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Analisis Dimensional

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by

Itzel Pastel

on 9 November 2012

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Transcript of Analisis Dimensional

INSTITUTO TECNOLÓGICO DE MORELIA“JOSÉ MA. MORELOS Y PAVÓN” Presentan:
Luis Alberto Carachure de Jesús
Edgar Rafael Jaramillo Pulido
Itzel Pérez Ayala Morelia Michoacán, Noviembre 2012 Análisis Dimensional Sustitución de variables por sus dimensiones
Variable dependiente
τ

Variables independiente
a= D
b= V₀
c= ρ Empuje producido por la hélice de un avión (T) Análisis Dimensional Teorema pi de Buckingham REDUCCIÓN T = f(V₀, D, ρ, µ, c, ω) Variables - Dimensiones Fundamentales = Gpos. Adimensionales 7 - 3 = 4 D ω c µ ρ v₀ Para π1 M = 1 + a = 0 a = -2
L = 1 + a - 3b + c = 0 b = -1
T = -2 – c = 0 c = -2

Para π2 M = 1 + b = 0 a = -1
L = -1 + a -3b +c = 0 b = -1
T = -1- c = 0 c = -1

Para π3 M = b =0 a = 0
L = 1 +a -3b +c = 0 b = 0
T = -1 –c = 0 c = -1

Para π4 M = b = 0 a = 1
L = a - b + c= 0 b = 0
T = -1 –c = 0 c = -1 Selección de parámetros Generación de los términos pi Verificando sus unidades Relación final de la ecuación
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