<p>Cake filtration is a unit operation to separate solids from fluids in industrial processes. The build up of a filter cake is usually accompanied with a decrease in overall permeability over the filter leading to an increased pressure drop over the filter. For an incompressible filter cake that builds up on a homogeneous filter cloth, a linear pressure drop profile over time is expected for a constant fluid volume flow. However, experiments show curved pressure drop profiles, which are also attributed to inhomogeneities of the filter (filter medium and/or residual filter cake).</p><p>In this work, a mathematical filter model is developed to describe the relationship between time and overall permeability. The model considers a filter with an inhomogeneous permeability and accounts for fluid mechanics by a one-dimensional formulation of Darcy's law and for the cake build up by solid continuity. The model can be solved analytically in the time domain. The analytic solution allows for the unambiguous inversion of the model to determine the inhomogeneous permeability from the time resolved overall permeability, e.g. pressure drop measurements. An error estimation of the method is provided by rewriting the model as convolution transformation.</p><p>This method is applied to simulated and experimental pressure drop data of gas filters with textile filter cloths and various situations with non-uniform flow situations in practical problems are explored. A routine is developed to generate characteristic filter cycles from semi-continuous filter plant operation. The model is modified to investigate the impact of non-uniform dust concentrations.</p>

Cake filtration is a unit operation to separate solids from fluids in industrial processes. The build up of a filter cake is usually accompanied with a decrease in overall permeability over the filter leading to an increased pressure drop over the filter. For an incompressible filter cake that builds up on a homogeneous filter cloth, a linear pressure drop profile over time is expected for a constant fluid volume flow. However, experiments show curved pressure drop profiles, which are also attributed to inhomogeneities of the filter (filter medium and/or residual filter cake). In this work, a mathematical filter model is developed to describe the relationship between time and overall permeability. The model considers a filter with an inhomogeneous permeability and accounts for fluid mechanics by a one-dimensional formulation of Darcy's law and for the cake build up by solid continuity. The model can be solved analytically in the time domain. The analytic solution allows for the unambiguous inversion of the model to determine the inhomogeneous permeability from the time resolved overall permeability, e.g. pressure drop measurements. An error estimation of the method is provided by rewriting the model as convolution transformation. This method is applied to simulated and experimental pressure drop data of gas filters with textile filter cloths and various situations with non-uniform flow situations in practical problems are explored. A routine is developed to generate characteristic filter cycles from semi-continuous filter plant operation. The model is modified to investigate the impact of non-uniform dust concentrations.

Up to date, sludge filterability has been characterized by the Ruth&rsquo / s classical filtration theory and quantified by the well-known parameter specific cake resistance (SCR). However, the complexity of the actual phenomenon is clearly underestimated by the classical filtration theory and SCR is often not satisfactory in describing filterability. Although many scientific studies were conducted for a better analysis and understanding of the filtration theory, still a practically applicable solution to replace the classical theory for a better description of filterability has not been proposed yet. In the present study, blocking filtration laws proposed by Hermans and Bred&eacute / e, dating back to 1936, which have been extensively used in the membrane literature for the analysis of fouling phenomenon and the multiphase filtration theory developed by Willis and Tosun (1980) highlighting the importance of the cake-septum interface in determining the overall filtration rate have been adopted for the analysis of filterability of sludge systems. Firstly, the inadequacy of the classical filtration theory in characterizing the filterability of real sludge systems and also the lack of the currently used methodology in simulating filtration operation was highlighted. Secondly, to better understand the effect of slurry characteristics and operational conditions on filtration, model slurries of spherical and incompressible Meliodent particles were formed. Finally, a methodology was developed with the gathered filtration data to assess the filterability of the sludge systems by both theories. The results clearly show that both approaches were superior to the classical approach in terms of characterizing the filterability of sludge systems. While blocking laws yielded a slurry specific characterization parameter to replace the commonly used SCR, the multiphase theory provided a better understanding of the physical reality of the overall process.

Planetens resurser utnyttjas inte på ett ansvarsfullt sätt och för att uppnå en hållbar utveckling behöver en förändring ske i hur dessa resurser konsumeras och produceras. Ett företag som arbetar för att använda sina resurser mer effektivt och minska sin negativa miljöpåverkan är Aurobay Sweden AB.  Aurobay tillverkar drivlinor för interna hybrid- och förbränningsmotorer och använder skärande bearbetning i delar av sin produktionsprocess. Till den skärande bearbetningen används skärvätska vilket behöver filtreras för att kunna återanvändas. Företaget använder en filtreringsprocess med filterduk för att separera spånor från skärvätskan. Aurobay vill minska sin förbrukning av filterduk och skaffa en bättre förståelse för hur företagets filtreringsutrustning kan nyttjas bättre i framtiden.  Ett experiment genomfördes för att utvärdera hur en förändring av cykeltid påverkade mängden spånor som transporterades bort från filtreringsutrustningen. Resultatet visade att mätningar behöver genomföras under en längre period eftersom externa faktorer kan ha en påverkande effekt. Efter en nulägesanalys av utnyttjandegraden på några av företagets filtreringsutrustningar kunde det konstateras att den kunde vara så låg som 15 %. Genom att öka cykeltiden som filtreringsutrustningarna filtrerar kan utnyttjandegraden höjas och förbrukningen av filterduk minskas med 26 %. Utan ytterligare investeringar kan Aurobay minska kostnaderna för att köpa in ny filterduk och hantering av den förbrukade. / The planet’s resources are not being utilized responsibly, and to achieve sustainable development, changes are needed in how these resources are consumed and produced. Aurobay Sweden AB is one such company working to use its resources more efficiently and reduce its negative environmental impact.  Aurobay manufactures drivetrains for internal hybrid and combustion engines and for some of its production process machining is used. Cutting fluid is used in this machining process and it needs to be filtered before reuse. Aurobay utilizes a filtration process with filter media to separate chips from the cutting fluid. Aurobay aims to reduce its use of filter media and seeks to gain a better understanding of how the company’s filtration equipment can be optimized for future use.  An experiment was conducted to assess the impact of changing the filtration equipment’s cycle time when it comes to remove chips from a filtration process. The results indicated that measurements need to be conducted over a longer period as external factors may have an influencing effect. After an analysis of the utilization rate on some of the company’s filtration process equipment, it was found that utilization rates could be as low as 15 %. The utilization rate can be improved by increasing the cycle time which the filtration equipment operates, and the consumption of filter media can be reduced by 26 %. Without additional investments, Aurobay can reduce the costs for both purchasing new filter media and removal of the old one.

粉体の微粒子化に伴い，固液分離操作の中でも高精度かつ多量処理が可能なろ過の重要性はますます高まっている．しかしながら，微粒子スラリーのろ過抵抗は非常に大きく，所望の処理能力を得られないことが多い．本論文では，ろ過操作設計におけるろ材抵抗，スラリー凝集・分散状態，ケークろ過抵抗の予測に関して数値シミュレーションを利用した検討を行うことで，微粒子スラリーのろ過抵抗の低減に有用な知見を得ることができた． / 著者名の「吉」は「土」の下に「口」の置き換え / 博士(工学) / Doctor of Philosophy in Engineering / 同志社大学 / Doshisha University