Application of Response Surface Methodology in the Optimization of Magneto-Hydrodynamic Flow Around and Through a Porous Circular Cylinder

2018 ◽  
Vol 34 (5) ◽  
pp. 695-710 ◽  
Author(s):  
S. M. Vahedi ◽  
A. Zare Ghadi ◽  
M. S. Valipour
Keyword(s):  
Response Surface Methodology ◽  
Nusselt Number ◽  
Drag Coefficient ◽  
Response Surface ◽  
Mhd Flow ◽  
Reynolds Numbers ◽  
Darcy Number ◽  
Optimization Process ◽  
Staggered Grid ◽  
Polar Coordinate

AbstractIn this study MHD flow around and through porous cylinder is numerically investigated. The governing equations are developed in polar coordinate arrangement in both porous and non-porous media on the basis of single-domain technique. The equations are solved numerically based on finite volume method over staggered grid structure. Nusselt number and drag coefficient are selected as two key parameters describing performance of this system. By applying response surface methodology the sensitivity of these parameters to main factors of the problem, including Stuart number, Darcy number and Reynolds number are quantified. RSM is also utilized to perform an optimization process to find the best condition in which the lowest drag force and highest heat transfer rate occur simultaneously. The CFD analysis is carried out for variant Reynolds numbers (10 ≤ Re ≤ 40), Darcy numbers (10-6 ≤ Da ≤ 10-2) and Stuart numbers (2 ≤ N ≤ 10). Streamlines and isotherms are presented to indicate the impacts of such parameters on heat and fluid flow. It can be seen that, Drag coefficient and Nusselt number increase by augmenting magnetic field strength. Beside, Darcy number and Reynolds numbers have a direct and inverse effect on Nuave and Cd, respectively. Results of optimization process show that Nuave and Cd are more sensitive to Reynolds and Stuart numbers, respectively, while they less sensitive to Darcy number. Moreover, it is revealed that the optimum condition occurs at Da = 10-2, Re = 38.1 and N = 4.49.

scholarly journals Multi-objective Optimization to Increase Nusselt Number and Reduce Friction Coefficient of Water/Carbon Nanotubes via NSGA II using Response Surface Methodology

2020 ◽  
Vol 3 (1) ◽  
pp. 1-14
Author(s):  
Amin Moslemi Petrudi ◽  
Pourya Fathi ◽  
Masoud Rahmani
Keyword(s):  
Response Surface Methodology ◽  
Nusselt Number ◽  
Friction Coefficient ◽  
Response Surface ◽  
Pareto Front ◽  
Volume Fraction ◽  
Reynolds Numbers ◽  
Solid Particles ◽  
Nsga Ii ◽  
Engineering Sciences

Heat transfer science is one of the most important and most applied engineering sciences, with the importance of energy management and energy conservation being doubled. Because of their properties, nanofluids have been widely used in various industries, making them particularly important to study. In this paper, the Nusselt number and coefficient of friction with volume fraction ranging from 0 to 0.1 at approximately Reynolds numbers of 200 to 5000 are studied experimentally. Higher thermal conductivity, better stability, lower pressure drop was observed using nanoparticles of solid particles. NSGA II algorithm was used to maximize Nusselt number and minimum friction coefficient by changing temperature and volume fraction of nanoparticles. To obtain Nusselt number and friction coefficient based on the temperature and volume fraction of the nanoparticles, the experimental data response surface methodology was used and with increasing Reynolds number, the Nusselt number increased and the friction coefficient decreased. In order to evaluate the objective functions in the optimization, the response surface methodology is attached to the optimization algorithm. At the end, the Pareto Front and its corresponding optimal points are presented.

scholarly journals Enzymatic Phorbol Esters Degradation using the Germinated Jatropha Curcas Seed Lipase as Biocatalyst: Optimization Process Conditions by Response Surface Methodology

2016 ◽  
Vol 11 (3) ◽  
pp. 346 ◽  
Author(s):  
Avita Kusuma Wardhani ◽  
Chusnul Hidayat ◽  
Pudji Hastuti
Keyword(s):  
Response Surface Methodology ◽  
Reaction Time ◽  
Response Surface ◽  
Jatropha Curcas ◽  
Phorbol Esters ◽  
Optimization Process ◽  
Process Conditions ◽  
Seed Cake ◽  
Heat Stable ◽  
Jatropha Seeds

