Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Draw the finite difference grid to predict the temperature of all points up to 4 seconds. Label all unknown temperatures on the grid. Determine all the unknown temperatures. Analyze why the heat conduction in this question is more suitable to be solved using he implicit finite-difference approach.

Draw the finite difference grid to predict the temperature of all points up to 4 seconds. Label all unknown temperatures on the grid. Determine all the unknown temperatures. Analyze why the heat conduction in this question is more suitable to be solved using he implicit finite-difference approach.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
Q3 The heat transfer performance of a new conductor bar of length 20 cm is under inspection. The material is fully insulated such that the heat transfer is only one dimensional in axial direction (x-axis). The left end is maintained at temperature of 100°C, while the right end is maintained at temperature of 20°C, for >0. The distribution of the initial temperatures is shown in Figure Q3. The unsteady state heat conduction equation is given by; ax =0 Where is a thermal diffusivity of material and x is the longitudinal coordinate of the bar. The thermal diffusivity of the material is given as x=10 cm²/s, and A = 2 second.
Transcribed Image Text:Q3 The heat transfer performance of a new conductor bar of length 20 cm is under inspection. The material is fully insulated such that the heat transfer is only one dimensional in axial direction (x-axis). The left end is maintained at temperature of 100°C, while the right end is maintained at temperature of 20°C, for >0. The distribution of the initial temperatures is shown in Figure Q3. The unsteady state heat conduction equation is given by; ax =0 Where is a thermal diffusivity of material and x is the longitudinal coordinate of the bar. The thermal diffusivity of the material is given as x=10 cm²/s, and A = 2 second.
Draw the finite difference grid to predict the temperature of all points up to 4 seconds. Label all unknown temperatures on the grid. Determine all the unknown temperatures. Analyze why the heat conduction in this question is more suitable to be solved using the implicit finite-difference approach.
Transcribed Image Text:Draw the finite difference grid to predict the temperature of all points up to 4 seconds. Label all unknown temperatures on the grid. Determine all the unknown temperatures. Analyze why the heat conduction in this question is more suitable to be solved using the implicit finite-difference approach.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS