Numerical solution of a PDE system with non-linear steady state conditions that translates the air stripping pollutants removal

This work deals with the numerical simulation of air stripping process for the pre-treatment of groundwater used in human consumption. The model established in steady state presents an exponential solution that is used, together with the Tau Method, to get a spectral approach of the solution of the system of partial differential equations associated to the model in transient state.

Project, modelling and simulation of air stripping columns for the treatment of groundwater contaminated with volatile organic compounds

Volatile organic compounds are a common source of groundwater contamination that can be easily removed by air stripping in columns with random packing and using a counter-current flow between the phases. This work proposes a new methodology for the column design for any particular type of packing and contaminant avoiding the necessity of a pre-defined diameter used in the classical approach. It also renders unnecessary the employment of the graphical Eckert generalized correlation for pressure drop estimates. The hydraulic features are previously chosen as a project criterion and only afterwards the mass transfer phenomena are incorporated, in opposition to conventional approach. The design procedure was translated into a convenient algorithm using C++ as programming language. A column was built in order to test the models used either in the design or in the simulation of the column performance. The experiments were fulfilled using a solution of chloroform in distilled water. Another model was built to simulate the operational performance of the column, both in steady state and in transient conditions. It consists in a system of two partial non linear differential equations (distributed parameters). Nevertheless, when flows are steady, the system became linear, although there is not an evident solution in analytical terms. In steady state the resulting system of ODE can be solved, allowing for the calculation of the concentration profile in both phases inside the column. In transient state the system of PDE was numerically solved by finite differences, after a previous linearization.

Experimental assessment of pressure drop in air stripping columns

One important step in the design of air stripping operations for the removal of VOC is the choice of operating conditions, which are based in the phase ratio. This parameter sets on directly the stripping factor and the efficiency of the operation. Its value has an upper limit determined by the flooding regime, which is previewed using empirical correlations, namely the one developed by Eckert. This type of approach is not suitable for the development of algorithms. Using a pilot scale column and a convenient solution, the pressure drop was determined in different operating conditions and the experimental values were compared with the estimations. This particular research will be incorporated in a global model for simulating the dynamics of air stripping using a multi variable distributed parameter system.

Practical software improve design and performance of a randomly packed air stripping column for removing volatile organic compounds from water

STRIPPING is a software application developed for the automatic design of a randomly packing column where the transfer of volatile organic compounds (VOCs) from water to air can be performed and to simulate it’s behaviour in a steady-state. This software completely purges any need of experimental work for the selection of diameter of the column, and allows a choice, a priori, of the most convenient hydraulic regime for this type of operation. It also allows the operator to choose the model used for the calculation of some parameters, namely between the Eckert/Robbins model and the Billet model for estimating the pressure drop of the gaseous phase, and between the Billet and Onda/Djebbar’s models for the mass transfer. Illustrations of the graphical interface offered are presented.

Spectral solution for the air stripping pollutants removal dynamic model with non linear steady state conditions

This work deals with the numerical simulation of air stripping process for the pre-treatment of groundwater used in human consumption. The model established in steady state presents an exponential solution that is used, together with the Tau Method, to get a spectral approach of the solution of the system of partial differential equations associated to the model in transient state.

A New Approach in the Design of Air Stripping Columns for the Treatment of Groundwater Contaminated With Volatile Organic Compounds

Volatile organic compounds are a common source of groundwater contamination that can be easily removed by air stripping in columns with random packing and using a counter-current flow between the phases. This work proposes a new methodology for column design for any type of packing and contaminant which avoids the necessity of an arbitrary chosen diameter. It also avoids the employment of the usual graphical Eckert correlations for pressure drop. The hydraulic features are previously chosen as a project criterion. The design procedure was translated into a convenient algorithm in C++ language. A column was built in order to test the design, the theoretical steady-state and dynamic behaviour. The experiments were conducted using a solution of chloroform in distilled water. The results allowed for a correction in the theoretical global mass transfer coefficient previously estimated by the Onda correlations, which depend on several parameters that are not easy to control in experiments. For best describe the column behaviour in stationary and dynamic conditions, an original mathematical model was developed. It consists in a system of two partial non linear differential equations (distributed parameters). Nevertheless, when flows are steady, the system became linear, although there is not an evident solution in analytical terms. In steady state the resulting ODE can be solved by analytical methods, and in dynamic state the discretization of the PDE by finite differences allows for the overcoming of this difficulty. To estimate the contaminant concentrations in both phases in the column, a numerical algorithm was used. The high number of resulting algebraic equations and the impossibility of generating a recursive procedure did not allow the construction of a generalized programme. But an iterative procedure developed in an electronic worksheet allowed for the simulation. The solution is stable only for similar discretizations values. If different values for time/space discretization parameters are used, the solution easily becomes unstable. The system dynamic behaviour was simulated for the common liquid phase perturbations: step, impulse, rectangular pulse and sinusoidal. The final results do not configure strange or non-predictable behaviours.

