Q. 2 | Pre) B sin (68) 30° @ R-R ueTEHIERATURE FLAT PLATE WITH A SHAPEOFA SICTOR. FIND THE TEHPERATURE AT STEADY- STATF CONDITIONS. WRITE THE 2D HEAT FQUATION (TRANSIENT)N X AND Y COORDINATE. 2) MAKE IT STEADY, WHAT EQJATION IS THIS 3) {HINT: CYLINpriCAL CDOADINATES WITH VSE Now A CONVENIENT COORDINATE SYISTM 4) FIND A SOLUTION USING THE FOURIER METHOD I) SEPARATION OF VARIABLES: OBTAIN TWo ODES IN O ANDR II SATISFY THE B.e.IN ONEVARIABLJ HINT: te-EQUATION, 2 PossI BLE CuOIas OF K =o OR # SHINT: &- EQUATION, 3 rossI BLS CHOICJSOK WHAT KS HOULD YOU Jsa? IL) FULL SOLUTION
Q. 2 | Pre) B sin (68) 30° @ R-R ueTEHIERATURE FLAT PLATE WITH A SHAPEOFA SICTOR. FIND THE TEHPERATURE AT STEADY- STATF CONDITIONS. WRITE THE 2D HEAT FQUATION (TRANSIENT)N X AND Y COORDINATE. 2) MAKE IT STEADY, WHAT EQJATION IS THIS 3) {HINT: CYLINpriCAL CDOADINATES WITH VSE Now A CONVENIENT COORDINATE SYISTM 4) FIND A SOLUTION USING THE FOURIER METHOD I) SEPARATION OF VARIABLES: OBTAIN TWo ODES IN O ANDR II SATISFY THE B.e.IN ONEVARIABLJ HINT: te-EQUATION, 2 PossI BLE CuOIas OF K =o OR # SHINT: &- EQUATION, 3 rossI BLS CHOICJSOK WHAT KS HOULD YOU Jsa? IL) FULL SOLUTION
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q. 2
| Pre) B
sin (68)
30°
@R-R
ue TEHIERATURE
FLAT PLATE WITH A SHAPEOFA
SICTOR.
FIND
THE TEHPERATURE AT STEADY- STATF
CONDITIONS.
WRITE THE 2D HEAT FQUATION (TRANSIENT)N
X AND Y COORDINATE.
2) MAKE IT STEADY, WHAT EQUATION IS THIS
3)
{HINT: CYLINpriCAL CDOADINATES WITH
VSE Now A CONVENIENT COORDINATE SYISTM
4) FIND A SOLUTION USING THE FOURIER MeTHOD
I) SEPARATION OF VARIABLES:
OBTAIN TWo ODES IN O ANDR
II SATISFY THE B.e.IN ONEVARIABLJ
HINT: te-EQUATION, 2 PossI BLE CHOIcs OF K (=o OR #
SHINT: &- EQUATION, 3 rossi BLS CHOICJEOK
WHAT KS HOULD YOU Jsa?
IL) FULL SOLUTION
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