Question

Consider a long bar of square cross section (0.8 m to the side) and of thermal conductivity 2 W/m*K. Three of these sides are maintained at a uniform temperature of 400 deg C. The fourth side is at 100 deg C. Using an appropriate numerical technique, determine the temperatures throughout the bar.

Name: consider a long bar of square cross section 08 m to the side and of thermal conductivity 2 wmk three of these sides are maintained at a uniform temperature of 400 deg c the fourth side is at 78101
Uploaded: 2023-03-09T11:11:04-08:00
Duration: 3 min 29 s
Channel: Sri K
Description: consider a long bar of square cross section 08 m to the side and of thermal conductivity 2 wmk three of these sides are maintained at a uniform temperature of 400 deg c the fourth side is at 78101

          Consider a long bar of square cross section (0.8 m to the side) and of thermal conductivity 2 W/m*K. Three of these sides are maintained at a uniform temperature of 400 deg C. The fourth side is at 100 deg C.
Using an appropriate numerical technique, determine the temperatures throughout the bar.

Added by Brianna D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

03/09/2023

Step 1

The heat conduction equation is given by: \[ \frac{d}{dx} (kA \frac{dT}{dx}) = Q \] where: - \( k \) = thermal conductivity (2 W/m*K) - \( A \) = cross-sectional area of the bar - \( T \) = temperature - \( Q \) = heat generation term (assumed to be zero in this Show more…

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Consider a long bar of square cross section (0.8 m to the side) and of thermal conductivity 2 W/m*K. Three of these sides are maintained at a uniform temperature of 400 deg C. The fourth side is at 100 deg C. Using an appropriate numerical technique, determine the temperatures throughout the bar.