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  1. %ASS 5
  2. clear variables
  3. clc
  4.  
  5. antal_dagar=10;
  6.  
  7.  
  8.  
  9. Side_length=9; %meter
  10. Surface_velo=3; %m/s
  11. Surface_area=9*9; %m^2
  12. height=24;
  13. length_wood=0.04; %length
  14. length_glass_fibre=0.22; %length
  15. length_chip=0.02; %length
  16. totallength=length_wood+length_glass_fibre+length_chip;
  17. dx=0.01;
  18. points=(totallength/dx);
  19. points_int=int16(points);
  20. T_in=19;
  21. T_out=19; % celcius
  22.  
  23. h_inner_wall=2.5; %W/m^2*k
  24.  
  25. convection_velo=3; %meter/sec
  26. time_start_day=6;
  27. point_1=length_wood/dx+1;
  28. point_2=(length_wood+length_glass_fibre)/dx+1;
  29. dt=10; %Second time step
  30. test_number= antal_dagar*86400/dt;
  31.  
  32. alfa_wood= 1.8814*10^-7; %m2/s
  33. Fo_wood=(alfa_wood*dt)/(dx^2);
  34. K_wood=0.17; %Thermal conductivity
  35. density_wood=545; %Table A.3
  36. epsilon=0.98; %given in the heat transfer book for hard wood black
  37. Cp_wood=1255; %Specific heat J/(kg*K)
  38.  
  39. alfa_glass_fibre=1.497*10^-6;
  40. Fo_glass_fibre=(alfa_glass_fibre*dt)/(dx^2);
  41. K_glass_fibre=0.04; %THermal conductivity Table A.3
  42. Cp_glass_fibre=835; % J/(kg*K)
  43. density_glass_fibre=2.58; %density, internet source
  44.  
  45. alfa_chip=1.2579*10^-7; %internet source
  46. Fo_chip=(alfa_chip*dt)/(dx^2); %internet source
  47. Cp_chip=1590; %J/(kg*K)
  48. K_chip=0.15;
  49. density_chip=525;
  50.  
  51. sigma=5.67*10^-8;
  52. %density=
  53.  
  54. Pr=0.709; %heat transfer tables
  55. kine_vi=15.19*10^-6;
  56. Re=(Side_length*Surface_velo)/kine_vi;
  57. %h= nusselts calculation
  58. %h_inner_wall=2.5
  59. k_air=0.0257;
  60. Nu=0.036*(Re)^(4/5)*Pr^(1/3);
  61. h_out=Nu*k_air/Side_length;
  62. T=ones(test_number,points_int+1)*19;
  63.  
  64. Cp_air=1005; %Assumption 20 degrees room J/kg*K
  65. density_air=1.205; %Assumption 20 degrees room g/dm^3
  66. epsilon_chip= 0.9; %http://www.infrared-thermography.com/material-1.htm
  67.  
  68. area_wall= 9*2.4;
  69. room_volume= area_wall*9;
  70.  
  71.  
  72.  
  73. for n=1:1:test_number
  74.  
  75.  
  76. rad_curve = 480*sin((pi*((time_start_day+n/(3600/dt)))/12)-(pi/2));
  77. rad_curve(rad_curve<0)=0;
  78.  
  79. %negative needs to be zero
  80. temp_curve= 5*sin((pi*(time_start_day+n/(3600/dt))/12)-(pi/2))+19;
  81.  
  82.  
  83. %T(n+1,1)=(((rad_curve+h_out*(temp_curve-T(n,1))+epsilon*sigma*((temp_curve+273.15)^4-(T(n,1)+273.15)^4)+(K_wood/dx)*(T(n,2)-T(n,1)))*dt)/(density_wood*(dx/2)*Cp_wood))+T(n,1);
  84. T(n+1,1) = ((rad_curve + h_out *(temp_curve - T(n,1)) + epsilon * sigma * ((temp_curve+273.15)^4-(T(n,1)+273.15)^4) + K_wood/dx * (T(n,2) - T(n,1))) * dt)/(density_wood * dx/2 * Cp_wood) + T(n,1);
  85. for i=2:1:point_1-1
  86.  
  87. T(n+1,i) = T(n,i) + Fo_wood * (T(n,i+1) - 2*T(n,i) + T(n,i-1));
  88.  
  89. end
  90.  
  91. T(n+1,point_1)=T(n,point_1)+dt/Cp_glass_fibre*((K_glass_fibre/dx)*((T(n,(point_1+1))-T(n,point_1))/(density_glass_fibre*dx/2)));
  92.  
  93. for i=point_1:1:point_2-1
  94.  
  95. T(n+1,i) = T(n,i) + Fo_glass_fibre * (T(n,i+1) - 2*T(n,i) + T(n,i-1));
  96.  
  97. end
  98.  
  99. T(n+1,point_2)=T(n,point_2)+dt/Cp_chip*((K_chip/dx)*((T(n,(point_2+1))-T(n,point_2))/(density_chip*dx/2)));
  100.  
  101. for i=point_2:1:points
  102.  
  103.  
  104. T(n+1,i) = T(n,i) + Fo_chip * (T(n,i+1) - 2*T(n,i) + T(n,i-1));
  105.  
  106. end
  107.  
  108. %T(n+1,28)=(2*dt*(h_inner_wall*(T(n,28+1)-T(n,28)))+(K_chip/dx)*(T(n,28-1)-T(n,28)))/(density_chip*dx*Cp_chip)+T(n,points_int);
  109.  
  110. % T(n+1,28)=(dt*h_inner_wall*area_wall*(T(n,28)-T(n,29))+(k_innerwall/dx)*area_wall*(T(n,27)-T(n,28))*dt)/(room_volume*density_air)+T(n,28);
  111.  
  112. T(n+1,28) = ((h_inner_wall *(T(n,29) - T(n,28)) + epsilon_chip * sigma * ((T(n,29)+273.15)^4-(T(n,28)+273.15)^4) + K_chip/dx * (T(n,27) - T(n,28))) * dt)/(density_chip * dx/2 * Cp_chip) + T(n,28);
  113.  
  114.  
  115. T(n+1,29)=(h_inner_wall*area_wall*(T(n,28)-T(n,29))*dt)/(room_volume*density_air*Cp_air)+T(n,29);
  116.  
  117.  
  118. end
  119.  
  120. plot (T(:,29));
  121. hold on
  122. plot (T(:,1));
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