CALCULOS
EMPAQUE CUBICO
V esf=Volumendeesfera
V total=Volumen total
V poro=Volumen de poro
D=Diametro
R=Radio
Θ=angulo de inclinación
Φ=porosidad
D =1.52cm
R=0.76cm
Ѳ=90º
VEsf=npepas( 43∗π R3)
Φ=V poro/V total
Φ=2890,99526068,4042
Φ=0,47464VEsf=12∗( 43∗π∗0.763)=3177,4090 cm3
V total=(24∗R)3
V total= (24∗0.76 )3=6068,4042
V poro=V total∗V es f
V poro=6068.4042∗3177,4409=28,9952cm3
EMPAQUE EXAGONAL U ORTOGONAL
Ѳ=60º
V esf=npepas( 43 π R3)=3177,4090 cm3V total=A∗B∗C
A=24*R*Cos30º =24*0.76*Cos30º
A=15,7963
V total=A∗(24∗R )∗(24∗R)
¿15,7963∗(24∗0,76 )∗(24∗0,76)
V total=5255,3910cm3
V poro=V total−V es f
V poro=5255,3910−3177,4090
V poro=2077,982cm3
∅=V poro
V esf
∅= 2077,9825255,3910
=0,3954
EMPAQUE ROMBOEDRICO
VEsf=¿npepas (
43π R3)¿
V Esf=¿3177,4409 cm3¿
V total=A∗B∗C
A=24∗R∗cos45
A=12,8976 cm
V total=A∗(24∗R )∗(24∗R)
V total=12,8976∗(24∗0,76 )∗(24∗0,76)
V total=4291,0005cm3
V poro=V total−V es f
V poro=4291,0005−3177,4090
V poro=1113,5915 cm3
∅=V poro
V esf
∅= 1113,59154291,0005
∅=0,2595