Steady-State Heat Conduction (Boundary Value Problems)
Reference: Logan, A First Course in Differential Equations, 3rd ed., §2.6 "Steady-State Heat Conduction (Boundary Value Problems)", pp. 130-136
Textbook Reference
| Primary source | Logan, A First Course in Differential Equations, 3rd ed., §2.6 “Steady-State Heat Conduction (Boundary Value Problems)”, pp. 130-136 |
| Reading | Pages 130 to 136 |
The reading is Logan §2.6, pages 130 to 136.
Objectives
- Derive the steady-state heat equation from the flux and source relations
- Solve the boundary value problem and show the temperature profile is linear for constant conductivity
- Handle variable conductivity by integration
- Recognize the difference between a boundary value problem and an initial value problem
Prerequisite Check
These come first:
- Solving a second-order linear equation
- Integration techniques
Status
The Logan reading, the learning targets, and the prerequisites are above. Worked examples and a leveled practice set are not written yet.