Note: Must program in Excel, C++ or Matlab Problem Case A flue passing hot exhaust gases has a square cross section chimney, 300 mm to a side as shown below. The walls are constructed of refractory bricks 150 mm thick with a thermal conductivity of 0.85 W/m -K. and a- 5.5x10*m'/s are at a uniform temperature of 25 C initially. The wall suddenly exposed to the hot exhaust gases, which is at 350 C as the furnace is fired. The heat transfer coefficient 100 W/m2-K for the inner wall and 5 W/m2- K for the exterior wall respectively 085W/m e gases 1. Specifications: (1) Create a two-dimensional transient heat transfer model for the flue chimney. Due to its symmetry, only 1/8 of the flue stack is required as shown in right side nodes with 50 mm distance nodes (2) Using Implicit finite difference method to create grid (3) Develop numerical finite difference equations for al (4) Create the matriices (5) Determine the temperature distribution of the flue. (6) List and Plot the temperature distribution after 1, 2, 5, and 10 hours. (7) Determine the maximum temperature and its location and (8) Determine the maximum temperature gradient in x- and y (9) Determine when the steady-state condition being time. directions plus the locations and the times achieved. Note: Must program in Excel, C++ or Matlab Problem Case A flue passing hot exhaust gases has a square cross section chimney, 300 mm to a side as shown below. The walls are constructed of refractory bricks 150 mm thick with a thermal conductivity of 0.85 W/m -K. and a- 5.5x10*m'/s are at a uniform temperature of 25 C initially. The wall suddenly exposed to the hot exhaust gases, which is at 350 C as the furnace is fired. The heat transfer coefficient 100 W/m2-K for the inner wall and 5 W/m2- K for the exterior wall respectively 085W/m e gases 1. Specifications: (1) Create a two-dimensional transient heat transfer model for the flue chimney. Due to its symmetry, only 1/8 of the flue stack is required as shown in right side nodes with 50 mm distance nodes (2) Using Implicit finite difference method to create grid (3) Develop numerical finite difference equations for al (4) Create the matriices (5) Determine the temperature distribution of the flue. (6) List and Plot the temperature distribution after 1, 2, 5, and 10 hours. (7) Determine the maximum temperature and its location and (8) Determine the maximum temperature gradient in x- and y (9) Determine when the steady-state condition being time. directions plus the locations and the times achieved