ResumenEn esta investigación se llevó a cabo la comparación entre diferentes soluciones numéricas para un modelo matemático de combustión teórica y la variación de la conductividad del cuesco de palma en un reactor de lecho fijo descendente mediante combinaciones entre los esquemas compactos (EC) de diferencias finitas (DF) de orden 2, 4 y 6 y los métodos de integración de Runge Kutta (RK) para n=1, 2 y 4. Los resultados obtenidos mostraron que la aproximación obtenida bajo el EC y el método de integración RK, ambos de orden 4, fué la más cercana al punto de referencia analizado (EC de orden h 6 , sistema integrador RK de orden 4, malla de 80x80 y paso de tiempo de 1 segundo) con diferencias del orden de 13.6E-05 % y errores porcentuales más significativos entre 7.22% y 8.1% a una altura aproximada de 0.5m medida desde el fondo de la tolva. Además, se muestra la correlación entre las variables posición-temperatura y temperatura-conductividad para 21 puntos escogidos x-espaciados distribuidos sobre una línea que va desde 0≤y≤H. Se corrobora que la conductividad del material aumenta a medida que se incrementa la temperatura y es inversamente proporcional a la distancia medida desde la base menor de la tolva. Palabras clave: esquemas compactos; diferencias finitas; métodos de integración; biomasa; conductividad térmica Comparison of Numerical Solutions for a Mathematical Model of Theoretical Combustion and Conductivity Variation of Shell Palm in an Fixed Bed Reactor AbstractIn this investigation numerical solutions for a mathematical model of theoretical combustion and conductivity variation of the shell palm in an downdraft fixed bed reactor were compared by means of combinations between order 2, 4 and 6 of finite difference (FD) compact schemes (CE) and Runge Kutta (RK) integration methods (n = 1, 2 and 4). The results obtained showed that the approximation obtained under 4 order CE and the integration method RK(n=4), was the closest with 13.6E-5% to the reference point (order 6 of CE, integrating system RK of order 4, mesh 80x80 and 1 second step time) and between 7.22% and 8.1% significant errors at an approximate height of 0.5m measured from the bottom hopper. In addition, the correlation between the position-temperature and temperature-conductivity variables for 21 x-spaced points distributed over a line from 0≤y≤H is presented. This corroborates the fact that the conductivity of the material increases as the temperature increases and is inversely proportional to the distance measured from the bottom hopper.
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