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Practice Questions
Test your understanding with targeted questions related to the topic.
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?
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 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.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation