A Mathematical Model for Predicting the Extrusion Efficiency of a Vertical Column Shaft Palm Oil Extrusion Machine using Dimensional Analysis

2016 ◽  
Vol 6 (1) ◽  
pp. 001-008
Author(s):  
Victor Chijioke Okafor ◽  
◽  
Princewill Kelechi Ejesu ◽  
Dennis Chukwunonye Chinweuba ◽  
Reginald Nnaemeka Nwakuba
Keyword(s):  
Mathematical Model ◽  
Dimensional Analysis ◽  
Palm Oil ◽  
Vertical Column

FORMULATION OF MATHEMATICAL MODEL FOR MAINTENANCE COST OF A STONE CRUSHING PLANT BASED ON DIMENSIONAL ANALYSIS AND MULTIPLE REGRESSION

2013 ◽  
pp. 1-6
Author(s):  
PROF. ANJALI J. JOSHI ◽  
DR. JAYANT P. MODAK
Keyword(s):  
Mathematical Model ◽  
Multiple Regression ◽  
Dimensional Analysis ◽  
Least Square Method ◽  
Least Square ◽  
Maintenance Cost ◽  
Design Data ◽  
Static And Dynamic Analysis ◽  
Dimensionless Equation ◽  
Crushing Plant

This paper presents the approach for the mathematical modeling of maintenance cost for the set up of new Stone Crushing Plant based on the dimensional analysis and multiple regression. Presented maintenance cost mathematical model is derived based on the generated design data. Design data is generated from actual design of all stone crushing plants followed by static and dynamic analysis. Estimation of design data is carried out based on the assumed plant layout. Dimensional analysis is used to make the independent and dependent variables dimensionless and to get dimensionless equation. Later, multiple regression analysis is applied to this dimensionless equation to obtain the index values based on the least square method. The mathematical model of maintenance cost is formulated using these obtained index values. Finally, the formulated model is evaluated on the basis of correlation and root mean square error between the computed values by model and the estimated values.

Corner Reproduction Accuracy in Electro-Chemical Drilling (ECD) of Blind Holes

1984 ◽  
Vol 106 (1) ◽  
pp. 55-61 ◽  
Author(s):  
V. K. Jain ◽  
Vinod Kumar Jain ◽  
P. C. Pandey
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Regression Analysis ◽  
Dimensional Analysis ◽  
Analysis Of Variance ◽  
Process Parameters ◽  
Important Process ◽  
Electrochemical Drilling ◽  
Experimental Findings ◽  
Shape And Size

Little information is available about the corner shape and size produced in electrochemical drilling of blind holes. On this account prediction of the complete anode shape analytically, in ECD, is not possible. This paper reports the experimental findings regarding the shape and size of the corners copied, in the anode during electrochemical drilling of blind holes using a tool of specified geometry. An equation evolved by regression analysis of experimental data has been suggested for this purpose. With a view to improve results, an equation based on dimensional analysis has also been presented. Finally, a comprehensive mathematical model accounting for the independent, higher order, and the interaction effects of different important process parameters on the yield (anode radius) has been proposed and its adequacy has been tested by the analysis of variance and accuracy against experimental data.

scholarly journals Synthesis of Sustainable Circular Economy in Palm Oil Industry Using Graph-Theoretic Method

2020 ◽  
Vol 12 (19) ◽  
pp. 8081 ◽  
Author(s):  
Jason Yi Juang Yeo ◽  
Bing Shen How ◽  
Sin Yong Teng ◽  
Wei Dong Leong ◽  
Wendy Pei Qin Ng ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Sensitivity Analysis ◽  
Palm Oil ◽  
Circular Economy ◽  
Oil Industry ◽  
Economic Feasibility ◽  
Economy Model ◽  
Graph Theoretic ◽  
Oil Palm Biomass ◽  
Industry Sectors

