In this work, we analyse new robust spline approximation methods for mth order boundary value problems described by nonlinear ordinary diierential and integro-diierential equations with m linear boundary conditions. Our main aim is to introduce a cost-eeective alternative to the highly successful orthogonal col-location method, and to prove stability and convergence properties similar to the or...

Fischer-Tropsch synthesis is one of the most important catalytic reactions that convert the synthetic gas to light and heavy hydrocarbons. One of the main issues is selecting the type of reactor. The slurry bubble reactor is suitable choice for FischerTropsch synthesis because of its good qualification to transfer heat and mass, high durability of catalyst, low cost maintenance and repair. The ...

in this paper, modeling and optimization of fischer-tropsch synthesis is considered in a fixed-bed catalytic reactor using an industrial fe-cu-k catalyst. a one dimensional pseudo-homogenous plug flow model without axial dispersion is developed for converting syngas to heavy hydrocarbons. the effects of temperature, pressure, h2 to co ratio in feed stream, and co molar flow on the mass flow rat...

Fisher-Tropsch synthesis (FTS) is a promising method to make alternative hydrocarbons from biomass or other resources. Upgrading the primary FTS products of considerable interest. Cracking FT wax economically attractive produce light olefins. Herein, effects zeolite type, Si/Al ratio ZSM-5, and reaction condition on catalytic cracking were investigated. It was found that pore structure acid pro...

a series of x(co, mn)/tio2 catalysts (x=2–12wt.%) containing 25%co and 75%mn were prepared by the co-impregnation method. all prepared catalysts have been tested in fischer-tropsch synthesis for production of c2-c4 olefins. it was found that the catalyst containing 8wt.%(co,mn)/tio2 is an optimal catalyst for production of c2-c4 olefins. the effect of operation conditions such as the h2/co mola...

The present paper describes how to apply the Chebyshev orthogonal collocation technique to solve steady-state and unsteady-steady two-dimensional problems. All problems are solved using one single computer algebra, Mathematica . The problems include: (1) steady-state heat transfer in a rectangular bar, (2) steady-state flow in a rectangular duct, (2) steady-state heat transfer in a cooling cyli...