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📄 e591.m

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%------------------------------------------------------------------------
% Example 5.9.1: Propane Cylinder 
%------------------------------------------------------------------------

   clc
   clear
   v0  = 0.1;           % lower bound (must be > 0) 
   v1  = 0.913;         % upper bound, initial guess	
   M   = 44.09;         % kg/kmol for propane 
   h   = 1.35;          % height of cylinder (m) 
   d   = 0.25;          % diameter of cylinder (m)
   m   = 2.9;           % mass of propane (kg) 
   tol = 1.e-4;         % relative error tolerance
   r   = 100;           % maximum iterations

% Compute and display molar specific volume v    

   fprintf ('Example 5.9.1: Propane Cylinder\n');
   fprintf ('\n----------------------------------------------');
   [v,i] = bisect (v0,v1,tol,r,'funf591');
   fprintf ('\nBisection: v = %.5f m^3/kmol, %2g iterations',v,i);
   [v,i] = secant (v0,v1,tol,r,'funf591');
   fprintf ('\nSecant:    v = %.5f m^3/kmol, %2g iterations',v,i); 
   [v,i] = newton (v0,tol,r,'funf591');
   fprintf ('\nNewton:    v = %.5f m^3/kmol, %2g iterations',v,i); 
   fprintf ('\n----------------------------------------------'); 

% Compute cylinder volume and wall thickness 

   V_0 = pi*d^2*h/4;
   V_1 = m*v/M;
   show ('Exterior volume (m^3)',V_0)
   show ('Interior volume (m^3)',V_1)
   A = pi*d*h + 2*(pi*d^2/4);
   show ('Exterior surface area (m^2)',A)
   t = 100*(V_0 - V_1)/A;
   show ('Wall thickness (cm)',t);
%------------------------------------------------------------------------

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