Appendix

Appendix - Appendix A1: Appendix of Equations (1) (2) (3)...

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Appendix A1: Appendix of Equations (1) (2) (3) (4) Length = (# of rows * Diameter of fruit) + (rows * spacing of fruit) (5) (6) (7) (8) (9) (10) (11) 1
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(12) (13) (14) (15) (16) (17) (18) (19) (20) (21) (22) 2
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A2: Appendix of Matlab Programs Matlab Enthalpy Program (1) This program determines how many rows that the crate could have with a certain fruit number for its cross section, so that every orange is cooled at the same time %ME 304 Heat transfer project % David Floyd, Michael Julian, Josh Martin %This sets up the enthalpy table temp = [263 273]; h = [263242.724 273270.11]; x = 46; %Number of starting Fruit %Constants of the air and box roair = 1.29671; %[kg/m^3]-The density of the air Vi=2; %[m/s]-Initial velocity of the air boxheight = 2; %[m]-The height of the box that the fruit will be in boxwidth = 3.5; %[m]-The width of the box that the fruit will be in rs = 1; %[unitless] r^* (number in chapter 5 equation) Ac = boxheight*boxwidth; %[m^2]-cross sectional area of the box mdot = roair*Vi*Ac; %[kg/s]-mass flow rate of the air %properties of fruit D = 0.07; %[m]-Diameter of the fruit muamb = 1.721*10^-5; %[N*s/m^2]-The viscocity of the air at the air temp Red = (roair*Vi*D)/muamb; %Reynolds number kfamb = 23.992*10^-3; %Thermal conductivity of the air at the air temp mus = 1.846*10^-5; %[N*s/m^2]-The viscocity of the air at the surface Pramb = 0.7135; %[Prandtl] number at the temp of the air ks=0.5; %[W/m*K]-Specific heat of the fruit alpha = 1.2645*10^-7; %[m^2/s]-alpha of the fruit %Creates the matrices Rownum and Fruitn so they can be added to Rownum = 0; Fruitn = 0; Tambout = 0; %Constants that start the program n = 1; %[K]-The initial number of rows To = 280; %[K]-Assume an initial internal temp of this To=280 for the program to run Tambi = 271; %[K]-The amb temp starts at this Tfi=301; %[K]-The intial surface temp of the fruit As=(4*pi*(D/2)^2)*x;%[m^2]-Surface area of all the fruit %Calculates the Nusselt number Nd = 2 + (0.4*Red^(1/2)+0.06*Red^(2/3))*Pramb^(0.4)*(muamb/mus)^(1/4); %Calculates h bar h1 = (Nd*kfamb)/D; %Calculates the initial enthalpy of the ambient air Hin = ((h(2)-h(1))/(temp(2)-temp(1)))*(Tambi-temp(1))+h(1); %Calculates the leaving enthalpy of the ambient air Hout = ((h1*As*(Tfi-Tambi))/mdot)+Hin; %Calculates the temperature of the leaving ambient air 3
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Tout = (Hout-h(1))/(((h(2)-h(1))/(temp(2)-temp(1))))+temp(1); %Calulate the C1 and Zeta section %This section creates the Biot table Bi = [0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10]; Bi = [Bi 0.15 0.20 0.25 0.30 0.4]; Bi = [Bi 0.5 0.6 0.7 0.8 0.9 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0]; Bi = [Bi 9.0 10.0 20.0 30.0 40.0 50.0 100.00]'; zeta1 = [0.1730 0.2445 0.2991 0.3450 0.3854 0.4217 0.4551]; zeta1 = [zeta1 0.4860 0.5150 0.5423 0.6609 0.7593 0.8447 0.9208 1.0528]; zeta1 = [zeta1 1.1656 1.2644 1.3525 1.4320 1.5044 1.5708 2.0288]; zeta1 = [zeta1 2.2889 2.4556 2.5704 2.6537 2.7165 1.7654]; zeta1 = [zeta1 2.8044 2.8363 2.9857 3.0372 3.0632 3.0788 3.1102 3.1415]';
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Appendix - Appendix A1: Appendix of Equations (1) (2) (3)...

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