Presión (Psi)

Datos del sistema

30 40 50
Espesor (m) 0.13 0.13 0.13
resquina (m) 0.025 0.025 0.025
L (m) 0.155 0.155 0.155
A (m2) 0.0441230091830128 0.0441230091830128 0.04412300918
m (kg/m-s) 0.000933 0.000933 0.000933
ragua (kg/m3) 997.62 997.62 997.62
rCaCO3 (kg/m3) 2710 2710 2710
Volumen (m3) 0.00287 0.00287 0.00287

1 s 1 s 𝜔=(𝜌_𝑓 𝑠)/(1−𝑚𝑠)
 
 suspension  CaCO3  H 2O

CaCO3 en la
Temperatura
suspención

Wvaso (g) 33.1 33.7 30.1

Wvaso + WMH (g) 68.3 68.8 54.1
Wvaso + WMS (g) 33.9 34.4 30.6
WMH (g) 35.2 35.1 24
WMS (g) 0.8 0.7 0.5
HUMEDAD 0.977 0.980 0.979
S 0.0227 0.0199 0.0208

Sólidos en la Presión (psi)

suspención
30 40 45
Wvaso (g) 33.2 30 32.9
Wvaso + WTH (g) 94 73.8 69.7
Wvaso + WTS (g) 70.5 60.4 58.8
WTH (g) 60.8 43.8 36.8
WTS (g) 37.3 30.4 25.9
CaCO3 en torta 0.613486842105263 0.694063926940639 0.70380434783
Humedad de torta 0.386513157894737 0.305936073059361 0.29619565217
m (kgTH/kgTS) 1.63002680965147 1.44078947368421 1.42084942085
w (c) 23.5454479878511 20.4841405662015 21.417737069
 https://vaxasoftware.com/doc_edu/qui/viscoh2o.pdf

PROMEDIO
0.9796
0.0204 *Se elimina la primera toma

𝑤=(𝜌_𝑓
𝑠)/(1−𝑚𝑠)
𝑘𝑔/𝑚3
 DP (psi) 30
t (s) V (m3) Dt DV (m3) Dt/DV
10.59 0.0039 - - -
24.76 0.001 14.17 -0.003 -4886.2069
40.78 0.002 16.02 0.001 16020
59.57 0.003 18.79 0.001 18790
81.77 0.004 22.2 0.001 22200
105.97 0.005 24.2 0.001 24200
132.85 0.006 26.88 0.001 26880
162.78 0.007 29.93 0.001 29930
194.91 0.008 32.13 0.001 32130
229.97 0.009 35.06 0.001 35060
265.01 0.010 35.04 0.001 35040
297.99 0.011 32.98 0.001 32980
339.12 0.012 41.13 0.001 41130
383.47 0.013 44.35 0.001 44350
429.99 0.014 46.52 0.001 46520
487 0.015 57.01 0.001 57010
997.42 0.0089 510.42 -0.006 57350.5618
TOTAL 4243.95 16.28 L
30
Vm (m3) V vs ∆t/∆V
- 60000
0.00245
50000
0.0015 f(x) = 2647296.7032967 x + 10515.1208791209
40000 R² = 0.940874539041046
0.0025
0.0035 30000
0.0045
20000
0.0055
0.0065 10000

0.0075 0
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016
0.0085
0.0095 De la ecuación 𝑑𝑡/𝑑𝑉=𝑘_1 𝑉+𝑘_2
0.0105 k1 2647296.703 s/m 6

0.0115 k2 10515.121
0.0125 Ve 251.761 𝑘_1=𝜇𝛼𝑤/(∆𝑃𝑔_𝑐 𝐴^2 )
0.0135
0.0145 Datos
0.01195 206842.800 Pa
𝑘_2=(𝜇𝑅_𝑚)/(∆𝑃𝑔_𝑐 𝐴)
DP
m 0.000933 kg/m-s
A 0.044123 m2
w 23.545 𝛼=(𝑘_1
kg/m3 ∆𝑃𝑔_𝑐 𝐴^2)/𝜇𝑤

