Mathematical modeling of wastewater treatment from multicomponent pollution by through microporous filling

Modeling of the Contact Removal of Iron From Groundwater

“…Consider a problem describing the filtration process (removal of pollutants from liquid which is characterized by two values of impurity concentrations) according to the classical model (see [8]) taking into account the reverse influence on the porosity and the coefficients characterizing adhesion of impurities and avulsion of sediments. According to the above the mathematical description of this filtering can be written as follows…”

“…is a function defining mass rate of depositing impurities per unit of time (β 0 is a mass transfer coefficient, β * is a normalizing coefficient, v is a filtration rate, d is an equivalent diameter of the media, γ 1 , γ 2 are empirical coefficients depending on physical and chemical properties of inlet water); α (t) is a function which expresses mass rate avulsed from the granular media filter; µ (t) is a function defining mass distribution of the sludge during time (is found experimentally (see [8])), condition(4) is supposed for determination α (t) (see [4], [6]); c * * (t) = C in is the concentration of impurities at filter inlet; σ (ρ) = σ 0 − γ −1 ρ is the porosity of the filter media (σ 0 is the porosity of the clear media, γ is a mass concentration of solids per unit of volume); κ (ρ) is a function defining filtration…”

Modeling and Simulation in Engineering Modeling of the Electrocoagulation Processes in Nonisothermal Conditions

“…, and d iC are known functions that are the sum of the products of the members of the series (9) and (10), their partial derivatives, and the coefficients of the corresponding powers of the small parameter in the decomposition of the corresponding functions d(L − ξδ, ψ, t) in the Taylor series in the vicinity φ � L. Functions of the type of adjoining layer are found similarly to [14][15][16]. Figure 2.…”

“…Taking into account that the problem is to find the velocity field (2) and (3) with the given boundary conditions [5] is resolved [12], in particular, calculated velocity field and a number of other variables, such as filtration consumption, and replaced the variables x � x(φ, ψ), y � y(φ, ψ) in the system (7) and conditions (8), the corresponding "diffusion problem" [14,15] was received. e solutions with precision O(δ n+1 ) (δ -small parameter characterizing the predominance of the convective and mass-exchange components of the process of mass transfer, D(T) � δ d(T), |v| > v * ≫ δ) was found in the form of asymptotic series [16]:…”

Spatial modeling of multicomponent pollution removal for liquid treatment under identification of mass transfer coefficient

“…where C i is the concentration of i-th impurity component (i = 1, m) in liquid filter medium. The corresponding process of filtration for the domain G = C z × (0, ∞) is described by the following modeling problem [9][10][11][14][15][16][17]:…”