Question

Consider the interior nodal configuration of a surface experiencing internal conduction and convection as shown in Figure 2. We have a finite-difference equation describing this situation (for Δχ Δ 2. Ay m, n Tso, h m-1, n m,n = 0 Derive the finite-difference equation for the following situations: a. The boundary is insulated. Explain how the provided m, n-1 Ax equation could be modified to agree with your result. b. The boundary is subjected to a constant heat flux. Figure 2

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Io. m,n on us ing setend on don contece. di pf esence scheme 1m-, n ㅡ 2Tm.ntTmtin t n-l Trn-I, n _ u Tm.nt Tmt1,n+lmn-, f Trnmin mh-1

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