Chapter 5 Numerical Methods in Heat Conduction iiiiiiiiiiiiiiiiiiiiTTTTmTTTTmTTTTmTTTTmTTTTm5641545314342132311212011)21()(:)5(5Node)21()(:)4(4Node)21()(:)3(3Node)21()(:)2(2Node)21()(:)1(1Nodeτ−++==−++==−++==−++==−++==+++++Node 6 tTTCxAxTTkAqATTAhiiiiiiiΔ−Δ=Δ−+−+61665solar6outout2+)(ρκ&or kxqTkxhTTkxhTiiiiiΔ+Δ+⎟⎟⎠⎞⎜⎜⎝⎛Δ−−=+solaroutout56out16222+221&ττwhere L = 0.30 m, k= 0.70 W/m.°C, , Tα=×−044 106. m2/soutand are as given in the table, &qsolar=0.76 hout= 3.4 W/m2.°C, Tin= 20°C, hin= 9.1 W/m2.°C, and Δx= 0.05 m. Next we need to determine the upper limit of the time step Δtfrom the stability criteria since we are using the explicit method. This requires the identification of the smallest primary coefficient in the system. We know that the boundary nodes are more restrictive than the interior nodes, and thus we examine the formulations of the boundary nodes 0 and 6 only. The smallest and thus the most restrictive
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.