牛乳成分の限外〓過分画に関する理論的解析

冨田 守; 福渡 康夫; 田村 吉隆; 溝田 輝彦; 清澤 功; 小此木 成夫; 荒井 珪; 難波 靖尚

doi:10.2508/chikusan.54.12_777

Theoretical Studies on the Ultrafiltration of Milk Composition

Mamoru TOMITA, Yasuo FUKUWATARI, Yoshitaka TAMURA, Teruhiko MIZOTA, Isao KIYOSAWA, Shigeo OKONOGI, Kei ARAI, Yasuhisa NAMBA

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JOURNAL FREE ACCESS

1983 Volume 54 Issue 12 Pages 777-787

DOI https://doi.org/10.2508/chikusan.54.12_777

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Published: December 25, 1983 Received: May 17, 1983 Available on J-STAGE: March 10, 2008 Accepted: - Advance online publication: - Revised: -
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Date of correction: March 10, 2008 Reason for correction: - Correction: PDF FILE Details: -

Date of correction: March 10, 2008 Reason for correction: - Correction: PDF FILE Details: -

Date of correction: March 10, 2008 Reason for correction: - Correction: ABSTRACT Details: Wrong : 1. The theoretical equations concerning the quantitative changes of constituents in the re-tentate and permeate on the process of ultrafiltration of whole milk were introduced. The quantity (APN (parts)) of membrane-permeable component A in the retentate at the concentra-tion factors (CF) of N is represented in the following equation.
APN=AP1••(MN/M1)CA
Ap1: the quantity of membrane-permeable component A in 100 parts of whole milk
M1: the quantity of water in 100 parts of whole milk
MN: the quantity of water in the retentate at CF N
CA: the permeability coefficient of membrane-permeable component A
The concentration (ARN (%)) of component A in the retentate at CF N is represented in the following equation.
ARN=N•(A1-AP1+APN)
A1: the quantity of component A in 100 parts of whole milk
The concentration (APPN'(%)) of component A in the permeate which permeates the mem-brane at CF N is represented in the following equation.
APPN'=100•CA•APN/(MN+CS•SPN)
Cs: the permeability coefficient of membrane-permable total solids
SPN: the quantity of membrane-permeable total solids in the retentate at CF N
2.Fresh whole milk was ultrafiltrated to CF about 3 at 10°C with the module UFP-10 equipped with the membrane IRIS 3038 of Rhone-Poulenc-Chimie Fine. The contents of permeable components in the milk were calculated by the equations using the analytical results of ARN and APPN'. The quantity of permeable and total components in 100g of the milk; total solids: 5.18, 11.73 (g), protein: 0.18, 3.05(g), lactose: 4.37, 4.26(g), ash: 0.46, 0.71(g), Na: 42.2, 46.2(mg), K: 144, 150(mg), Cl: 101, 101(mg), Ca: 35.9, 106(mg), Mg: 7.68, 10.7(mg), P: 39.8, 90.0(mg), and citric acid: 168, 188(mg). The permeability coefficient of each permeable component was 0.88, 0.83, 0.88, 0.95, 0.97, 0.94, 1.03, 0.88, 0.87, 0.93, and 0.92 respectively. The permeable fat was not detected, so the permeability coefficient could not be calculated.
3. The theoretical equations mentioned above were proved to be appropriate to represent the quantitative changes of each component in retentate and permeate on the process of ultrafiltration of whole milk to CF 3. And MN is obtained by the following equation approximately. MN_??_M1-(100-SP1)(N-1)/N
Right : 1. The theoretical equations concerning the quantitative changes of constituents in the re-tentate and permeate on the process of ultrafiltration of whole milk were introduced. The quantity (APN (parts)) of membrane-permeable component A in the retentate at the concentra-tion factors (CF) of N is represented in the following equation.
APN=AP1••(MN/M1)CA
Ap1: the quantity of membrane-permeable component A in 100 parts of whole milk
M1: the quantity of water in 100 parts of whole milk
MN: the quantity of water in the retentate at CF N
CA: the permeability coefficient of membrane-permeable component A
The concentration (ARN (%)) of component A in the retentate at CF N is represented in the following equation.
ARN=N•(A1-AP1+APN)
A1: the quantity of component A in 100 parts of whole milk
The concentration (APPN'(%)) of component A in the permeate which permeates the mem-brane at CF N is represented in the following equation.
APPN'=100•CA•APN/(MN+CS•SPN)
Cs: the permeability coefficient of membrane-permable total solids
SPN: the quantity of membrane-permeable total solids in the retentate at CF N
2.Fresh whole milk was ultrafiltrated to CF about 3 at 10°C with the module UFP-10 equipped with the membrane IRIS 3038 of Rhone-Poulenc-Chimie Fine. The contents of permeable components in the milk were calculated by the equations using the analytical results of ARN and APPN'. The quantity of permeable and total components in 100g of the milk; total solids: 5.18, 11.73 (g), protein: 0.18, 3.05(g), lactose: 4.37, 4.26(g), ash: 0.46, 0.71(g), Na: 42.2, 46.2(mg), K: 144, 150(mg), Cl: 101, 101(mg), Ca: 35.9, 106(mg), Mg: 7.68, 10.7(mg), P: 39.8, 90.0(mg), and citric acid: 168, 188(mg). The permeability coefficient of each permeable component was 0.88, 0.83, 0.88, 0.95, 0.97, 0.94, 1.03, 0.88, 0.87, 0.93, and 0.92 respectively. The permeable fat was not detected, so the permeability coefficient could not be calculated.3. The theoretical equations mentioned above were proved to be appropriate to represent the quantitative changes of each component in retentate and permeate on the process of ultrafiltration of whole milk to CF 3. And MN is obtained by the following equation approximately. MN_??_M1-(100-SP1)(N-1)/N