Packed column air stripping.

Mode of access: Internet.

Air stripping of aqueous solutions.

Mode of access: Internet.

Remoção de amônia do lixiviado por arraste de ar e caracterização por fracionamento com membrana.

A proposta deste trabalho é estudar a tecnologia para a remoção de amônia do lixiviado através do processo físico-químico de arraste com ar e a sua caracterização por processos de fracionamento com membranas de MF e UF. Foram analisados no processo de arraste de ar os parâmetros pH, vazão de ar e tempo de operação. Foi verificada a remoção de nitrogênio amoniacal de 93,5% em um tempo de operação de 6 horas, com ajuste de pH igual a 11 e vazão de ar 100 L/h. Após a remoção do nitrogênio amoniacal, os lixiviados foram submetidos a processo de fracionamento com membranas de microfiltração (MF) e ultrafiltração (UF), sendo investigadas a remoção de amônia, a condutividade, DQO, COD, cloreto e pH. Obtiveram-se resultados praticamente constantes à medida que o lixiviado permeou nas membranas de MF e UF. Ademais, empregaram-se testes de toxicidade e ensaios de tratabilidade biológica com amostras de lixiviado bruto, lixiviado tratado (baixa concentração de amônia) e lixiviados fracionados com membranas de MF e UF. Nos ensaios de tratabilidade biológica os resultados mostraram que não houve uma remoção significativa de matéria orgânica e nos testes de toxicidade com organismos Danio rerio, embora tenha ocorrido uma redução na toxicidade na sequência dos experimentos, foi constatado que o lixiviado bruto, lixiviado tratado com remoção de amônia e fracionados com membranas de MF e UF mantiveram elevada toxicidade.

Modelagem e simulação da dinâmica do arrastamento por ar

Os compostos orgânicos voláteis constituem uma fonte vulgar de contaminação da água subterrânea, a qual pode ser eliminada pela tecnologia do arrastamento por ar (air stripping) em colunas com enchimento desordenado e utilizando fluxos das fases em contra-corrente. Propõe-se neste trabalho uma nova metodologia de dimensionamento destas colunas, para qualquer tipo de enchimento e de contaminante, onde não há necessidade de se arbitrar nenhum diâmetro, onde se evita o recurso a ábacos experimentais e onde o regime hidráulico conveniente é seleccionado à partida. O procedimento proposto foi algoritmizado e convertido num programa em linguagem C++. Para verificar e testar não só o dimensionamento mas também o comportamento teórico estacionário e dinâmico construiu-se de raiz uma coluna experimental. Seleccionou-se como contaminante uma solução de clorofórmio em água destilada. A experimentação permite, ainda, corrigir o coeficiente de transferência de massa global teórico estimado pelas correlações de Onda e que depende de inúmeros parâmetros nem sempre controláveis experimentalmente. Apresenta-se, em seguida, um modelo original de simulação dinâmica do comportamento da coluna e que é constituído por um sistema de equações diferenciais não lineares (parâmetros distribuidos). No entanto, se os débitos forem arbitrados como constantes, o sistema passa a ser linear apesar de não possuir solução analítica evidente (p.e. por transformações integrais). A discretização por diferenças finitas permitiu superar estas dificuldades. Existe uma notável concordância entre os valores experimentais e os previstos no modelo.

Avaliação de processos de caracterização e remediação de passivos ambientais de contaminação por hidrocarbonetos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)