The heat distribution of a long thin rod can be determined by given heat- conduction equation aT OT ax2 at where k 0.8 cm2s is the diffusivity constant. The initial and boundary conditions are

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
Can i know the answer to this question with full working so i can understand?
The heat distribution of a long thin rod can be determined by given heat-
conduction equation
ax2
dt
where k 0.8 cm2s1 is the diffusivity constant. The initial and boundary
conditions are
node 0
T S0 C
T 20 °C
9cm
T(0, x) = 80 C,
T(t, 0) = 40°C,
T(t,9) 20'C.
Use the explicit method to find the temperature at node 1
where t 0.2 s by using At = 0.1 sec is
Select one:
40.7134°C
40.6956°C
40.6882°C
40.7033 °C
Transcribed Image Text:The heat distribution of a long thin rod can be determined by given heat- conduction equation ax2 dt where k 0.8 cm2s1 is the diffusivity constant. The initial and boundary conditions are node 0 T S0 C T 20 °C 9cm T(0, x) = 80 C, T(t, 0) = 40°C, T(t,9) 20'C. Use the explicit method to find the temperature at node 1 where t 0.2 s by using At = 0.1 sec is Select one: 40.7134°C 40.6956°C 40.6882°C 40.7033 °C
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,