One-dimensional Turbulent Mass Transfer At
Air-water Interfaces: Details Of Discontinuities
Of Derivatives Using The RSW Method
Author(s)
B. B. Gonçalves & H. E. Schulz
Abstract
The one-dimensional turbulent mass transfer was quantified using the nonlinear
unclosed statistical governing equations derived from the traditional statistical
methods. Further, this study considers the a priori simplifications of the bimodal
Random Square Waves (RSW) approximation. This model enables the
formulation of parametric equations for the variables of the statistical governing
equations, but intrinsic aspects of this method still need to be clarified. In this
sense, this study considers details of a version of the RSW equation for turbulent
mass transfer which uses a constant reduction function. The mentioned details
are related to discontinuities of higher order derivatives of the nondimensional
concentration profile in the vicinity of a singular point. Numerical integrations
were conducted at the air-water interface in both directions: from the liquid to
the gas phase, and from the gas to the liquid phase. The results suggest that the
continuity and smoothness of the calculated concentration profile does not
depend on the discontinuities of the higher order derivatives, but the behaviour
of the higher order derivatives depends strongly on the values of the
nondimensional parameters existing in the formulation. Adequate boundary
conditions were defined in the liquid phase, involving a new condition for the
second derivative of the concentration profile. A fourth order Runge-Kutta
method was used. This paper presents the proposed methodology; the
comparison between results of calculated and measured concentration profiles,
Keywords
turbulent flows, interfacial mass transfer, RSW method
Related Book
Other papers in this volume
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