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)
nulo.
En la naturaleza, los FB aquí estudiados, se pueden en-
contrar en flujos rotantes atmosféricos como los tornados o
en remolinos marinos. Mientras que son comunes en turbo
maquinaria con flujos roto-traslatorios, como por ejemplo
en las turbinas instaladas en las represas.
En la sección II, presentamos la propiedad dinámica de
los FB que muestra que las ORP con iguales autovalores,
no intercambian energía y es la clave de dicha clasificación.
En la sección III desarrollamos gráfica, numérica y ana-
líticamente la clasificación de FB en cuatro configuraciones
diferentes.
Y en la sección IV sacamos algunas conclusiones.
II. PROPIEDAD DINÁMICA DE LOS FLUJOS DE
BELTRAMI
La propiedad dinámica [1], consiste en que los FB ge-
nerados por rotación (Ω
Ω
Ω=Ωz), cumplen una ecuación de
onda rotante progresiva (ORP), en el sistema rotante, que
es una solución exacta de las ecuaciones de Euler, con las
siguientes características
∇×vB=±γ±vB(1)
∂vB
∂t=±Ω
γ±
∂vB
∂z(2)
σ±=∓2Ω
γ(k)±kz(3)
en la que γ(k)±depende de la configuración i.e de su
geometría, de su simetría y de sus condiciones de contorno.
De forma tal que, la combinación de dos FB v=vB1+vB2
con igual γ±, es también un FB con el mismo autovalor. En
efecto
ω
ω
ω=∇×v=∇×(vB1+vB2) = ±γ±(vB1+vB2) = ±γ±v
(4)
Por lo tanto, en la ecuación de momentos de Euler el tér-
mino no lineal v×ω
ω
ωy esto significa que no hay transferen-
cia de energía entre ambos FB.
Esta característica permite clasificar los FB a partir de la
igualdad o diferencia de los autovalores γ, autovalor, que se
convierte así, en un autovalor clasificador. Por eso, en las
cuatro configuraciones que siguen, establecemos, a partir de
trabajos previos [1-5], qué son los autovalores γy que forma
adquiere la relación de dispersión resultante al especificarlo
en la Ec. (3) y analizamos, por un lado, la clasificación co-
rrespondiente y, por otro, las condiciones de existencia de
interacciones triádicas resonantes entre modos con diferen-
tes γ.
III. CLASIFICACIÓN DE LOS FB MEDIANTE SU
AUTOVALOR γ
Ondas rotantes progresivas en un dominio de volumen
infinito y sin contornos
A) Ondas Planas
En un trabajo previo [5], mostramos que, en una geome-
tría rectangular, es posible obtener una ORP plana de tipo
Beltrami con un vector de onda kque forma un ángulo θ
con ele eje de rotación z. La Ec. (3) y el autovalor para este
caso, satisfacen las siguientes ecuaciones adimensionaliza-
das:
σ±=∓2
γ±kz,γ±=k(5)
σ±=∓2Cosθ,0≤θ≤π
2(6)
De esta forma el autovalor clasificador es k, y la frecuen-
cia depende sólo del ángulo θ. Esta ORP es transversal, cir-
cularmente polarizada, co-rotante (σ−>0) o contra-rotante
(σ+<0), y de espectro continuo, dispersiva y de amplitud
finita. En la literatura se trata este tipo de ondas o como una
aproximación infinitesimal, y no como una solución exacta
de las ecuaciones de movimiento, despreciando el término
no lineal [4], o en forma exacta [6], pero, en ambos casos,
sin dar cuenta de que el flujo es de tipo Beltrami.
Por lo tanto, los modos pueden clasificarse en dos clases:
aquellos con σ+y el mismo valor de kpara el autovalor γ+
y aquellos con σ−y el mismo valor de kpara el autovalor
γ−todos en el rango 0 ≤θ≤π
2(Fig. 1).
La interacción triádica resonante ([7], [8], [9]) entre mo-
dos se produce cuando k1=k2+k3y±σ1=±σ2±σ3.
Para modos con distintos γi,i=1,2,3estas condiciones se cum-
plen cuando los vectores de onda de la tríada forman un
triángulo escaleno y ∓cosθ1=∓cosθ2∓cosθ3debido a la
Ec. (6).
FIG. 1: El arco de circunferencia rojo es la representación polar
de los modos de igual γ
Dado que el ángulo θ1es intermedio entre θ2yθ3, enton-
ces, si los tres modos tienen el mismo signo de frecuencia,
la última igualdad no se cumpliría por ser el coseno una
función decreciente. Por lo tanto, sólo son posibles interac-
ciones resonantes entre modos, con uno de ellos con signo
de frecuencia distinto al de los otros dos.
B) Ondas rotantes progresivas axi-simétricas y no axi-
simétricas en coordenadas cilíndricas
En este caso consideramos una ORP propagándose a lo
largo del eje de rotación con un FB en coordenadas cilín-
dricas [1] (Ecs. (7) - (12)). Al ser el vector de onda axial, la
González / Anales AFA - XVI Meeting on Recent Advances of Physics of Fluids and its Applications 1-5 2