Reference no: EM13865347

Problem 1:

Calculate the time evolution for a population of burning particles. Assume that the surface area burning rate, f, is 0.5 mm2 /min. Assume a diameter interval Di = 0.2 mm centered around the following diameters di with specified fuel feed rate distribution, Fi, in each size interval:

i 1 2 3 4 5
di (mm) 0.1 0.3 0.5 0.7 0.9
Fi (kg/min) 0 0 0 0 1.0

This calculation will require simultaneous solution of 5 differential equations for each mass interval, Mi. Your solution should include plots of mass (kg) vs. time (min) for each particle size interval.

Population = 1000;

psi = 1.5;
P = 1 (* atm *);
Po2 = .12 (* atm *);
Sg0 = 300 (*cm^2/gram*);
Sh = 2;
Nu = 2;
rp0 = 0.02*10^-6 (*m*);
epsilon = 0.85;
gamma = (psi - 1)/(psi + 1);
nuO = 0.5*(1 - psi);
sigma = 5.6704*10^-8 (*W/(m^2*K^4 *);
Tw = 500 (*K*);
Tg = 1600(*K*);
R = 8.314 (*J/mol*K*) ;
Cpg = 1006(*J/kg K*);
Mc = 12.0 (* gram/mol *);
lambda = 0.024 (* W/(m*K) *);
tau = 3;
deltaH = 2137.52 (* cal/gram *);
eta = 0.85;
density0 = 0.54(*g/cm^3*);
q = -3.9*10^-3 (*gram/cm^2/s*)(*steady state burning*);

Problem 2

1. Gasification of CH1.4O0.8 in oxygen at equivalence ratio of 0.30.

a. Calculate the equilibrium concentrations of the products, which include C(S), CO, CO2, H2, H2O, and CH4, as a function of temperature (recreate Fig. 5.10 inThermochemical Processing)

b. Demonstrate how pressure changes the composition.

c. Explain likely differences in product distribution for a real gasifier.

2. Write equations for the following chemical reactions and whether the enthalpy changes are positive or negative:

a. The four major solid-gas reactions.

b. The two major gas-phase reactions.

3. List and describe the kinds of gasifiers according to the method of heating. List and describe the kinds of gasifiers according to the transport processes employed