Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the initial temperature distribution in the concrete slab?
💡 Hint: Look for the sine function in the problem statement.
Question 2
Easy
What are the boundary conditions for this problem?
💡 Hint: Consider that the boundaries are insulated.
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 initial temperature distribution of the slab?
💡 Hint: Refer to the section's description for the initial condition.
Question 2
The boundary conditions for the insulation are defined as:
- A) u(0,t)=u(10,t)=100
- B) u(0,t)=u(10,t)=0
- C) u(0,t)≠u(10,t)
💡 Hint: Consider what happens at an insulated boundary.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a concrete slab with modified initial temperature distribution given by $$u(x,0) = 50 + 20 ext{sin}igg( rac{5 ext{π}x}{10}igg)$$. Determine the steady-state temperature profile as time approaches infinity.
💡 Hint: Focus on how oscillating functions behave as they dissipate energy.
Question 2
If the thermal diffusivity, α, changes to 0.5, analyze how this affects the decay time of the temperature wave.
💡 Hint: Think about how thermal properties influence heat behavior.
Challenge and get performance evaluation