Practice Cartesian Coordinates (Plane wall) - 1.1 | Conduction Heat Transfer | Heat Transfer & Thermal Machines
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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 conduction in a plane wall?

πŸ’‘ Hint: Think about what steady state and no heat generation imply.

Question 2

Easy

What does the variable 'k' represent in the heat transfer equation?

πŸ’‘ Hint: It is a property that characterizes how well a material conducts heat.

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 formula for the governing equation in steady-state conduction for a plane wall?

  • \\( \\frac{dT}{dx} = 0 \\)
  • \\( \\frac{d^2T}{dx^2} = 0 \\)
  • \\( \\frac{d^2T}{dt^2} = 0 \\)

πŸ’‘ Hint: Look for the equation that represents no change in temperature curvature.

Question 2

True or False: The general solution for temperature distribution in a plane wall is quadratic.

  • True
  • False

πŸ’‘ Hint: Consider the form of the equation mentioned.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A metal wall of thickness 0.3 m has one side at 150Β°C and the other at 50Β°C. Calculate the heat transfer rate if k = 10 W/mΒ·K and the area is 1 mΒ².

πŸ’‘ Hint: Remember to find the temperature gradient first!

Question 2

Determine the critical thickness of insulation for a cylindrical pipe where k = 0.5 W/mΒ·K and h = 100 W/mΒ²K.

πŸ’‘ Hint: This concept applies to determining how insulation affects heat loss.

Challenge and get performance evaluation