Stirring of a Liquid

Studies of the mixing effectiveness of stirring devices are quite numerous they generally analyze the effects produced by  

It has been very difficult to develop a general model able to describe the influence of all the different parameters on the mixing effectiveness [4.18-4.20]. However, many researchers have tried to develop models as complete as possible, among them a special mention has to be given to the research team who developed the first commercial program called Visimix 1999 [4.21, 4.22]. 

According to this topology, the flow in the apparatus is described by two circuits (the upper and the lower region), each of which contains a variable number of ideal mixed cells but meets in the mixing region (near the paddles). This region constitutes a cell with ideal mixing. 

We can expect the volume in the pumping region to depend on the dimensions of the stirrer paddle (diameter d, height of the pallet b) and on the dimensions of the tank  

The number of cells is chosen in the smaller region (this consideration is frequently used) then, n = n h 1 if the lower region is the smaller one, when the upper region is the smaller one we have na = n ja= 1. 

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The solution to the problem of the mechanical stirring of a liquid medium begins with the identification of the process components. This step is carried out using an identification particle... 

Chapter 4 is devoted to the description of stochastic mathematical modelling and the methods used to solve these models such as analytical, asymptotic or numerical methods. The evolution of processes is then analyzed by using different concepts, theories and methods. The concept of Markov chains or of complete connected chains, probability balance, the similarity between the Fokker-Plank-Kolmogorov equation and the property transport equation, and the stochastic differential equation systems are presented as the basic elements of stochastic process modelling. Mathematical models of the application of continuous and discrete polystochastic processes to chemical engineering processes are discussed. They include liquid and gas flow in a column with a mobile packed bed, mechanical stirring of a liquid in a tank, solid motion in a liquid fluidized bed, species movement and transfer in a porous media. Deep bed filtration and heat exchanger dynamics are also analyzed. 

Njdj is the stirrer capacity consumed for stirring of a liquid... 

A common operation in practical organic chemistry is for stirring, refluxing, and addition of a liquid from a dropping funnel to be carri on simultaneously. The most convenient apparatus for this purpose is a three-necked flask, fitted as in Fig. 11, 7, 11, a. If a three-necked flask is not available, the three-way adapter inserted into a bolt-head flask (Fig. 77, 7, 11, 6) may be used. A further simplification, suitable for elementary students, is to employ a two-way adapter as in Fig. 77, 7, 11, c the stirrer passes through a closely-fitting glass sleeve which is extended... 

If it is desired to carry out the combined operations of stirring, refluxing, and addition of a liquid in a stream of gas, the apparatus of Fig. 77, 7, 12, a may be used the side tube for the gas is sealed on to the separatory funnel. For the passage of a gas into a stirred liquid, the aperture carrying the modified separatory funnel may be fitted with the device shown in Fig. 77, 7, 12, 6 the glass rod inside the tube is held in position by a short length of heavy-wall rubber tubing and is employed to clear the lower end of the gas delivery tube, should it become blocked with solid reaction product. 

The SF-837 strain, namely Streptomyces mycarofaciens identified as ATCC No. 21454 was inoculated to 60 liters of a liquid culture medium containing 2.5% seccharified starch, 4% soluble vegetable protein, 0.3% potassium chloride and 0.3% calcium carbonate at pH 7.0, and then stir-cultured in a jar-fermenter at 28°C for 35 hours under aeration. The resulting culture was filtered directly and the filter cake comprising the mycelium cake was washed with dilute hydrochloric acid. 

Dichlorodibenzo- -dioxin. 2-Bromo-4-chlorophenol (31 grams, 0.15 mole) and solid potassium hydroxide (8.4 grams, 0.13 mole) were dissolved in methanol and evaporated to dryness under reduced pressure. The residue was mixed with 50 ml of bEEE, 0.5 ml of ethylene diacetate, and 200 mg of copper catalyst. The turbid mixture was stirred and heated at 200°C for 15 hours. Cooling produced a thick slurry which was transferred into the 500-ml reservoir of a liquid chromatographic column (1.5 X 25 cm) packed with acetate ion exchange resin (Bio-Rad, AG1-X2, 200-400 mesh). The product was eluted from the column with 3 liters of chloroform. After evaporation, the residue was heated at 170°C/2 mm for 14 hours in a 300-cc Nestor-Faust sublimer. The identity of the sublimed product (14 grams, 74% yield) was confirmed by mass spectrometry and x-ray diffraction. Product purity was estimated at 99- -% by GLC (electron capture detector). 

For a first-order process the time constant can be found from the defining differential equation as shown in Sec. 2.1.1.1. For the case of the aeration of a liquid, using a stirred tank, the following component balance equation applies... 

L Stowe, J Shaewitz. Hydrodynamics and mass transfer characteristics of a liquid/ liquid stirred cell. Chem Eng Commun 11 17, 1981. 

Ultrasonic irradiation of a liquid leads to the generation of cavitation phenomenon which comprised of unique reaction fields in addition to physical and mechanical effects the formation of micro-meter sized bubbles, formation of bubbles with high temperature and high pressure conditions, formation of shock waves, and strong micro-stirring effects are produced. Table 5.1 shows representative ultrasound techniques to synthesize inorganic and metal nanoparticles and nanostructured materials. 

The kinetics of a liquid-phase chemical reaction are investigated in a laboratory-scale continuous stirred-tank reactor. The stoichiometric equation for the reaction is A 2P and it is irreversible. The reactor is a single vessel which contains 3.25 x 10 3 m3 of liquid when it is filled just to the level of the outflow. In operation, the contents of the reactor are well stirred and uniform in composition. The concentration of the reactant A in the feed stream is 0.5 kmol/m3. Results of three steady-state runs are ... 

The objectives of liquid mixing in stirred tanks are to (i) make the liquid concentration as uniform as possible (ii) suspend the particles or cells in the liquid (iii) disperse the liquid droplets in another immiscible liquid, as in the case of a liquid-liquid extractor (iv) disperse gas as bubbles in a liquid in the case of aerated (gassed) stirred tanks and (v) transfer heat from or to a liquid in the tank, through the tank wall, or to the wall of coiled tube installed in the tank. 

For liquid surfactants, drug solubility can be approximated using a simple method, in which the drug is added to a Lxed amount of a liquid surfactant while stirring at room temperature until the solid... 

If we consider a stirred tank filled with a mass (M) of a liquid with a specific heat capacity (c p) and where no reaction takes place, a simplified heat balance can be written with only the heat accumulation and the heat exchange terms ... 

Few review articles have been published on microextraction procedures based on the use of a liquid-phase extractant.1314 One drawback of drop-based microextraction procedures is drop vulnerability this relates to its instability and potential dislodgement, which could be caused by sample complexity, a long extraction time, and a fast stirring speed. As a result, precision will often suffer significantly. 

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