Residence Time Distribution Studies in a Modified Rotating Packed Disc Contactor: Mathematical Modeling and Validation
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Rohit P. Kalnake
Abstract
A modified rotating packed disc contactor (RPDC) with the maximum working volume of 65 liter is designed for biological waste water treatment. A hollow disc with radial vanes mounted on the disc was a modified design of this contactor. Stimulus-response experiments were conducted in the contactor to understand liquid mixing behavior under different operating conditions. The recycle stream was also used in the operation of the contactor. Experiments were conducted for different number of discs, rotational speeds and recycle ratios. The disc design and recycle ratio had marked influence on the mixing behavior. An increase in disc rotation and recycle ratio produced a well-mixed flow behavior. Moreover, the surface area available in the RPDC was about 4 times more than the surface area available in a standard rotating biological contactor (RBC) operating at similar conditions. A mathematical model was developed for the flow behavior under recycle and a good agreement was found between the model and experimental results.
Notations
- C
Tracer outlet concentration, mg/l
- Co
Initial tracer concentration, mg/l
- Cm
Tracer concentration at the inlet to first stage, mg/l
- Ce
Tracer concentration at the exit of cascade, mg/l
- Cn
Tracer concentration from nth stage, mg/l
The distribution function for a residence time
- n
Number of stages given by the model.
- N
Number of discs.
- R
Recycle ratio
- RMSE
Root mean square error
- SS
Stainless steel
- t
Time, h
- V1
Total volume of liquid hold, l
- V
Volume of each stage in the cascade, l
- V0
Volume of mixing compartment at inlet, l
- Ve
Volume of splitting compartment at outlet, l
- w
Mass of tracer injected as pulse, mg
- X
Conductivity of tracer, µS/cm
- ʋo
Volumetric flow rate of fresh feed, l/h
- ʋr
Volumetric flow rate of recycle feed, l/h
- ʋm
Volumetric flow rate of mixed feed, l/h
- ʋe
Volumetric flow rate of leaving, l/h
- ω
Rotational speed of discs, rpm
- ɸ
Constant having the dimesions of mass concentration
Ratio of upper region stage volume to the feed flow rate, V/ʋ0
Ratio of stage volume to the feed flow rate, V0/ʋ0
Dimensionless time,
Mean residence time of exit age distribution, min−1.
- α
Fraction of upper mixing volume in each stage in the model.
- β
Fraction of cross flow between upper and lower mixing volumes in each stage in the model.
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Supplementary Material
The online version of this article offers supplementary material (DOI:https://doi.org/10.1515/ijcre-2019-0161).
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Articles in the same Issue
- Efficient Synthesis of Diethyl Carbonate by Mg, Zn Promoted Hydroxyapatite via Transesterification Reaction
- Residence Time Distribution Studies in a Modified Rotating Packed Disc Contactor: Mathematical Modeling and Validation
- Enhancement of Cu(II) adsorption on activated carbons by non-thermal plasma modification in O2, N2 and O2/N2 atmospheres
- Enhancement of the performance of a static mixer by combining the converging/diverging tube shapes and the baffling techniques
- Evaluating hydrodynamics in a bioreactor with liquid phase dispersion in the gas phase
- Optimization of multiple parameters of coking wastewater (CWW): catalytic thermolysis (CT) at high pressure reactor (HPR)
- Experimental investigation of start-up dynamics for various heating effects in batch reactive distillation to produce methyl acetate
- Bisphenol S adsorption with activated carbon prepared from corncob: optimization using response surface methodology
- The electrochemical degradation of the metronidazole (MNZ) antibiotic using electrochemical oxidation on a stainless steel316 coated with beta lead oxide (SS316/β-PbO2) anode
- Synthesis of cymene in flow reactor over rare earth metal modified zeolite catalyst