Cálculos necesarios
e 0.631 𝑉_𝑒=𝑘_1/𝑘_2
𝑉_𝑒=𝛼𝑤/(𝐴𝑅_𝑚 )
Vcal 0.286
Vexp 0.000
𝑅_𝑚=𝛼𝑤/(𝐴𝑉_𝑒 )
Resultados
a 48527137315.226 m/kg (𝑚−1))/(𝜌_𝑓+𝜌_𝑠 (𝑚−1)
𝜖=(𝜌_𝑠
Rm 102858019430.129
Rt 7405909765028.210
S0 4637167.384 𝑅_𝑡𝑜𝑟𝑡𝑎=𝛼𝑤𝑉/𝐴

𝑉=((𝐿𝐴(1−𝜀) 𝜌_𝑠)/𝑤)−𝜀𝐿𝐴

𝑆_0=√((𝛼𝜌_𝑠 𝜖^3)/4.17(1−𝜖) )
 DP (psi) 40
t (s) V (m3) Dt DV (m )
3
Dt/DV Vm (m3)
8.02 0.0023 - - - -
22.06 0.001 14.04 -0.0013 -10800 0.00165
35.8 0.002 13.74 0.001 13740 0.0015
52.02 0.003 16.22 0.001 16220 0.0025
69.83 0.004 17.81 0.001 17810 0.0035
89.58 0.005 19.75 0.001 19750 0.0045
112.53 0.006 22.95 0.001 22950 0.0055
136.16 0.007 23.63 0.001 23630 0.0065
160.98 0.008 24.82 0.001 24820 0.0075
14 0.016
190.34 0.009 29.36 0.001 29360 0.0085
/𝑑𝑉=𝑘_1 𝑉+𝑘_2 219.67 0.010 29.33 0.001 29330 0.0095
250.25 0.011 30.58 0.001 30580 0.0105
284.06 0.012 33.81 0.001 33810 0.0115
𝜇𝛼𝑤/(∆𝑃𝑔_𝑐 𝐴^2 ) 318.6 0.013 34.54 0.001 34540 0.0125
355.92 0.014 37.32 0.001 37320 0.0135
388.62 0.015 32.7 0.001 32700 0.0145
𝜇𝑅_𝑚)/(∆𝑃𝑔_𝑐 𝐴) 432.93 0.016 44.31 0.001 44310 0.0155
724.18 0.0091 291.25 -0.0069 -42210.1449 0.01255
3851.55 17.14 L
_1 ∆𝑃𝑔_𝑐 𝐴^2)/𝜇𝑤

𝑉_𝑒=𝛼𝑤/(𝐴𝑅_𝑚 )

_𝑚=𝛼𝑤/(𝐴𝑉_𝑒 )

−1))/(𝜌_𝑓+𝜌_𝑠 (𝑚−1) )

𝑅_𝑡𝑜𝑟𝑡𝑎=𝛼𝑤𝑉/𝐴

𝜌_𝑠 𝜖^3)/4.17(1−𝜖) )
 V vs ∆t/∆V
50000
t (s)
45000 8.81
40000 23.91
f(x) = 1859178.57142857 x + 10658.7261904762
35000 R² = 0.944281847129278 38.1
30000 54.09
25000 71.8
20000
91.12
15000
112.35
10000
135.42
5000
0
161
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 187.12
De la ecuación 𝑑𝑡/𝑑𝑉=𝑘_1 𝑉+𝑘_2 215.31
k1 1859178.5714286 245.11
k2 10658.726190476 276.72
Ve 174.42783858073 𝑘_1=𝜇𝛼𝑤/(∆𝑃𝑔_𝑐 𝐴^2 ) 310.15
345.34
Datos 381.03
DP 275790.4 𝑘_2=(𝜇𝑅_𝑚)/(∆𝑃𝑔_𝑐 𝐴) 419.63
m 0.000933 707.93
A 0.044123009183 3784.94
w 20.484140566202 𝛼=(𝑘_1 ∆𝑃𝑔_𝑐 𝐴^2)/𝜇𝑤
Cálculos necesarios
e 0.5449144955119 𝑉_𝑒=𝑘_1/𝑘_2
𝑉_𝑒=𝛼𝑤/(𝐴𝑅_𝑚 )
Vcal 0.4080306506895
Vexp 0

𝑅_𝑚=𝛼𝑤/(𝐴𝑉_𝑒 )
Resultados
a 52231332553.695
𝜖=(𝜌_𝑠 (𝑚−1))/(𝜌_𝑓+𝜌_𝑠 (𝑚−1) )
Rm 139017005853.27
Rt 9894105060914
S0 3473987.1769636
𝑅_𝑡𝑜𝑟𝑡𝑎=𝛼𝑤𝑉/𝐴

