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Consider the BVP of 2D Laplace equation with axial symmetry in an annulus 10 r Ər u(1) = 3, u(R) = UR (rou) = 0, r ≤ (1, R) In our mathematical abstraction in the case of large R, we want to replace the BVP for r € (1, R) with one for r = (1, 0). Which one below should we use? O None of the BVPs listed. 0 1 O 18 ¹-2 (rou) = 0, r ≤ (1, ∞0) dr u(1) = 3, u(co) = 0 2/ (73) = = 0, re (1,00) r Ər u(1) 3, u(oo) = 1 Ə - 3 (73²) = 0, r ≤ (1,∞) dr u(1)=3, u(x) = finite 1 8 of ¹ d ( du Tər u(1)=3, u(x) = UR - (ru) = 0, = 0, re (1, ∞0) 4

Consider the BVP of 2D Laplace equation with axial symmetry in an annulus 10 r Ər u(1) = 3, u(R) = UR (rou) = 0, r ≤ (1, R) In our mathematical abstraction in the case of large R, we want to replace the BVP for r € (1, R) with one for r = (1, 0). Which one below should we use? O None of the BVPs listed. 0 1 O 18 ¹-2 (rou) = 0, r ≤ (1, ∞0) dr u(1) = 3, u(co) = 0 2/ (73) = = 0, re (1,00) r Ər u(1) 3, u(oo) = 1 Ə - 3 (73²) = 0, r ≤ (1,∞) dr u(1)=3, u(x) = finite 1 8 of ¹ d ( du Tər u(1)=3, u(x) = UR - (ru) = 0, = 0, re (1, ∞0) 4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 39E
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Manuben 

Consider the BVP of 2D Laplace equation with axial symmetry in an annulus 18 r Ər u(1)= 3, u(R) = UR („Du ) = 0, r ≤ (1, R) In our mathematical abstraction in the case of large R, we want to replace the BVP for r € (1, R) with one for TE (1, ∞). Which one below should we use? O O None of the BVPs listed. or (rou) – 0, r ≤ (1,∞0) r Ər u(1)3, u(co) = 0 ( 12 (3) = 0, r € (1, ∞0) r Ər u(1)= 3, u(o0) = 1 1 8 - (OH) = TƏT = 0, r = (1,00) (1) - 3, u(∞o) = finite 18 ( ²2 (3) = u(1) u(1) = 3, u(oo) = UR Tər = 0, re (1,00) B
Transcribed Image Text:Consider the BVP of 2D Laplace equation with axial symmetry in an annulus 18 r Ər u(1)= 3, u(R) = UR („Du ) = 0, r ≤ (1, R) In our mathematical abstraction in the case of large R, we want to replace the BVP for r € (1, R) with one for TE (1, ∞). Which one below should we use? O O None of the BVPs listed. or (rou) – 0, r ≤ (1,∞0) r Ər u(1)3, u(co) = 0 ( 12 (3) = 0, r € (1, ∞0) r Ər u(1)= 3, u(o0) = 1 1 8 - (OH) = TƏT = 0, r = (1,00) (1) - 3, u(∞o) = finite 18 ( ²2 (3) = u(1) u(1) = 3, u(oo) = UR Tər = 0, re (1,00) B
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