Consider the temperature distribution in a 2 x 1 rectangular plate as described in the figure belov Show that the steady-state temperature distribution u (r, y) in the plate is given by u (1, y) n sinh # (1 + (-1)") sin "L sinh "x (1 – y) . Calculate the steady-sate temperature at the cœntre of the plate. Ice at 0°- Ice at 0° Ice at 0° Boiling water at 100°

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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PARTIAL DIFFERENTIAL EQUATIONS
PLEASE ANSWER ALL QUESTIONS
Consider the temperature distribution in a 2 x 1 rectangular plate as described in the figure below.
Show that the steady-state temperature distribution u (1, y) in the plate is given by
200
пя (1- у)
u (1, 3) = Esinh
:(1 +(-1)") sin -
sinh
n sinh
n=1
2
Calculate the steady-sate temperature at the centre of the plate.
Ice at 0°-
1
Ice at 0°
Ice at 0°
Boiling water at 100°
all
06:14 PM
2022-05-10
Page: 1 of 1
Words: 7
E EA E E E
100% -
+)
Transcribed Image Text:W Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? A Find - A % Cut - =。 青 Calibri (Body) - 11 A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace Paste BI U abe x, x* A ab A I Normal I No Spaci. Heading 1 Change Styles . Heading 2 Title Subtitle W A Select - Format Painter Clipboard Font Paragraph Styles Editing • 2. 1:. I' 2: 1 : 3:1 • 4.I 5.1' 6.1'7 I'8: 1 9 ' 10.L· 11: 1 ' 12.'13 · L 14: 1· 15.1A L'17:1 18 PARTIAL DIFFERENTIAL EQUATIONS PLEASE ANSWER ALL QUESTIONS Consider the temperature distribution in a 2 x 1 rectangular plate as described in the figure below. Show that the steady-state temperature distribution u (1, y) in the plate is given by 200 пя (1- у) u (1, 3) = Esinh :(1 +(-1)") sin - sinh n sinh n=1 2 Calculate the steady-sate temperature at the centre of the plate. Ice at 0°- 1 Ice at 0° Ice at 0° Boiling water at 100° all 06:14 PM 2022-05-10 Page: 1 of 1 Words: 7 E EA E E E 100% - +)
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