Question

Could someone help me to solve this problem? Please explain the steps

Insulated x1 x 2 x 3 x4 x5 x 6 x7 x8 x9 x10 x1 x12 x13 x14 x15 x16 x17 x18 x19 x20 x21 x22 x23 x24 x25 T 30 ← |T-50C h- 500 W/m2 C T-20 C 1. 2. Write the Finite Volume equation for node 23. [3 points] Write the 23"d line of the coefficient matrix and the right hand side [2 points] [ k-200 W/m. K,ax=0.5 m, ay=0.5 m]

Answer 1

Finite volume method fo a Pauticur mode of heat energy thylough -the contJ。) volume oundbany of a given mocde equad to the oti ot heat genurat : en inside tha contnol voltume od. a Steacly state t can be old hot t ga heat enongs balance equaion utinizing the heat fiuz ad bourclaries Fite Vorume eauatien foi node 23: 18 ov T32 123 T34 Suppoge we ave takoen hori entar grid

the oougin of a cootdinate system Such doect:em Let's say Δ1° Ag. T3M- T93 Ki 193-T3 23 Δ2-ha -lo [TaLi tT92tTig).th(3%)+

on e Nouo Pogte he values of the above eauatiem kie on°ω enoug hvalueg to cheat!ene Co ffficient matiy for each rode and Calcilale tha Hempenature Bed, SPecificouy for node 3 atove eqtuatien toin coonk jst tine and sha ight hand Sde of tha motuiz zeno matsux of Sie 1 by 1 element given.