Question

For steady flow and constant value of conductivity, the temperature distribution for a plane wall is:

• A. parabolic
• B. linear
• C. logarithmic
• D. cubic

Hint:

For steady-state heat conduction through a plane wall with constant properties, the temperature distribution is always linear.

Answer 1

The Correct Option is B

Step 1: Steady-state heat conduction in a plane wall.
For steady-state heat conduction through a plane wall with constant thermal conductivity, the temperature distribution is linear. This follows from Fourier's law of heat conduction: \[ q = -k \frac{dT}{dx} \] Where: - \( q \) is the heat flux (constant in steady-state), - \( k \) is the thermal conductivity (constant), - \( \frac{dT}{dx} \) is the temperature gradient. The solution to this equation, given constant properties and boundary conditions, results in a linear temperature distribution across the plane wall.

Final Answer: \[ \boxed{\text{linear}} \]