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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the governing equation for steady-state heat conduction in Cartesian coordinates?
💡 Hint: Think about the second derivative of temperature with respect to distance.
Question 2
Easy
Define conduction resistance.
💡 Hint: What are those variables related to?
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 a plane wall with no heat generation?
- $$\\frac{d^2T}{dx^2} = 0$$
- $$\\frac{dT}{dx} = 0$$
- $$T = kx$$
💡 Hint: Think about how the temperature changes across the wall.
Question 2
True or False: The critical thickness of insulation increases heat loss.
- True
- False
💡 Hint: Consider the effect of surface area and conductivity.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A cylindrical pipe has a radius of 2 cm and outer radius of 4 cm. What is the critical thickness of insulation needed if the thermal conductivity is 0.04 W/m·K and the convective heat transfer coefficient is 10 W/m²·K?
💡 Hint: Think about insulation geometry when applying the critical thickness concept.
Question 2
In a hollow sphere, if the inner radius is 10 cm and the outer radius is 12 cm, explain how the heat loss changes with a temperature difference of 50°C.
💡 Hint: Analyze how the thermal gradient affects the calculated heat transfer.
Challenge and get performance evaluation