: What limit affects uniform temperature assumption?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does a Biot number less than 0.1 imply?

High internal resistance
Uniform temperature assumption
Temperature variation inside

💡 Hint: Consider the implications of small Biot values.

Question 2

True or False: The Lumped System Approximation can be used for very large objects with low thermal conductivity.

True
False

💡 Hint: Think about the relationship between size and approximation.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A metal rod with a thermal conductivity of 50 W/(m·K), characteristic length of 0.1 m, and a heat transfer coefficient of 25 W/(m²·K) is heated. Is the Lumped System Approximation valid?

💡 Hint: Compute the Biot number and check its value.

Challenge 2 Hard

Consider a composite object, part of which is very thick, and part is thin. Discuss the applicability of the Lumped System Approximation to the whole object.

💡 Hint: Analyze sections based on their geometrical properties and Bi values.

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Reference links

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