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Volumn 52, Issue 11, 2006, Pages 3813-3824

Approximate method for nonlinear differential and integrodifferential equations

Author keywords

Approximate method; Design (process simulation); Mass transfer; Mathematical modeling; Variable parameter averaging

Indexed keywords

APPROXIMATE METHOD; PERMEATE VELOCITY; VARIABLE PARAMETER AVERAGING;

EID: 33750534771     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10995     Document Type: Article
Times cited : (7)

References (32)
  • 9
    • 0343924417 scopus 로고    scopus 로고
    • Generalized integral and similarity solutions of the concentration profiles for osmotic pressure controlled ultrafiltration
    • De S, Bhattacharjee S, Sharma A, Bhattacharya PK. Generalized integral and similarity solutions of the concentration profiles for osmotic pressure controlled ultrafiltration. J Membr Sci. 1997;130:99-121.
    • (1997) J Membr Sci. , vol.130 , pp. 99-121
    • De, S.1    Bhattacharjee, S.2    Sharma, A.3    Bhattacharya, P.K.4
  • 11
    • 2542439667 scopus 로고
    • Numerical and analytical solutions for concentration polarization in hyperfiltration without axial flow
    • Bellucci F, Pozzi A. Numerical and analytical solutions for concentration polarization in hyperfiltration without axial flow. Int J Heat Mass Transfer. 1975;18:945-951.
    • (1975) Int J Heat Mass Transfer. , vol.18 , pp. 945-951
    • Bellucci, F.1    Pozzi, A.2
  • 13
    • 0009743943 scopus 로고
    • Concentration polarization in an unstirred batch cell: Measurements and comparison with theory
    • Liu MK, Williams FA. Concentration polarization in an unstirred batch cell: Measurements and comparison with theory. Int J Heat Mass Transfer. 1970;13:1441-1457.
    • (1970) Int J Heat Mass Transfer. , vol.13 , pp. 1441-1457
    • Liu, M.K.1    Williams, F.A.2
  • 14
    • 33750562108 scopus 로고
    • Calculation of concentration polarization in reverse osmosis plants with flat channel membrane elements
    • in Russian
    • Polyakov SV, Volgin VD, Maksimov ED, Sinyak YuE. Calculation of concentration polarization in reverse osmosis plants with flat channel membrane elements. Khim Tekhnol Vody (J Water Chem Technol). 1982;4:299-304 (in Russian).
    • (1982) Khim Tekhnol Vody (J Water Chem Technol) , vol.4 , pp. 299-304
    • Polyakov, S.V.1    Volgin, V.D.2    Maksimov, E.D.3    Sinyak, Yu.E.4
  • 16
    • 36849122625 scopus 로고
    • Laminar flow in channels with porous walls
    • Herman AS. Laminar flow in channels with porous walls. J Appl Phys. 1953;24:1232-1235.
    • (1953) J Appl Phys. , vol.24 , pp. 1232-1235
    • Herman, A.S.1
  • 18
    • 37049126949 scopus 로고
    • Rate of deposition of Brownian particles under the action of London and double-layer forces
    • Ruckenstein E, Prieve DC. Rate of deposition of Brownian particles under the action of London and double-layer forces. J Chem Soc Faraday Trans II. 1973;69:1522-1536.
    • (1973) J Chem Soc Faraday Trans II , vol.69 , pp. 1522-1536
    • Ruckenstein, E.1    Prieve, D.C.2
  • 19
    • 0002083917 scopus 로고
    • Role of the electrical double layer in particle deposition by convective diffusion
    • Spielman AL, Friedlander SK. Role of the electrical double layer in particle deposition by convective diffusion. J Colloid Interface Sci. 1974;46:22-31.
    • (1974) J Colloid Interface Sci. , vol.46 , pp. 22-31
    • Spielman, A.L.1    Friedlander, S.K.2
  • 20
    • 0002908775 scopus 로고
    • Adsorption of Brownian hydrosols onto a rotating disc aided by a uniform applied force
    • Prieve DC, Lin MMJ. Adsorption of Brownian hydrosols onto a rotating disc aided by a uniform applied force. J Colloid Interface Sci. 1980;76:32-47.
