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A Finite-Difference Solution of Solute Transport through a Membrane Bioreactor
المؤلفون المشاركون
Sheldon, M. S.
Godongwana, B.
Solomons, D.
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2015، العدد 2015 (31 ديسمبر/كانون الأول 2015)، ص ص. 1-8، 8ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2015-03-25
دولة النشر
مصر
عدد الصفحات
8
التخصصات الرئيسية
الملخص EN
The current paper presents a theoretical analysis of the transport of solutes through a fixed-film membrane bioreactor (MBR), immobilised with an active biocatalyst.
The dimensionless convection-diffusion equation with variable coefficients was solved analytically and numerically for concentration profiles of the solutes through the MBR.
The analytical solution makes use of regular perturbation and accounts for radial convective flow as well as axial diffusion of the substrate species.
The Michaelis-Menten (or Monod) rate equation was assumed for the sink term, and the perturbation was extended up to second-order.
In the analytical solution only the first-order limit of the Michaelis-Menten equation was considered; hence the linearized equation was solved.
In the numerical solution, however, this restriction was lifted.
The solution of the nonlinear, elliptic, partial differential equation was based on an implicit finite-difference method (FDM).
An upwind scheme was employed for numerical stability.
The resulting algebraic equations were solved simultaneously using the multivariate Newton-Raphson iteration method.
The solution allows for the evaluation of the effect on the concentration profiles of (i) the radial and axial convective velocity, (ii) the convective mass transfer rates, (iii) the reaction rates, (iv) the fraction retentate, and (v) the aspect ratio.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Godongwana, B.& Solomons, D.& Sheldon, M. S.. 2015. A Finite-Difference Solution of Solute Transport through a Membrane Bioreactor. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074783
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Godongwana, B.…[et al.]. A Finite-Difference Solution of Solute Transport through a Membrane Bioreactor. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074783
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Godongwana, B.& Solomons, D.& Sheldon, M. S.. A Finite-Difference Solution of Solute Transport through a Membrane Bioreactor. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074783
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1074783
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