2. Consider steady heat conduction in polar coordinates: V2T(r, 0) = 0, where 0 ≤r ≤ a and 0 ≤ 0 ≤ π/2 with the following boundary conditions: T(r,0 = 0) 0,T(r, 0 = π/2) = 0,T(r = = 3 sin 40 = a, 0) (a) Sketch the domain of interest (note: it is not a full circle), (b) Solve analytically for T(r, 0). Show all steps of the procedure. = (c) Plot the solution. You can use the supplied code skeleton; be sure to also copy po- larplot3d.m to your working folder (but don't include it with your submission).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
Question
2. Consider steady heat conduction in polar coordinates:
V2T(r, 0) = 0,
where 0 ≤r ≤ a and 0 ≤ 0 ≤ π/2 with the following boundary conditions: T(r,0 = 0)
0,T(r, 0 = π/2) = 0,T(r
= = 3 sin 40
= a, 0)
(a) Sketch the domain of interest (note: it is not a full circle),
(b) Solve analytically for T(r, 0). Show all steps of the procedure.
=
(c) Plot the solution. You can use the supplied code skeleton; be sure to also copy po-
larplot3d.m to your working folder (but don't include it with your submission).
Transcribed Image Text:2. Consider steady heat conduction in polar coordinates: V2T(r, 0) = 0, where 0 ≤r ≤ a and 0 ≤ 0 ≤ π/2 with the following boundary conditions: T(r,0 = 0) 0,T(r, 0 = π/2) = 0,T(r = = 3 sin 40 = a, 0) (a) Sketch the domain of interest (note: it is not a full circle), (b) Solve analytically for T(r, 0). Show all steps of the procedure. = (c) Plot the solution. You can use the supplied code skeleton; be sure to also copy po- larplot3d.m to your working folder (but don't include it with your submission).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 6 images

Blurred answer