in this paper, we examine the effects of thermal radiation on co2 emission and o2 depletion in an exothermic reactive slab of combustible materials with uniform surface temperature. the governing equations for the nonlinear heat and mass transfer problem are derived and solved numerically using runge-kutta-fehlberg method with shooting technique. numerical expressions for temperature field, co2...

many simulation algorithms (chemical reaction systems, differential systems arising from the modeling of transient behavior in the process industries and etc.) contain the numerical solution of systems of differential equations. for the efficient solution of the above mentioned problems, linear multistep methods or runge-kutta technique are used. for the simulation of chemical procedures the ra...

Two-point incremental forming method is considered a modern technique for manufacturing shell parts. The presence of bottom punch during the process makes this technique far more complex than its conventional counterpart i.e. single-point incremental forming method. Thus, the numerical simulation of this method is an essential task, which leads to the reduction of trial/error costs, predicts th...

Many simulation algorithms (chemical reaction systems, differential systems arising from the modeling of transient behavior in the process industries and etc.) contain the numerical solution of systems of differential equations. For the efficient solution of the above mentioned problems, linear multistep methods or Runge-Kutta technique are used. For the simulation of chemical procedures the ra...