tailieunhanh - Intro to Practical Fluid Flow Episode 11

Tham khảo tài liệu 'intro to practical fluid flow episode 11', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Sedimentation and thickening 191 difference scheme is used to ensure stability. The compression zone is covered by a grid so that at any grid point X jAx with i 0 1 2 . J st where s is the slope of line oz and t iAt The grid spacings in the spatial and time dimensions are chosen to satisfy s At v 7 so that grid points fall exactly and line oz making the application of boundary condition on the upper surface convenient in the form q - q_i 0 so that q ciJ_1 Cc The boundary condition at X 0 is approximated by ci 1 ri 1 C . ci nvCX e 1 A. 1 1 -0 1 0 6-92 Ax Ax ct Cq In the interior of the compression zone the parabolic partial differential equation is approximated by the tridiagonal implicit scheme Burger and Concha 1998 1 1 - ha c i 1 - 0 aiịCiị 1 - 2 1 - 1 - e aịcị_1 Cj 1 _qq Ax with C qc - - and A sAx At v 7 A value of 0 appears to be satisfactory in most cases and the development of the concentration profile in the compression zone is easy to compute using equation up to time fc. For times greater than fc equation is used but the height of the sediment decreases steadily so that equation is satisfied at each time step. 192 Introduction to Practical Fluid Flow When the concentration at each grid point has been calculated the contours of constant solid concentration can be plotted by interpolating between grid points. Some typical results are shown in Figure . The calculation methods that are presented in this chapter are not suitable for manual calculations and computer methods are essential. The FLUIDS toolbox provides a selection of useful models for both batch and continuous thickener calculations. The reader is encouraged to explore the different combination of models that are possible and to investigate the effect of parameter variations on the calculated results. It should be remembered that the models are highly nonlinear and the effect of even small changes in the parameter values .

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