𝑉=((𝐿𝐴(1−𝜀) 𝜌_𝑠)/𝑤)−𝜀𝐿𝐴

𝑆_0=√((𝛼𝜌_𝑠 𝜖^3)/4.17(1−𝜖) )
 DP (psi) 45 V vs ∆t/∆V
V (m3) Dt DV (m )
3
Dt/DV Vm (m3) 45000
0.003 - - - - 40000
0.001 15.1 -0.002 -7550 0.002 35000 f(x) = 1714714.28571429 x + 10948.90
R² = 0.997423355467088
0.002 14.19 0.001 14190 0.0015 30000
0.003 15.99 0.001 15990 0.0025 25000
0.004 17.71 0.001 17710 0.0035 20000
0.005 19.32 0.001 19320 0.0045 15000
0.006 21.23 0.001 21230 0.0055 10000
0.007 23.07 0.001 23070 0.0065 5000
0.008 25.58 0.001 25580 0.0075 0
0 0.002 0.004 0.006 0.008 0.01
0.009 26.12 0.001 26120 0.0085
0.010 28.19 0.001 28190 0.0095 De la ecuación
0.011 29.8 0.001 29800 0.0105 k1
0.012 31.61 0.001 31610 0.0115 k2
0.013 33.43 0.001 33430 0.0125 Ve
0.014 35.19 0.001 35190 0.0135
0.015 35.69 0.001 35690 0.0145 Datos
0.016 38.6 0.001 38600 0.0155 DP
0.00895 288.3 -0.00705 -40893.617 0.012475 m
17.195 L A
w

Cálculos necesarios
e
Vcal
Vexp

Resultados
a
Rm
Rt
S0
 V vs ∆t/∆V

f(x) = 1714714.28571429 x + 10948.9047619048

R² = 0.997423355467088

.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018

De la ecuación 𝑑𝑡/𝑑𝑉=𝑘_1 𝑉+𝑘_2

1714714.285714
10948.9047619
156.6105764003 𝑘_1=𝜇𝛼𝑤/(∆𝑃𝑔_𝑐 𝐴^2 )

Datos
310264.2 𝑘_2=(𝜇𝑅_𝑚)/(∆𝑃𝑔_𝑐 𝐴)
0.000933
0.044123009183
21.41773706897 𝛼=(𝑘_1 ∆𝑃𝑔_𝑐 𝐴^2)/𝜇𝑤
Cálculos necesarios
0.533412951914 𝑉_𝑒=𝑘_1/𝑘_2
𝑉_𝑒=𝛼𝑤/(𝐴𝑅_𝑚 )
0.400113735902
0

𝑅_𝑚=𝛼𝑤/(𝐴𝑉_𝑒 )
Resultados
51832058128.54
𝜖=(𝜌_𝑠 (𝑚−1))/(𝜌_𝑓+𝜌_𝑠 (𝑚−1) )
160651884798
1.0066775E+13
3310128.400044
𝑅_𝑡𝑜𝑟𝑡𝑎=𝛼𝑤𝑉/𝐴

𝑉=((𝐿𝐴(1−𝜀) 𝜌_𝑠)/𝑤)−𝜀𝐿𝐴

𝑆_0=√((𝛼𝜌_𝑠 𝜖^3)/4.17(1−𝜖) )
 Ecuación
𝛼=𝛼^∗× 〖∆𝑃〗 ^𝑠
ln⁡𝛼=ln⁡〖𝛼 ^∗ 〗 +𝑛×ln⁡∆𝑃
a ln(a)
Datos 48527137315.23 24.605389
a* Constante 52231332553.7 24.6789484
Compresibilidad de la 51832058128.54 24.6712747
n
torta
Coeficiente de compresibilidad
0 <n< 1 24.7

Imcompresible Muy compresible 24.68

f(x) = 0.179945532304402 x + 22.4078
R² = 0.86154546557708
24.66
n 0.17994553
24.64

24.62

24.6

24.58

24.56
12.2 12.25 12.3 12.35 12.4 12.45 12.5
 DP ln(DP)
206842.8 12.2397144
275790.4 12.5273964
310264.2 12.6451795

Coeficiente de compresibilidad de la torta

0.179945532304402 x + 22.4078125309947
.86154546557708

12.3 12.35 12.4 12.45 12.5 12.55 12.6 12.65 12.7