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The RTD and MRT are parameters that are extremely pertinent to the operation of chemicalreactors, influencing both the throughput and the quality of the product.The concept of the RTD is fundamental to any engineering reactor <strong>de</strong>sign. The real timeexperimental RTD tracing is simple and reliable; it provi<strong>de</strong>s various important hydrodynamicparameters. From a well-conducted tracer experiment, it is expected to obtain the RTD of the tracedmaterial in a system. Accurate experimental RTD curve is crucial for system analysis or mo<strong>de</strong>ling.2.2. RESIDENCE TIME DISTRIBUTION DATA TREATMENTThe analysis of the resi<strong>de</strong>nce time distribution (RTD) data <strong>de</strong>pends upon the specific aim forwhich the radiotracer experiment has been carried out. The simples RTD data treatment is thecalculation of moments. Moments are used to characterize the RTD functions in terms of statisticalparameters such as MRT and variation (σ 2 ). The moments are <strong>de</strong>fined as:where, i = 0, 1, 2, 3, ....MRT is equal to the first moment:Mi=∞∫0tiE() tdt∞∫0() tM1= t = tE dtThe spread of the RTD curve is characterized by the variance (σ2):2σ = M2− M21=∞2∫ ( t − t ) E( t)0dt∞∫02where M2= t E()t dt is the second moment.If N reactors are connected in series then MRT and variance of the casca<strong>de</strong> can be obtainedfrom the following relations:t = t + t + t + ... +casca<strong>de</strong> 1 2 3t N22σcasca<strong>de</strong>= σ + σ + σ + ... + σN21For a fluid flowing in a system of volume V with constant flow rate Q, the theoretical MRT (τ)of the fluid is <strong>de</strong>fined as:22τ = V/Q232.3. RESIDENCE TIME DISTRIBUTION MODELINGMo<strong>de</strong>ling a flow from RTD experimental data means to represent the experimental curve by aknown theoretical function. Flow mo<strong>de</strong>l is the quantitative <strong>de</strong>scription of hydrodynamic characteristicsof the transported material. The mo<strong>de</strong>l helps to un<strong>de</strong>rstanding of a process and its prediction(simulation) for different conditions. Mo<strong>de</strong>ling of experimental RTD curve with theoretical functionsof different flow patterns is performed using different software. The arrangements of basic flowelements are used to provi<strong>de</strong> a proper mo<strong>de</strong>l that gives a response i<strong>de</strong>ntical or close to the signal from15

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