    • (1980) J Colloid Interface Sci. , vol.76 , pp. 32-47
    • Prieve, D.C.1    Lin, M.M.J.2
  • 24
    • 9444265322 scopus 로고    scopus 로고
    • Method of asymptotic interpolation in problems of chemical hydrodynamics and mass transfer
    • Vyaz'min AV, Denisov IA, Polyanin AD. Method of asymptotic interpolation in problems of chemical hydrodynamics and mass transfer. Theor Found Chem Eng. 2001;35:1-8.
    • (2001) Theor Found Chem Eng. , vol.35 , pp. 1-8
    • Vyaz'min, A.V.1    Denisov, I.A.2    Polyanin, A.D.3
  • 25
    • 27144439004 scopus 로고    scopus 로고
    • Membrane separation in dead-end hollow fiber filters at constant transmembrane pressure
    • Polyakov YuS. Membrane separation in dead-end hollow fiber filters at constant transmembrane pressure. Theor Found Chem Eng. 2005; 39:471-477.
    • (2005) Theor Found Chem Eng. , vol.39 , pp. 471-477
    • Polyakov, Y.S.1
  • 26
    • 33744511113 scopus 로고    scopus 로고
    • Dead-end outside-in hollow fiber membrane filter: Mathematical model
    • Polyakov YuS. Dead-end outside-in hollow fiber membrane filter: Mathematical model. J Membr Sci. 2006;279:615-624.
    • (2006) J Membr Sci. , vol.279 , pp. 615-624
    • Polyakov, Y.S.1
  • 27
    • 33646758544 scopus 로고    scopus 로고
    • Particle deposition in outside-in hollow fiber filters and its effect on their performance
    • Polyakov YuS. Particle deposition in outside-in hollow fiber filters and its effect on their performance. J Membr Sci. 2006;278:190-198.
    • (2006) J Membr Sci. , vol.278 , pp. 190-198
    • Polyakov, Y.S.1
  • 28
    • 18144393113 scopus 로고    scopus 로고
    • Membrane filtration with reversible adsorption: Outside-in hollow fiber membranes as collectors of colloidal particles
    • Polyakov YuS, Kazenin DA. Membrane filtration with reversible adsorption: Outside-in hollow fiber membranes as collectors of colloidal particles. Theor Found Chem Eng. 2005;39:118-128.
    • (2005) Theor Found Chem Eng. , vol.39 , pp. 118-128
    • Polyakov, Y.S.1    Kazenin, D.A.2
  • 29
    • 24144436214 scopus 로고    scopus 로고
    • Membrane filtration with reversible adsorption: The effect of transmembrane pressure, feed flow rate, and geometry of hollow fiber filters on their performance
    • Polyakov YuS, Kazenin DA. Membrane filtration with reversible adsorption: The effect of transmembrane pressure, feed flow rate, and geometry of hollow fiber filters on their performance. Theor Found Chem Eng. 2005;39:402-406.
    • (2005) Theor Found Chem Eng. , vol.39 , pp. 402-406
    • Polyakov, Y.S.1    Kazenin, D.A.2
  • 30
    • 33750561050 scopus 로고    scopus 로고
    • Nonlinear mass transfer with reversible adsorption on semipermeable membranes in membrane adsorbers
    • Kazan, Russia: Kazan State Technical Univ. (in Russian)
    • Polyakov YuS, Kazenin DA. Nonlinear mass transfer with reversible adsorption on semipermeable membranes in membrane adsorbers. Proceedings of the 18th International Science Conference: Mathematical Methods in Engineering. Kazan, Russia: Kazan State Technical Univ.; 2005;1:156-160 (in Russian).
    • (2005) Proceedings of the 18th International Science Conference: Mathematical Methods in Engineering , vol.1 , pp. 156-160
    • Polyakov, Y.S.1    Kazenin, D.A.2
  • 32
    • 0016520009 scopus 로고
    • Flow regimes in an unstirred discontinuous hyperfiltration process: Comparison between theoretical and experimental results
    • Bellucci F, Drioli E, Pozzi A. Flow regimes in an unstirred discontinuous hyperfiltration process: Comparison between theoretical and experimental results. Desalination. 1975;16:287-301.
    • (1975) Desalination , vol.16 , pp. 287-301
    • Bellucci, F.1    Drioli, E.2    Pozzi, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.