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Caracterización y comparación del modelo termodinámico Otto y cima para la predicción de torque, potencia y consumo = de un motor de combustión interna S.I y validación experimental. <= /o:p>

 

 

 =

Characterization and comparison of the Otto thermodynamic model and summit for the predictio= n of torque, power and consumption of an internal combustion engine S.I and experimental validation.

 

Paúl Montufar Paz.[1], Rodrigo Rigoberto Moreno. <= /span>[2] Edwin Rodolfo Pozo. <= /span>[3] , Gonzalo Noboa Larrea[4]

 

Recibido: 13-12-2017 / Revisado: 07-0= 2-2018 Aceptado: 05-03-2018/ Publicado: 01-04-2018=

 

 Abstract= .

This job is the result<= span style=3D'mso-spacerun:yes'>  of  estimate two thermodynamic models by comparison with experimental da= ta; The objective of this work is to analyze the effectiveness of these models = to predict parameters such as; power, torque and fuel consumption of a M.C.I. For whic= h a vehicle was used to perform experimental tests of the parameters mentioned = in an automotive dynamometer; In addition, gas emission tests were carried out= in order to obtain the air / fuel ratios that develop in the engine. The calculations were developed with the mentioned models, to elaborate the respective comparisons. Finally, correlation results were obtained that indicate that mathematical models have a good capacity to predict mechanical performance parameters, in relation to those obtained in experimental tests. Therefore, it is concluded that it is not necessary to apply any correction factor in these models.

Keywords: CIMA, Otto, MCIA, fuel consumption, emissions.

Resumen.

Este trabajo se realizó basado en la necesidad de evaluar resultados que estiman= dos modelos termodinámicos mediante la comparación con datos experimentales; el objetivo de este trabajo es analizar la eficacia que poseen estos modelos p= ara predecir parámetros como; potencia, torque y consumo de combustible de un M.C.I. Para lo cual se utilizó un vehículo para realizar pruebas experiment= ales de los parámetros mencionados en un dinamómetro automotriz; además se ejecutaron pruebas de emisión de gases con el fin de obtener las proporcion= es de aire/combustible que se desarrollan en el motor. Se desarrollaron los cálculos con los modelos mencionados, para elaborar las respectivas comparaciones. Finalmente se obtuvieron resultados de correlatividad que indican que los modelos matemáticos poseen buena capacidad para predecir parámetros de desempeńo mecánico, en relación a los obtenidos en las pruebas experimentales. Por lo tanto, se concluye que no es necesario aplicar ningún factor de corrección en estos modelos.

Palabras Claves: Cima, Otto, Mcia, Consumo, Emisiones.

&= nbsp;

Introducción.

Modelo Termodinámico Otto.<= /o:p>

Como se conoce, los motores de combustión interna a gasolina funcionan en base a= un ciclo termodinámico denominado ciclo Otto, este ciclo se compone de dos pro= cesos adiabáticos y dos procesos isométricos.

 

Fig. 1= Ciclo Otto en coordenadas P/V y T/S

 

=

= Fuente: Autores, Ecuador, 2017.

 

A continuación, se describe las fórmulas utilizadas en este modelo termodinám= ico para los estados y procesos del ciclo Otto.

&= nbsp;

Tabla I ecuaciones de estados y procesos.

 

Estado

Temperatura

Presión

1

2

4

= Fuente: Autores, Ecuador, 2017.

 <= /p>

Modelo Termodinámico CIMA= .

Este modelo termodinámico fue desarrollado por el Centro de Investigación en Mecatrónica Automotriz CIMA,= por el Dr. José Ignacio Huertas Cardozo= [4]; este modelo toma en cuenta la = Segunda Ley de la termodinámica, la= cual nos indica que solo cierta cantidad de sustancia se puede convertir en trab= ajo, restringiendo lo que nos dice la primera ley [5].<= /p>

        =                          (1)

El modelo CIMA parte del estado 2 para determinar las propiedades del estado 3, por medio de un proceso de combustión adiabático a volumen constante, para esto se hace uso de ecuacio= nes de conservación de energía y la segunda ley de la termodinámica. Por medio = de la ecuación de equilibrio químico nos permitirá posteriormente determinar l= a T3 en el estado 3 usando GASEQ el cual es un programa de equilibrio químico [4= ].

