Question

Homework: Assignment (1.1) Score: 0 of 1 pt 11 of 11 (10 complete 1.1.34 10° An important concern in the study of heat transfer is to determine the steady-state temperature distribution of a thin plate when the temperature around the boundary is known. The figure represents 25° 25° a cross section of a metal beam, with negligible heat flow in the direction perpendicular to the plate. Let T1, ..., TA denote the temperatures at the four interior nodes of the figure. The temperature at a node is approximately equal to the average of the 10° four nearest nodes-to the left, above, to the right, and below. Solve the system of equations below to find the temperatures T. 30° 30° ..., T4 4T, - T₂ - TA=35 -T, +4T2- Tg = 75 - T2+4T3 - TA = 80 Select the correct choice below and, if necessary, fill in the answer boxes to complete your cho of the evstem is

Answer 1

binal equation 40, - ), — T = 38 — + 4), — 0, 25 -1, +4, — Tu = — Т. 1, 4 уч – чо Ги - о - 75, 7 15 1 тот, ттто г. тото 80 UO 1 у [DB] - Gaus elimination 3 1 1 - тот, | и - 1 о o - 1 - -1 2 - ч 8о | чо] , = 2, 4, 4 - о - за Bus Br +420 13 -4 -4 3gs Jo - A - 80 [o ~1 - Is 19s 1 - о - 45 1 o 15 -4 - 333 | о - н- 80 о -1 -1 15 19s = 2, +1324 Гц - о - 3s 4 = P Q+ 15 Pч | o ts - - 335 o o 56 — 16 86S o o - 64 994 3260 ]

Ru=Rg+ (36) Ru 15 0 To 0 0 - 35 -u - 335 56 -16 865 0 180 3717,5] =) 180 Tu = 3717.5 Tu = 20.652°C =) 5653 - 167u = 865 D2 = 21.347°c - 1582-433-Ju = 335 12 = 15.264°C 481-12 -Iu = 35 T = 14.7298 uwiele solution's - 19.429 °C, 33 = 21.347°C 12 = 15.264°C Ju=20.652°C.