Question

finite element method

The equation for the heat diffusion of a one-dimensional system widh heat generation in a Cartesian coordinate system is 4. d'T dx2 The rate of thermal energy generation q represents the convessice of enery os electrical, chemical, nuclear, or electromagnetic forms to thermal energy witin the volume of a given system. Derive the contribution of á to the load matrix. Consider a strip of heating elements embedded within the rear glass of a car peoducing a uniform heat generation at a rate of approximately 7000 W/m3. The glass has chamal conductivity of k -0.8 W/m. C with a thickness of approximately 6 mm. The het transfer coefficient associated with the 20°C air inside the back of the is approximately 20 W/m2.K. The outside air is at a temperature of -S'C with an associated heat transfer coefficient of 50 W/m2.K Determine the temperatures of the inner and outer surfaces of the gls

Answer 1

dx Paçe Date : 2k 7000w outside 7000 x(-3x10"ワ246で3x10万 -T :20 w/ 오 X 0.8 Also, |오- 0.039375-t 0.003G tC2 vou, RdT (s'gn const-ten 邑(TE-20) 0.8 (000.)) + Ci 4. 2 + 0.8G 20 Ti -400 4.24400 +0.8C-20 Ti 0-8 lso 0-8 0. 3 2OTI-404-2-24S-8, SUT 0.8 ヲ 0.8 (iij 1-12-4--0 .006 g 0.006-(20T1-404. 2)- 0.8

11リーア ly) 0、271-0. 812 = 2. 4251 (TV 130%--84-12 :) T2 = -0.647 077°C ヲ 11 242-52 +80左ヒ 9.537c9 °C , 20