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CFD investigation of the agitation in the desupersaturation during the wet-process phosphoric acid(WPPA)process

Chinese Journal of Chemical Engineering 2020年第8期28卷 2064-2074页

作者： Asmaa Hadane Lhachmi Khamar Saad Benjelloun Abderrahman Nounah Mohammed Khamar LGCE Higher School of Technology in SaléMohammed V University in RabatMorocco msda Mohammed 6th Polytechnic UniversityBenguerir 43150Morocco LIPIM National School of Applied sciences in KhouribgaSultan Moulay Sliman University in Beni MellalMorocco

Desupersaturation is a complex cooling operation that involves hydrodynamic,thermal and mechanical *** process requires continuous agitation to avoid fouling problems and sludge *** current work aims to investigate the well mixedness in the desupersaturation tank for optimal *** this purpose,a multi-fluid CFD study was conducted based on the Euler–Euler modeling approach,considering a multiphase flow involving a liquid phase(phosphoric acid)and a poly-dispersed solid phase,i.e.a sludge with three different sizes where each size is considered as a separate ***,the hydrodynamic behavior of the flow within the agitated desupersaturator is analyzed through the investigation of the velocity fields as well as the power and pumping numbers,to determine both the agitator capacity to pump the flow and its power consumption during the ***,in order to assess the mixture homogeneity,we evaluated the solid suspension in the desupersaturation reactor following conventional methods and two new proposed methodologies:the first approach is to evaluate the suspension quality in the mixing system by compartment and the second consists on the assessment of the uniform convergence of the solid ***,we calculated the time required to achieve a full suspension at different solid *** other hand,we conducted a detailed analysis of the solid distribution dependency on the impeller rotational speed at different solid volume fraction,which allows a good understanding of the parameters controlling the homogenization in the desupersaturator.

关键词： CFD Multiphase flow Mass transfer Phosphoric acid Agitation

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A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

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Advances in Applied Mathematics and Mechanics 2023年第5期15卷 1335-1378页

作者： Moussa Ziggaf Imad Kissami Mohamed Boubekeur Fayssal Benkhaldoun ENSAO LMCSComplexe UniversitaireB.P.66960000 OujdaMorocco msda Mohammed VI Polytechnic UniversityLot 66043150 Ben GuerirMorocco Universit´eéSorbonne Paris Nord LAGACNRSUMR 7539F-93430VilletaneuseFrance

This paper aims to present a new well-balanced,accurate and fast finite volume scheme on unstructured grids to solve hyperbolic conservation *** is a scheme that combines both finite volume approach and characteristic *** this study,we consider a shallow water system with Coriolis effect and bottom friction stresses where this new Finite Volume Characteristics(FVC)scheme has been *** physical and mathematical properties of the system,including the C-property,have been well ***,we developed this approach by preserving the advantages of the finite volume discretization such as conservation property and the method of characteristics,in order to avoid Riemann solvers and to enhance the accuracy without any complexity of the MUSCL ***,a discretization was applied to the bottom source term that leads to a well-balanced scheme satisfying the steady-state condition of still water.A semi-implicit treatment will also be presented in this study to avoid stability problems due to source ***,the proposed finite volume method is verified on several benchmark tests and shows good agreement with analytical solutions and experimental results;moreover,it gives a noteworthy accuracy and rapidity improvement compared to the original approaches.

关键词： Shallow water model method of characteristics FVC scheme finite volume method well-balanced scheme

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