UDC 547

Abstract Known laboratory-scale and industrial methods are reviewed therein concerning the production of one of the most important vulcanization accelerators such as kaptax (2-mercaptobenzothiazol) those are based on modifying the substituents in the thiazol ring and synthesizing from acyclic precursors. The latter include also the main industrial method of obtaining kaptax based on the reaction between aniline, sulphur and carbon disulphide dangerous from the environmental point of view. Potentialities are demonstrated concerning the development of methods for producing kaptax without using carbon disulphide, which would significantly improve the environment safety of the process

A Comparative Approach for Time-Delay Fractional Optimal Control Problems: Discrete Versus Continuous Chebyshev Polynomials

This paper aims to demonstrate the superiority of the discrete Chebyshev polynomials over the classical Chebyshev polynomials for solving time-delay fractional optimal control problems (TDFOCPs). The discrete Chebyshev polynomials have been introduced and their properties are investigated thoroughly. Then, the fractional derivative of the state function in the dynamic constraint of TDFOCPs is approximated by these polynomials with unknown coefficients. The operational matrix of fractional integration together with the dynamical constraints is used to approximate the control function directly as a function of the state function. Finally, these approximations were put in the performance index and necessary conditions for optimality transform the under consideration TDFOCPs into an algabric system. A comparison has been made between the required CPU time and accuracy of the discrete and continuous Chebyshev polynomials methods. The obtained numerical results reveal that utilizing discrete Chebyshev polynomials is more efficient and less time-consuming in comparison to the continuous Chebyshev polynomials

Performance of monolithic catalysts with complex active component in partial oxidation of methane into syngas: experimental studies and modeling

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