Parametric sensitivity analysis

COUPLED HEAT/MASS TRANSEER IN NONISOTHERMAL REACTORS 

TABLE 4-1 Summary of Parametric Sensitivity Results for Nonisothermal Plug-Flow Tiibular Reactors When the Feed Stream Enters at 340 K  

Numerical results are summarized in Table 4-1 for seven different values of the outer wall temperature. 

The reactor is rather well behaved when the outside waU temperature is 335 K, but thermal runaway occurs when Twau = 336 K. Hence, Twaii exhibits a critical value between 335 and 336 K because thermal runaway occurs when Twaii (rwaii)criticai- Thermal runaway can be prevented when Twau = 340 K if the surface-to-volume ratio of the reactor is increased by decreasing the tube radius R. This important design modification is accounted for by decreasing the time constant for heat transfer across the lateral surface. Numerical results are summarized in Table 4-2 for a single-pipe reactor with Tuaet = Rwaii = 340 K at nine different values of the heat transfer time constant. 

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Parametric sensitivity analysis showed that for nonreactive systems, the adsorption equilibrium assumption can be safely invoked for transient CO adsorption and desorption, and that intrapellet diffusion resistances have a strong influence on the time scale of the transients (they tend to slow down the responses). The latter observation has important implications in the analysis of transient adsorption and desorption over supported catalysts that is, the results of transient chemisorption studies should be viewed with caution, if the effects of intrapellet diffusion resistances are not properly accounted for. 

Caracotsios, M., Model Parametric Sensitivity Analysis and Nonlinear Parameter Estimation Theory and Applications, Ph. D. thesis. University of Wisconsin-Madison (1986). 

This example uses parametric sensitivity analysis to estimate the analytic formulas for all the derivatives dYi(tu 6)/d6j. Therefore, the array DEL is set to zero before GREGPLUS is called, and the IDIF value is read by GREGPLUS but not used. The settings of lOBS, NBLK, YTOL, and LISTS are the same as in Example C.4. 

Zhang H, Wong CF, Thacher T, Rabitz H. 1995. Parametric sensitivity analysis of avian pancreatic polypeptide (APP). Proteins Struct. Fund. Genet. 23 218... 

Complete conceptual design of plate-based reformer, water gas shift and preferential oxidation reactors and simulation models of each reactor using available catalyst kinetics. Begin optimization studies and parametric sensitivity analysis. 

Figure 6.19 A less conservative parametric sensitivity analysis for a nonisothermal PFR. [After P. Harriot, Chem. Eng., 65(10), 165, with permission of McGraw-Hill, Inc., New York, NY, (1961).]...

Hence, the parametric sensitivity analysis outlined in this section identifies critical values, or a range of critical values, for (1) the outside wall temperature, (2) the heat transfer time constant, (3) the flow rate ratio xj/, and (4) the radius ratio k, which delineates the boundary between well-behaved reactor performance and thermal runaway. Other parameters that exhibit critical values and... 

The singular value decomposition (SVD) method, and the similar principal component analysis method, are powerful computational tools for parametric sensitivity analysis of the collective effects of a group of model parameters on a group of simulated properties. The SVD method is based on an elegant theorem of linear algebra. The theorem states that one can represent an w X n matrix M by a product of three matrices ... 

Parametric Sensitivity Analysis of Avian Pancreatic Polypeptide (APP). 

In these cases, the method of parametric sensitivity analysis has received the broadest acceptance. In this method, often the calculation of time profiles of the derivatives of species concentrations is made by the values of rate constants in individual steps as the initial computing procedure [58,59]. Also, methods are applied to analysis the rates of individual steps and to separate the contributions of individual steps in the total change of the Gibbs free energy or entropy that enter into the overall chemical transformations [60]. 

ICim, H.M., Park, D., Ryu, D.W. and Song, W.K. 2012. Parametric sensitivity analysis of ground uplift above pressurized underground rock caverns. Engineering Geology 135-136 60-65. 

Pantazis, Y., Katsoulakis, M.A., Vlachos, D.G. Parametric sensitivity analysis for biochcanical reaction networks based on pathwise information theory. BMC Bioinform. 14, 311 (2013) Peng, Z., Dobrijevic, M., Hebrard, E., Carrasco, N., Pemot, P. Photochemical modeling of Titan atmosphere at the 10 percent uncertainty horizon . Faraday Discuss. 147, 137-153 (2010) Perger, T., Kovacs, T., Turmyi, T., Trevino, C. Determination of adsorptimi and desorption parameters from ignition temperature measurements in catalytic combustion systems. J. Phys. Chem. B 107, 2262-2274 (2003)... 

Perumal, T.M., Gunawan, R. pathPSA a dynamical pathway-based parametric sensitivity analysis. Ind. Eng. Chem. Res. 53, 9149-9157 (2014)... 

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