 

      <= span style=3D'mso-tab-count:1'> (2)

 

 

 

 

 

Tabla II Ecuaciones de estados y procesos

 

Estado

Temperatura

Presión

1

2

 

4

 

1995 cc

Cilindrada total

=

286,9 N.m/kgˇK

Constante Universal de los Gases

r

2

Numero de ciclos por revoluciones

290,54 K

Temperatura del aire que ingresa al motor.

42000 kJ/kg

Poder calorífico del combustible.

10,5

Relación de compresión

0,8

Rendimiento mecánico

14,7

Relación estequiometria

74 kPa

Presión atmosférica de Quito

2,1e-4 m3<= /p>

Volumen de cámara

 <= /p>

Potencia: A continuación, en la Fig. 6 podemos apreciar la gráfica que describe la Potencia cada 100 rpm, observamos que la potencia es proporcion= al a la velocidad angular del motor, es decir, que a medida que aumenta la veloc= idad angular del motor, también aumenta la potencia, el mayor valor de potencia obtenido, en este rango de revoluciones por minuto, es de 126 Hp a 5000 rpm= .

           

            Fig. 6  Curva de Potencia.

 

=  <= /b>

= Fuente:= Autores, Ecuador, 2017.

Torque: Los resultados de Torque gráficamente nos refleja una curva d= onde se puede apreciar su pico más alto cuyo valor es de 143,1 lbˇft a 3900 rpm,= es decir, que el motor alcanzó su máximo torque a esas revoluciones por minuto, aumentando más la velocidad angular, el torque comienza a descender llegand= o a su valor mínimo de 132,3 lbˇft a las 5000 rpm.

           

Fig. 7  Curva= de Torque .

= Fuente:= Autores, Ecuador, 2017.

Consumo: Para determinar el consumo de combustible se hizo uso de la ma= sa de combustible, el tiempo que le toma completar un ciclo de trabajo y su densidad, obteniendo valores que nos indican la cantidad de combustible que consume el motor en análisis y el tiempo que tarda en consumirlo. En la siguiente grafica podemos observar que a 2000 rpm el motor consume 9,72 lit= ros por hora y que a 5000 rpm se consumen 24,2 litros por hora, esto quiere dec= ir que el consumo de combustible no decrece conforme se acelera el vehículo, l= os valores mencionados de consumo van de la mano con los de potencia ya que ca= da vez el motor lleva más combustible al interior de los cilindros y esto reacciona con mayor rapidez otorgando mayor velocidad angular al motor.

 <= /p>

            Fig. 8  Curva de Consumo.

&= nbsp;

 

= Fuente:= Autores, Ecuador, 2017.

Determinación de Rendimiento volumétrico.

Para determinar el par motor o torque a diferentes velocidades en ambos modelos,= es necesario conocer el rendimiento volumétrico. Para determinar este rendimie= nto se hizo uso de la Ec. 3, los valores de flujo másico real fueron medidos co= n un scanner automotriz accediendo a la información que emite el sensor MAF, se realizó varias mediciones de este parámetro en diferentes vehículos con similares características.

De estas mediciones se obtuvo un valor medio de flujo másico real para cada régimen, este valor medio fue divido para el fl= ujo másico ideal calculado en ambos modelos, obteniendo así el rendimiento volumétrico para régimen de giro. Aplicando una regresión polinómica logram= os conseguir la ecuación que gobierna la curva que se muestra en la Fig. 9 y F= ig. 10, estas ecuaciones nos permiten calcular el rendimiento volumétrico en función de la velocidad angular del motor para cada modelo termodinámico si= n la necesidad de realizar nuevas mediciones en el sensor MAF.=

De este modo podemos predecir el flujo másico r= eal mediante la aplicación de la Ec. 3. El flujo másico ideal se lo calcula a partir de la masa de aire que utiliza el motor en cuestión y la velocidad angular.

