Concept explainers
The nondimensional form for the transient heat conduction in an insulated rod (Eq. 30.1)
can be written as
wherenondimensional space, time, and temperature are defined as
where
Boundary conditions |
|
|
Initial conditions |
|
|
Solve this nondimensional equation for the temperature distribution using finite-difference methods and a second-order accurate Crank-Nicolson formulation to integrate in time. Write a computer program to program to obtain the solution. Increase the value of
Want to see the full answer?
Check out a sample textbook solutionChapter 30 Solutions
Package: Numerical Methods For Engineers With 2 Semester Connect Access Card
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,