Theory and Technical Background The Uni-Minn Development Corporation was asked to design a filter system capable of filtering 500 gallons per hour of a slurry solution containing the 4% Celite-500 (17.3 μm particle diameter) by mass. The large-scale filtration system shall be of the rotating drum type and capable of continuous operation. Two days of bench-scale testing was performed at the Unit Operations Laboratory of the Uni-Minn Development Corporation to determine the parameters needed for scale-up. Basic Filtration Theory Filtration is a mechanical separation process that separates two suspension phases from each other.[7] Filtration plays a vital role throughout industry and is particularly important in water treatment, paper production, and mineral processing.[8] Filtration is used to recover solids, to clarify liquids, or to recover both phases .The filtration apparatus in the Uni-Minn Development Cooperation Unit Operational Laboratory is a vertical pressure leaf filter. Specific details of the apparatus are contained in the apparatus subsection, but a basic schematic is shown in Figure 1.1 below. Vacuum is used to force the flow of a slurry solution through a filter media with cross-sectional area A. From the top of the filter flows a volume, V, of filtrate. A filter panel of length L is formed at the bottom of the filter medium. The figure is drawn during the filtration cycle. Figure 1.1 – Configuration of the vertical pressure lamella apparatus. The filter cake that forms at the bottom of the filter medium can be modeled as a compact bed of particles. Therefore, the Carmen-Kozeny relation holds for laminar flow in a compact bed of particles.[4] That is, pc k1 v 1 S022(1)[4]3Lw...... half of the document ......terial.[3]Error analysisThe uncertainty associated with the laboratory measurements can be determined by taking multiple measurements. For a measurement repeated n times, the average is defined as nXi(22)Xi1where the Xi are the experimental measurements. The standard deviation, s, can be calculated using the formulan (X s(24 )where t is the appropriate value from the Student's t table. The error can also be propagated during calculations. When two values with errors e1 and e2 are added, the resulting error, e, ise e1 e2(25)When two values, x1 and x2, with errors e1 and e2 are multiplied, the resulting error, e, is22 e1 e2 e x1 x2 x1 x2 (26)
tags