Mathematical and Technical Model Biogas Plant with a Membrane Separator
ZhanatUmarova and SharipzhanEskendirov South Kazakhstan State University, Tauke-Khan avenue 5, Shymkent, Kazakhstan
Abstract. The given mathematical model describes biogas plant with a membrane separator. There is
separation of multicomponent gas flow in modules of hollow fiber membranes in co-flow and counter flow.
The solution of the system, modeled by us, can be made with the help of Runge-Kutta method, traced to
Cauchy problem. Counter current configuration with component gases, having high selectivity, requires more
computing time.
Penetration of gas mixture similar to biogas, consisting of three components: methane, carbon dioxide and
oxygen have been presented in correspondence with the experiment. The results of modeled gas separation
correspond to observed estimations well. The highest indicator has been achieved at counter current
configuration.
Keywords: Mathematical model, Membrane Separation, Biogas, Permeate, Retentate.
1. Introduction
Biogas production, as a source of energy, is increasing annually in most countries of the world, which do
not have natural gas. For these countries biogas employment as fuel for gas-engines, for producing electro
energy and heat as well have three advantages: first, it reduces dependence of its economy from importers of
natural gas; secondly, it realizes the international policy on carbon dioxide burst, thirdly, it supports its
producer economically.
Besides, insignificant content of harmful components, unlike natural gas, containing large volume of
sulphur compounds, creating significant expenditure in its purification, biogas contains from 45 up to 70% of
methane, from 30 to 45% of carbon dioxide and less than 10% of ammonia, hydrogen sulphide, nitrogen and
oxygen totally, and also insignificant amount of water vapour. To approximate biogas in quality to supplied
market natural biogas technological transformations are necessary. Separation of harmful substances [1],
drying and evolution of carbon dioxide, as inert one for constituents combustion, that is biogas enrichment
are the most important of them.
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ZhanatUmarova and SharipzhanEskendirov South Kazakhstan State University, Tauke-Khan avenue 5, Shymkent, Kazakhstan
Abstract. The given mathematical model describes biogas plant with a membrane separator. There is
separation of multicomponent gas flow in modules of hollow fiber membranes in co-flow and counter flow.
The solution of the system, modeled by us, can be made with the help of Runge-Kutta method, traced to
Cauchy problem. Counter current configuration with component gases, having high selectivity, requires more
computing time.
Penetration of gas mixture similar to biogas, consisting of three components: methane, carbon dioxide and
oxygen have been presented in correspondence with the experiment. The results of modeled gas separation
correspond to observed estimations well. The highest indicator has been achieved at counter current
configuration.
Keywords: Mathematical model, Membrane Separation, Biogas, Permeate, Retentate.
1. Introduction
Biogas production, as a source of energy, is increasing annually in most countries of the world, which do
not have natural gas. For these countries biogas employment as fuel for gas-engines, for producing electro
energy and heat as well have three advantages: first, it reduces dependence of its economy from importers of
natural gas; secondly, it realizes the international policy on carbon dioxide burst, thirdly, it supports its
producer economically.
Besides, insignificant content of harmful components, unlike natural gas, containing large volume of
sulphur compounds, creating significant expenditure in its purification, biogas contains from 45 up to 70% of
methane, from 30 to 45% of carbon dioxide and less than 10% of ammonia, hydrogen sulphide, nitrogen and
oxygen totally, and also insignificant amount of water vapour. To approximate biogas in quality to supplied
market natural biogas technological transformations are necessary. Separation of harmful substances [1],
drying and evolution of carbon dioxide, as inert one for constituents combustion, that is biogas enrichment
are the most important of them.
Download: PDF or live view
