Heat Exchange in a Thermal Furnace

A large number of case studies is reported in scientific literature dealing with physical equilibria, design purposes for unit operations, reactor stability, and so on. We have included some below to highlight their individual peculiarities. These include heat exchange in a thermal furnace, vapor-liquid equilibrium calculation, multiple solutions in a continuously stirred tank reactor (CSTR) reactor, and critical nuclear reactor size. Certain special cases are also discussed in Section 7.22. 

The calculation of gas and wall temperatures within the radiant zone of a thermal furnace is performed using an enthalpy balance that accounts for the radiative effect between the flame and the wall, the convective effect between gas and wall, and conductive effect due to thermal losses across the wall. 

The resulting system is nonlinear for the presence of radiative terms where the temperature is raised to the power of 4, whereas the other terms mentioned above are linear. 

The matrices A and B and the vector b are collected on the files matrA.dat, matrB. dat, vectb. dat. For the sake of completeness, they are 

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