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).
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b248bcb-d422-475d-9311-e6ae6a3d6b31%2Fb9907d2f-5734-4320-ae02-60c36004bf52%2Fymjhbqr_processed.png&w=3840&q=75)
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).
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