Date of correction: March 10, 2008 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Morinaga Milk Industry Co., Ltd
2) Japan Food Industry Center

Right :
1) Morinaga Milk Industry Co., Ltd.
2) Japan Food Industry Center

Date of correction: March 10, 2008 Reason for correction: - Correction: PDF FILE Details: -

Abstract

1. The theoretical equations concerning the quantitative changes of constituents in the re-tentate and permeate on the process of ultrafiltration of whole milk were introduced. The quantity (APN (parts)) of membrane-permeable component A in the retentate at the concentra-tion factors (CF) of N is represented in the following equation.
APN=AP1••(MN/M1)CA
Ap1: the quantity of membrane-permeable component A in 100 parts of whole milk
M1: the quantity of water in 100 parts of whole milk
MN: the quantity of water in the retentate at CF N
CA: the permeability coefficient of membrane-permeable component A
The concentration (ARN (%)) of component A in the retentate at CF N is represented in the following equation.
ARN=N•(A1-AP1+APN)
A1: the quantity of component A in 100 parts of whole milk
The concentration (APPN'(%)) of component A in the permeate which permeates the mem-brane at CF N is represented in the following equation.
APPN'=100•CA•APN/(MN+CS•SPN)
Cs: the permeability coefficient of membrane-permable total solids
SPN: the quantity of membrane-permeable total solids in the retentate at CF N
2.Fresh whole milk was ultrafiltrated to CF about 3 at 10°C with the module UFP-10 equipped with the membrane IRIS 3038 of Rhone-Poulenc-Chimie Fine. The contents of permeable components in the milk were calculated by the equations using the analytical results of ARN and APPN'. The quantity of permeable and total components in 100g of the milk; total solids: 5.18, 11.73 (g), protein: 0.18, 3.05(g), lactose: 4.37, 4.26(g), ash: 0.46, 0.71(g), Na: 42.2, 46.2(mg), K: 144, 150(mg), Cl: 101, 101(mg), Ca: 35.9, 106(mg), Mg: 7.68, 10.7(mg), P: 39.8, 90.0(mg), and citric acid: 168, 188(mg). The permeability coefficient of each permeable component was 0.88, 0.83, 0.88, 0.95, 0.97, 0.94, 1.03, 0.88, 0.87, 0.93, and 0.92 respectively. The permeable fat was not detected, so the permeability coefficient could not be calculated.3. The theoretical equations mentioned above were proved to be appropriate to represent the quantitative changes of each component in retentate and permeate on the process of ultrafiltration of whole milk to CF 3. And MN is obtained by the following equation approximately. MN_??_M1-(100-SP1)(N-1)/N

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