Consider a heavily insulated roof on a hot day with temperature T. The roof gains heat...

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Consider a heavily insulated roof on a hot day with temperature T. The roof gains heat from direct sunlight but loses heat to the surrounding air and surroundings. The governing equation is. aG=h(Ts - Tair) + GE(T¹ - Tur) In this example, a = = 0.5, G = 1000 W/m², Tair = 313 K, h = 100 W/m²K. Tsur = 100 K. and a = 5.67 x 10-8 W/m²K. a. Define x T, show = aG-h(x-25-Tair) OE x = Tsur + b. Applying the result of Part (a) will result in divergence, so create a MATLAB code that determines the converged value of x using the following sequence instead: aG-h(x-25-Tair) 08 x = 0.01xcale + 0.99x1-1 c. For an initial guess of T, = 320 K, determine the converged temperature T, and order of convergence. Is a target tolerance of 106 too loose or too tight for purposes of determining T,? Xcale=Tur + Consider a heavily insulated roof on a hot day with temperature T. The roof gains heat from direct sunlight but loses heat to the surrounding air and surroundings. The governing equation is. aG=h(Ts - Tair) + GE(T¹ - Tur) In this example, a = = 0.5, G = 1000 W/m², Tair = 313 K, h = 100 W/m²K. Tsur = 100 K. and a = 5.67 x 10-8 W/m²K. a. Define x T, show = aG-h(x-25-Tair) OE x = Tsur + b. Applying the result of Part (a) will result in divergence, so create a MATLAB code that determines the converged value of x using the following sequence instead: aG-h(x-25-Tair) 08 x = 0.01xcale + 0.99x1-1 c. For an initial guess of T, = 320 K, determine the converged temperature T, and order of convergence. Is a target tolerance of 106 too loose or too tight for purposes of determining T,? Xcale=Tur +

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Answer 1 Define x T and the iterative equation sur T G hx025 Tair i1 2 Create a MATLAB code for conv... View the full answer