<p>Utilization of Jatropha curcas seed cake is limited by the presence of phorbol esters (PE), which are the main toxic compound and heat stable. The objective of this research was to optimize the reaction conditions of the enzymatic PE degradation of the defatted Jatropha curcas seed cake (DJSC) using the acetone-dried lipase from the germinated Jatropha curcas seeds as a biocatalyst. Response Surface Methodology (RSM) using three-factors-three-levels Box-Behnken design was used to evaluate the effects of the reaction time, the ratio of buffer volume to DJSC, and the ratio of enzyme to DJSC on PE degradation. The results showed that the optimum conditions of PE degradation were 29.33 h, 51.11 : 6 (mL/g), and 30.10 : 5 (U/g cake) for the reaction time, the ratio of buffer volume to DJSC, and the ratio of enzyme to DJSC, respectively. The predicted degradation of PE was 98.96% and not significantly different with the validated data of PE degradation. PE content was 0.035 mg/g, in which it was lower than PE in non-toxic Jatropha seeds. The results indicated that enzymatic degradation of PE might be a promising method for degradation of PE.  Copyright © 2016 BCREC GROUP. All rights reserved</p><p><em>Received: 22<sup>nd</sup> December 2015; Revised: 1<sup>st</sup> April 2016; Accepted: 14<sup>th</sup> April 2016</em></p><p><strong>How to Cite:</strong> Wardhani, A.K., Hidayat, C., Hastuti, P. (2016). Enzymatic Phorbol Esters Degradation using the Germinated Jatropha Curcas Seed Lipase as Biocatalyst: Optimization Process Conditions by Response Surface Methodology. <em>Bulletin of Chemical Reaction Engineering &amp; Catalysis</em>, 11 (3): 346-353 (doi:10.9767/bcrec.11.3.574.346-353)</p><p><strong>Permalink/DOI:</strong> <a href="http://doi.org/10.9767/bcrec.11.3.574.346-353">http://doi.org/10.9767/bcrec.11.3.574.346-353</a></p>

UV/H2O2 Process for Removal of Total Organic Carbon from Refinery Effluent: Screening of Influence Factors Using Response Surface Methodology

2014 ◽  
Vol 917 ◽  
pp. 168-177 ◽  
Author(s):  
Sabtanti Harimurti ◽  
Anisa Ur Rahmah ◽  
Abdul Aziz Omar ◽  
Thanapalan Murugesan
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Influence Factors ◽  
Process Condition ◽  
Degradation Process ◽  
Optimization Process ◽  
Fenton Reagent ◽  
High Concentration ◽  
Refinery Effluent ◽  
Wide Range

Effluent containing high concentration of alkanolamine from a sweetening process of natural gas plant is commonly generated during maintaining, cleaning and scheduled inspection of the absorption and desorption column. The effluent is not readily biodegradable and cannot be treated in the conventional biological treatment. Advanced oxidation processes (AOPs) is a promising method for the treatment of recalcitrant organic contaminant. Most methods used are Fenton reagent, UV/Ozone and UV/H2O2. Based on the advantages of the UV/H2O2such as no formation of sludge during the treatment, high ability in production of hydroxyl radical and applicable in the wide range of pH, the UV/H2O2has been chosen to treat the effluent from refinery plant, which has high concentration of methyldietnaolamine (MDEA). The factors influencing in the degradation of refinery wastewater that contain MDEA were screened using response surface methodology (RSM). It was found that degradation process of the refinery effluent was highly dependent on oxidant concentration (H2O2) and initial pH. Temperature of oxidation process was found oppositely. Since the temperature gave insignificant effect on the TOC removal process, hence the independent factor temperature will be eliminated during the further optimization process condition of degradation. Thus, the optimization process condition of degradation will be more effective and simpler.

scholarly journals Trans-Esterification Optimization Process for Biodiesel Production from Palm Kernel Oil using Response Surface Methodology

2021 ◽  
Vol 6 (2) ◽  
pp. 7-15
Author(s):  
T.O. Rabiu ◽  
N.A. Folami ◽  
N.A. Badiru ◽  
N.A. Kinghsley ◽  
B.T. Dare ◽  
...  
Keyword(s):  
Response Surface Methodology ◽  
Reaction Time ◽  
Sodium Hydroxide ◽  
Response Surface ◽  
Catalyst Concentration ◽  
Palm Kernel ◽  
Biodiesel Production ◽  
Optimization Process ◽  
Palm Kernel Oil ◽  
Kernel Oil

