1.Obliczanie współczynnika lepkości dla:
q = 11350 kg/m3
h = 40.3 cm = 0.403 m
g = 9.81 kg * m/s2
R1 = 1.3 cm = 0.013 m
a) gliceryny:
qc = 1260 kg/m3
Rśr = 1.3 mm = 0.0013 m
tśr = 2.568 s
η = 2/9 * (11350 kg/m3 - 1260 kg/m3)/0.403 m * 9.81 m/s2 * (0.0013 m) *2.568 s * 1/(1+ 2.4 * (0.0013 m/0.013 m)) = 0.19103 kg/(m * s)
b) sylikonu:
qc = 976 kg/m3
Rśr = 1.28 mm = 0.00128 m
tśr = 2.616 s
η = 2/9 * (11350 kg/m3 - 976 kg/m3)/0.403 m * 9.81 m/s2 * (0.00128 m) *2.616 s * 1/(1+ 2.4 * (0.00128 m/0.013 m)) = 0.194501 kg/(m * s)
2.Obliczenie błędu pomiarowego dla :
q = 11350 kg/m3
h = 40.3 cm = 0.403 m
g = 9.81 kg * m/s2
R1 = 1.3 cm = 0.013 m
n = 10
tn = 1.0585
∆R = 0.01 mm = 0.00001 m
∆h = 1 mm = 0.001 m
∆t = 0.2 s
∆R1 = 0.25 mm = 0.00025 m
a) gliceryny:
qc = 1260 kg/m3
Rśr = 1.3 mm = 0.0013 m
tśr = 2.568 s
C = 2/9 * (11350 kg/m3 - 1260 kg/m3) * 9.81 kg * m/s2 = 21996.2 kg2/(m2 * s2)
n
SR = 1.0585 * (1/(10*(10-1))*∑(Ri - 0.013 m)2)½ = 0.013319 * 10-5 m
i=1
n
St = 1.0585 * (1/(10*(10-1))*∑(ti - 2.568 s)2)½ = 0.0303 s
i=1 =
dη/dt = 21996.2 kg2/(m2 * s2)/ 0.403 m * (0.0013 m)2/(1+2.4* 0.0013 m/0.013 m)
dη/dR = 21996.2 kg2/(m2 * s2)/ 0.403 m * 2.568 s * 2 * 0.0013 m * (1+2.4* 0.0013 m/0.013 m) - 2.4 * ((0.0013 m) 2/0.013 m)/ (1+2.4* 0.0013 m/0.013 m)2 =
dη/dR1 = 21996.2 kg2/(m2 * s2)/ 0.403 m * 2.568 s * 2 * 0.0013 m * (1+2.4* 0.0013 m/0.013 m) +2.4 * ((0.0013 m) 3/(0.013 m) 2)/ (1+2.4* 0.0013 m/0.013 m)2 =
dη/dh = - 21996.2 kg2/(m2 * s2)* 2.568 s * (0.0013 m)2/(1+2.4* 0.0013 m/0.013 m) =
b) sylikonu:
qc = 976 kg/m3
Rśr = 1.28 mm = 0.00128 m
tśr = 2.616 s
C = 2/9 * (11350 kg/m3 - 976 kg/m3) * 9.81 kg * m/s2 = 22615.32 kg2/(m2 * s2)
n
SR = 1.0585 * (1/(10*(10-1))*∑(Ri - 0.0128 m)2)½ = 0.007495 * 10-5 m
i=1
n
St = 1.0585 * (1/(10*(10-1))*∑(ti - 2.6.16 s)2)½ = 0.4337 s
i=1
dη/dt = 22615.32 kg2/(m2 * s2)/ 0.403 m * (0.00128 m)2/(1+2.4* 0.00128 m/0.013 m) =
dη/dR = 22615.32 kg2/(m2 * s2)/ 0.403 m * 2.616 s * 2 * 0.00128 m * (1+2.4* 0.00128 m/0.013 m) -2.4 * ((0.00128 m) 2/0.013 m )/ (1+2.4* 0.00128 m/0.013 m)2 =
dη/dR1 = 22615.32 kg2/(m2 * s2)/ 0.403 m * 2.616 s * 2 * 0.00128 m * (1+2.4* 0.00128 m/0.013 m) +2.4 * ((0.00128 m )3/(0.013 m )2)/ (1+2.4* 0.00128 m/0.013 m)2 =
dη/dh = - 22615.32 kg2/(m2 * s2) * 2.616 s * (0.00128 m)2/(1+2.4* 0.00128 m/0.013 m) =