Please Upload the MATLAB script.

Thank you in advance.

1. (5 points) In heat treatment processes it is important to know the distribution of temperature in an object. In a thermodynamics or heat transfer course the temperature distribution of a flat metal plate is given by: T(x,y) = (T2 - T)w(x,y) + T1 where: . Ti is the temperature on three sides of the plate (held constant @ T1) T2 is the temperature on the fourth side T(x,y) is the temperature in the center of the plate w(x,y) is described by . . 250 2 w(x,y) = nux sinh(nay/L) sin (474) 'n oddn sinh(W /L) TT T2 W T(x,y) TE T1 Use the following data: T1 = 70C, T2 = 200C, and W = L = 2 meters 0 0 a. The terms in the series become smaller in magnitude as n increases. Write a MATLAB script to verify this fact for n=1 19 for the center of the plate (x = y = 1). b. Using x = y = 1 add additional code to the script to determine the number of terms required to produce a temperature calculation for the temperature in the middle of the plate, T(x,y), that is accurate to within 1%, i.e., what value of n would the addition of the next term produce a change of I less than 1 %?) HINT: Consider using the while command. Answer: Part a) 3.9854e-01, 5.9884e-03, 1.5528e-04, 4.7931e-06, 1.6110e-07, 5.69608-09, 2.0828e-10, 7.8004e-12, 2.9743e-13, 1.1500e-14 (getting smaller) Part b) T_middle = 102.5 C and n = 9 1. (5 points) In heat treatment processes it is important to know the distribution of temperature in an object. In a thermodynamics or heat transfer course the temperature distribution of a flat metal plate is given by: T(x,y) = (T2 - T)w(x,y) + T1 where: . Ti is the temperature on three sides of the plate (held constant @ T1) T2 is the temperature on the fourth side T(x,y) is the temperature in the center of the plate w(x,y) is described by . . 250 2 w(x,y) = nux sinh(nay/L) sin (474) 'n oddn sinh(W /L) TT T2 W T(x,y) TE T1 Use the following data: T1 = 70C, T2 = 200C, and W = L = 2 meters 0 0 a. The terms in the series become smaller in magnitude as n increases. Write a MATLAB script to verify this fact for n=1 19 for the center of the plate (x = y = 1). b. Using x = y = 1 add additional code to the script to determine the number of terms required to produce a temperature calculation for the temperature in the middle of the plate, T(x,y), that is accurate to within 1%, i.e., what value of n would the addition of the next term produce a change of I less than 1 %?) HINT: Consider using the while command. Answer: Part a) 3.9854e-01, 5.9884e-03, 1.5528e-04, 4.7931e-06, 1.6110e-07, 5.69608-09, 2.0828e-10, 7.8004e-12, 2.9743e-13, 1.1500e-14 (getting smaller) Part b) T_middle = 102.5 C and n = 9