 

 

=                              (3)

&= nbsp;

A continuación se puede apreciar las gráficas de las curvas que describe el rendimiento volumétrico del motor en análisis para el modelo Otto y CIMA respectivamente, estos valores de rendimiento nos permitirán predecir el torque, tomando en cuenta la capacidad de llenado de los cilindros del moto= r en cada régimen.

&= nbsp;

Fig. 9  Curva= de rendimiento volumétrico.

=

Fuente: Autores, Ecuador, 2017.

 

Fig. 1= 0  Curva de rendimiento volumétrico.<= /o:p>

 

= Fu= ente: Autores, Ecuador, 2017.

Aplicación del Modelo CIMA.=

Potencia: Las variables en el cálculo de estos datos son las revoluciones por minuto (rpm) el cual nos indicara la velocidad angular a la que gira el motor; factor lambda, para la estimación de este factor lambda se lo hizo mediante una prueba dinámica con el dinamómetro automotriz y el analizador = de gases, para esta prueba el vehículo fue sometido a baja, media y alta carga obteniendo así factores de lambda de 0,9517; 0,9563 y 0,956 respectivamente= para cada nivel de carga.

&= nbsp;

Fig. 11  Curva = de Potencia

=

= Fuente:= Autores, Ecuador, 2017.

Torque: Esta magnitud es netamente dependiente de la fuerza con que la combustión desplaza al pistón hacia el PMI en el motor, una vez que se calc= uló la masa tanto de aire como de combustible gracias a los valores de lambda, sabemos con qué relación aire/combustible está trabajando nuestro motor, si mantenemos estos valores másicos en todo momento de la misma forma obtendre= mos un par motor constante en todo momento, para ello debemos hacer uso del rendimiento volumétrico el cual nos indica la capacidad de llenado de los cilindros.

           

            Fig. 12  Curva de Torque (modelo= CIMA).

= Fuente:= Autores, Ecuador, 2017.

 

En la Fig. 12 podemos observar el comportamiento del motor a diferentes regímenes, sucede que el valor máximo de par motor o torque es de 137,3 lbˇft a 3600 rpm, esto indica que a esta velocidad es do= nde se consigue la máxima fuerza de empuje en el pistón, como consecuencia este punto será la máxima aceleración del vehículo y el máximo trabajo que reali= za el motor por vuelta del cigüeńal.

Entonces el torque a partir de las 3700 rpm emp= ieza a decrecer, esto nos dice, como este motor fue diseńado para trabajar a un régimen de carga medio y que los valores de rendimiento volumétrico más alt= os se dan desde los 3000 rpm hasta las 3600 rpm.

Consumo: Para calcular el consumo de combustible se utilizó la masa de combustible, el tiempo que toma completar un ciclo de trabajo y su densidad, obteniendo resultados con valores que nos muestran la cantidad de combustib= le que consume el motor en análisis en una hora. Al igual que en el modelo Ott= o, el consumo de combustible no decrece conforme acelera el vehículo. En la Fi= g.13. se puede observar los resultados CIMA de consumo.<= /p>

 <= /p>

Fig. 13  Curva de Consumo (modelo CIMA).

= Fuente:= Autores, Ecuador, 2017.

Análisis de los Modelos Otto y CIMA.

A continuación se puede observar en las Fig. 14 y 15 dos tablas con valores de las propiedades de los estados del ciclo Otto.

&= nbsp;

Estos valores corresponden a una velocidad angu= lar del motor de 2000 rpm, un valor lambda de 0,9517 y

                                                 =                                                                       ISSN: 2602-8085

                        Vol. 2, N°2, p. 590-615, Abril - Junio, 2018=

EDUCACIÓN DEL FUTURO                                =                                                                    =                         Página 25<= /span> de 25<= /span>

 

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