The ever-growing concern for the safety of lives and the environment as well as the depletion in fossil fuels reserves across the globe has led to the keen interests of many researchers in the field of renewable energy. This study was therefore undertaken to investigate the trans-esterification optimization process for biodiesel production from palm kernel using response surface methodology. The materials for the trans-esterification processes were palm kernel oil, Methanol and sodium hydroxide. The effects of reaction temperature (oC), catalyst concentration (wt%) and reaction time (min) on the yield were evaluated. The properties of the biodiesel produced showed that it met the ASTM standard for biodiesel. A quadratic polynomial model, Yield (%) = 78.60–3.12A–.62B + 0.00C -0.75AB – 3.50AC + 1.50BC + 2.82A2– 0.18B2 + 1.08C2, was developed that can be used to predict yield of biodiesel at any value of the different parameters investigated. The ANOVA for the model of the biodiesel yield obtained indicates that the models fit well in describing the relationship between the predictor (biodiesel yield) and the factors (methanol to oil ratio, catalyst concentration and reaction time). The optimal trans-esterification conditions were found to be 60°C for temperature, 60minutes for reaction time, 0.878w% of oil as Sodium hydroxide (catalyst) concentration and methanol/oil ratio of 1:6. At these optimal conditions, the biodiesel yield was fond to be 89.32% The generated biodiesel had high cetane number, better engine ignitability and poses lesser pollution problems than petroleum diesel.

scholarly journals Obtaining process of interpolymeric complexes from lactalbumin, xanthan gum and pectin

2014 ◽  
Vol 17 (3) ◽  
pp. 213-220 ◽  
Author(s):  
Virginia Coimbra Zuvanov ◽  
Edwin Elard Garcia-rojas ◽  
Clitor Júnior Fernandes de Souza ◽  
Eliana da Silva Gulão ◽  
Luciano José Barreto Pereira
Keyword(s):  
Experimental Data ◽  
Response Surface Methodology ◽  
Experimental Design ◽  
Response Surface ◽  
Xanthan Gum ◽  
Optimization Process ◽  
Coefficient Of Determination ◽  
Optimum Conditions ◽  
Independent Variables ◽  
Nacl Concentration

In this work, the optimization process of interpolymeric complexes formation between lactalbumin and the polysaccharides xanthan gum and pectin was studied in order to define the optimum conditions for the complexes formation. For the experimental design, response surface methodology (RSM) for three independent variables was used. The optimum conditions for the complexes formation between lactalbumin and xanthan gum were: pH 6.6, NaCl concentration of 0.6 mol/L and xanthan gum concentration 0.083% w/v. And for the complexes formed between pectin and lactalbumin the conditions were: pH 6.6, NaCl concentration of 0.25 mol/L and pectin concentration of 0.113% w/v. The best fitted model for the experimental data was that corresponding to the complex xanthan gum-lactalbumin, whose coefficient of determination (R²) was 0.97.

Heat and Fluid Flow Around a Sphere With Cylindrical Bore

2012 ◽  
Vol 134 (7) ◽  
Author(s):  
Andreas Richter ◽  
Petr A. Nikrityuk
Keyword(s):  
Nusselt Number ◽  
Fluid Flow ◽  
Flow Field ◽  
Drag Coefficient ◽  
Reynolds Numbers ◽  
Drag Forces ◽  
Cylindrical Bore ◽  
Heat Transfers ◽  
Heat And Fluid Flow ◽  
Flow Past A Sphere

This work is devoted to the numerical investigation of heat and fluid flow past a sphere with a centric, cylindrical bore. Such spherical rings are of interest in many technological processes. In chemical reactors, for example, spherical rings are used as a catalyst with an increased reacting surface. Motivated by this fact, we considered spherical rings with different bores and different orientations in flow regimes corresponding to Reynolds numbers from 10 up to 300. The results show a significant influence of the bore diameter on the symmetry and hence the steadiness of the flow field. The Nusselt number can be increased, which leads to a moderate rise in the drag coefficient. Thereby, the effect of the borehole depends on the Reynolds number, the bore diameter, and the angle of attack. For that reason, drag forces and total heat transfers do not simply follow the heat exchanging surface area. Based on the presented results, new correlations are given for both the drag coefficient and the Nusselt number; correlations which incorporate the bore geometry and the bore orientation in the flow field.

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