Experimental Strategy for Fractional Factorial and Central Composite Rotational Designs

2014 ◽  
pp. 132-213
1981 ◽  
Vol 103 (2) ◽  
pp. 294-307
Author(s):  
C. E. Lowell ◽  
S. M. Sidik ◽  
D. L. Deadmore

The effects of potential impurities, such as Na, K, Mg, Ca, and Cl, in coal-derived liquid fuels on accelerated corrosion of IN-100, U-700, IN-792, and Mar M-509 were investigated using a Mach 0.3 burner rig for times to 200 hr in 1 hr cycles. These impurities were injected in combination as aqueous solutions into the combustor. Other variables were time, temperature, and fuel-to-air ratio. The experimental matrix was a central composite fractional factorial design divided into blocks to allow modification of the design as data was gathered. The extent of corrosion was determined by metal consumption, τ.


2004 ◽  
Vol 50 (12) ◽  
pp. 1033-1040 ◽  
Author(s):  
Keisuke Ikehata ◽  
Michael A Pickard ◽  
Ian D Buchanan ◽  
Daniel W Smith

Optimum culture conditions for the batch production of extracellular peroxidase by Coprinus cinereus UAMH 4103 and Coprinus sp. UAMH 10067 were explored using 2 statistical experimental designs, including 2-level, 7-factor fractional factorial design and 2-factor central composite design. Of the 7 factors examined in the screening study, the concentrations of carbon (glucose) and nitrogen (peptone or casitone) sources showed significant effects on the peroxidase production by Coprinus sp. UAMH 10067. The optimum glucose and peptone concentrations were determined as 2.7% and 0.8% for Coprinus sp. UAMH 10067, and 2.9% and 1.4% for C. cinereus UAMH 4103, respectively. Under the optimized culture condition the maximum peroxidase activity achieved in this study was 34.5 U·mL–1 for Coprinus sp. UAMH 10067 and 68.0 U·mL–1 for C. cinereus UAMH 4103, more than 2-fold higher than the results of previous studies.Key words: Coprinus peroxidase, central composite design, fractional factorial design, production optimization, response surface.


2014 ◽  
Vol 97 (1) ◽  
pp. 3-11 ◽  
Author(s):  
Heshmatollah Ebrahimi-Najafabadi ◽  
Riccardo Leardi ◽  
Mehdi Jalali-Heravi

Abstract This paper reviews the main concepts of experimental design applicable to the optimization of analytical chemistry techniques. The critical steps and tools for screening, including Plackett-Burman, factorial and fractional factorial designs, and response surface methodology such as central composite, Box-Behnken, and Doehlert designs, are discussed. Some useful routines are also presented for performing the procedures.


1980 ◽  
Author(s):  
C. E. Lowell ◽  
S. M. Sidik ◽  
D. L. Deadmore

The effects of potential impurities, such as Na, K, Mg, Ca, and Cl, in coal-derived liquid fuels on accelerated corrosion of IN-100, U-700, IN-792, and Mar M-509 were investigated using a Mach 0.3 burner rig for times to 200 hours in one hour cycles. These impurities were injected in combination as aqueous solutions into the combustor. Other variables were time, temperature, and fuel-to-air ratio. The experimental matrix was a central composite fractional factorial design divided into blocks to allow modification of the design as data was gathered. The extent of corrosion was determined by metal consumption, τ.


2021 ◽  
Vol 12 (1) ◽  
pp. 280
Author(s):  
Jagdeesh Kumar ◽  
Himanshu Joshi ◽  
Sandeep K. Malyan

Heavy metal contamination in water is a major health concern, directly related to rapid growth in industrialization, urbanization, and modernization in agriculture. Keeping this in view, the present study has attempted to develop models for the process optimization of nanofiltration (NF) membrane and electrocoagulation (EC) processes for the removal of copper, nickel, and zinc from an aqueous solution, employing the response surface methodology (RSM). The variable factors were feed concentration, temperature, pH, and pressure for the NF membrane process; and time, solution pH, feed concentration, and current for the EC process, respectively. The central composite design (CCD), the most commonly used fractional factorial design, was employed to plan the experiments. RSM models were statistically analyzed using analysis of variance (ANOVA). For the NF membrane, the rejection of Zn, Ni, and Cu was observed as 98.64%, 90.54%, and 99.79% respectively; while the removal of these through the EC process was observed as 99.81%, 99.99%, and 99.98%, respectively. The above findings and a comparison with the conventional precipitation and adsorption processes apparently indicate an advantage in employing the NF and EC processes. Further, between the two, the EC process emerged as more efficient than the NF process for the removal of the studied metals.


Author(s):  
SF Wang ◽  
JH Zhang ◽  
ZG Liu ◽  
XW Zhang ◽  
J Hong ◽  
...  

Riveted joints are extensively adopted in designing aircraft structures. Riveting implies a squeezing process of the rivet with large plastic deformations to form the driven rivet head. The driven rivet head dimensions (height H, diameter D) depend on riveting force ( X1), rivet length and diameter tolerance ( X2 and X3), as well as rivet hole tolerance ( X4). Incorrect selection in these parameters could induce the excessive stress concentration that results in initial crack and also results in improper rivet head deformation leading to loose rivet. The present research is conducted on a MS2047AD6-6 rivet and 2.286 mm thick aluminum alloy sheets and mainly focuses on the design of riveting parameters X1, X2, X3, and X4 using the proposed three-step statistical experiment designs including fractional factorial design, steepest ascent design, and central composite design while satisfying the quality requirements for driven rivet head dimensions ( H, D) mentioned in Standard Aircraft Handbook. Fractional factorial design is used to evaluate the impact of riveting parameters X1, X2, X3, and X4 on H and D. Based on the effective ranges of the significant riveting parameters obtained from steepest ascent design, a five-level central composite design is proposed to derive the statistical relations between H, D and the significant riveting parameters, and the statistical models are used to find the feasible region resulting from the combination of the significant riveting parameters while satisfying the quality requirements for H and D. Finally, the feasible ranges of X1, X2, X3, and X4, namely [16,470 N 22,730 N], [−0.1491 mm 0.3891 mm], [−0.0466 mm 0.1216 mm], and [−0.0375 mm 0.2125 mm], are determined from the perspective of adjustable accuracy of X1 and that of the manufacturability for X2, X3, and X4. It implies that any combination of X1, X2, X3, and X4 that falls within this feasible region can result in a good quality riveted joins, namely that the quality requirements for the driven riveting head dimension ( H, D) can be satisfied.


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