Question

A slab of thickness 6cm ond d = 2x10 5m2/s. as on initial temperature distribution of T= 100 sin (De) suddenly the boundarges kept at Ax=6 cm r=0 at o' while is insulated by using the explicit FD. obtain I min Start of slab at the the temperature and at end of s min after of cooling

please solve analyticaly dont use any software

Answer 1

og er go 2) Dn=2x152 m ;= {to u T=0°C [too) 3) Titi -Tìm N=2 3) using explicit scherme n io nje Tinti_ gin eri | Pin_25577m) - - 2 on At According to stability criteria DA A E At - Ixone 2x = 10sec

chorsing At = 10 sec 171) - 17 4 6-5 1-1 - 2 77Try General nodal equation T;74 | - 0 5 - 4 0-5 ปี+) 4) Nodal equations Det=2 5 ,7+, 6S 77+0-ST3 25 23 57t1 - 6.5 557 10:57 At iะฯ ) 7 . 8.5โว 405767 T7 - 13 At i=4 =0 141 -6 Tr=) TM TV time T- | 160 | $0 | 866 | 18 &# 4830] #4334 25 0 | 31 | 6995 6 | 32 หi S6:25 | 6445 6 โม- vs นงๆ s6- (24,365 น. 132 | 18-21 6 (2159 36-39 | 42 - 18) 0 18, 2121- 6uox 36539