(c) Determine all the unknown temperatures. (d) 11 Analyze why the heat conduction in this question is more suitable to be solved using the implicit finite-difference approach.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

please answer qiuckly

85°C
A
Ar
Ar
AT
55°C
с
Ar
70°C
30°C
B
D
Figure Q3: Distribution of the initial temperatures
25°C
E
Transcribed Image Text:85°C A Ar Ar AT 55°C с Ar 70°C 30°C B D Figure Q3: Distribution of the initial temperatures 25°C E
03
DUA 24103
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 temperature of 20°C, for r>0. The distribution of the initial temperatures is
shown in Figure Q3. The unsteady state heat conduction equation is given by:
a
Where A'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 cm³/s, and Ar=2 second.
(c)
(d)
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:03 DUA 24103 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 temperature of 20°C, for r>0. The distribution of the initial temperatures is shown in Figure Q3. The unsteady state heat conduction equation is given by: a Where A'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 cm³/s, and Ar=2 second. (c) (d) 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

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,