Huge generation of oil palm biomass has stimulated the development of biorefineries for synthesis of bioproducts. By targeting the palm oil industry and the biorefineries as the consumers of these products, a sustainable circular economy can be created by recycling the biomass wastes to the said consumers. To evaluate the techno-economic feasibility of the sustainable circular economy, a mathematical model demonstrating the biomass network with consideration of recycling is developed in this work. Besides, Process Graph (P-graph) is incorporated to perform the combinatorial optimization of the biomass network, which targets three common resources: fertilizer, steam, and electricity for regeneration and recycling. Although the result shows that the linear economy model is preferred in terms of profitability, the circular economy model shows potential in reducing 39.292% of the imported steam and 13.469% of the imported electricity, while being 0.642% lower in terms of the gross profit. Three scenarios are then proposed to identify the potential bottleneck that can hinder the implementation of the sustainable circular economy approach, with the aid of sensitivity analysis. This work is expected to benefit the biomass-based industry sectors and the policymakers on future development and transition to the sustainable circular economy.

Model Development for a Composite Core-Pulling Mechanism

2014 ◽  
Vol 494-495 ◽  
pp. 387-390 ◽  
Author(s):  
Yan Fang Yin ◽  
Hua Shun Hu
Keyword(s):  
Mathematical Model ◽  
Mechanical System ◽  
Dimensional Analysis ◽  
Simple Structure ◽  
Simulation Analysis ◽  
Model Development ◽  
Plastic Part ◽  
One Dimensional ◽  
Safety And Reliability ◽  
Plastic Parts

The main purpose of this work was to develop a mathematical model and computer programs for design analysis in composite core-pulling mechanism. The injection mould with slanted guide pillar for two-step core-pulling from the side of the product effects significantly the quality and efficiency of plastic part. The study is a one-dimensional analysis of secondaryejector mechanism, based on a forward marching technique of solution for the simple structure and high safety and reliability. Using the simulation analysis of mechanical system based on Pro/E, the mechanism can solve the problem that plastic parts are difficult to side core pulling in different directions by the use of bevel pillar.

scholarly journals FORMULATION OF MATHEMATICAL MODEL FOR PRODUCTION TURNOVER OF BIODIESEL PLANT BASED ON DIMENSIONAL ANALYSIS AND MULTIPLE REGRESSION

2012 ◽  
pp. 268-276
Author(s):  
ASHWIN S. CHATPALLIWAR ◽  
DR. VISHWAS S. DESHPANDE ◽  
DR. JAYANT P. MODAK ◽  
DR. NILESHSINGH V. THAKUR
Keyword(s):  
Mathematical Model ◽  
Multiple Regression ◽  
Dimensional Analysis ◽  
Least Square Method ◽  
Least Square ◽  
Design Data ◽  
Dimensionless Equation ◽  
Set Up ◽  
The Mathematical Model ◽  
Data Design

This paper presents the approach for the mathematical modeling of production turnover for the set up of new Biodiesel plant based on the dimensional analysis and multiple regression. Presented production turnover mathematical model is derived based on the generated design data. Design data is generated from the estimated design data. Estimation of design data is carried out based on the assumed plant layouts of different capacities. Dimensional analysis is used to make the independent and dependent variables dimensionless and to get dimensionless equation. Later, multiple regression analysis is applied to this dimensionless equation to obtain the index values based on the least square method. The mathematical model of production turnover is formulated using these obtained index values. Finally, the formulated model is evaluated on the basis of correlation and root mean square error between the computed values by model and the estimated values.

Modeling the tool wear rate in powder mixed electro-discharge machining of titanium alloys using dimensional analysis of cryogenically treated electrodes and workpiece

2016 ◽  
Vol 231 (2) ◽  
pp. 271-282 ◽  
Author(s):  
Sanjeev Kumar ◽  
Rupinder Singh ◽  
Ajay Batish ◽  
TP Singh
Keyword(s):  
Mathematical Model ◽  
Wear Rate ◽  
Tool Wear ◽  
Titanium Alloys ◽  
Dimensional Analysis ◽  
Electric Discharge ◽  
Cryogenic Treatment ◽  
Tool Wear Rate ◽  
Electric Discharge Machining ◽  
X Ray

Three grades of titanium alloy TITAN 15, TITAN 21, and TITAN 31 were machined using powder mixed electric discharge machining to study the effect of cryogenic treatment and its effect on tool wear rate (TWR). Thereafter, an attempt has been made to develop a mathematical model for predicting TWR using dimensional analysis using the outcome of the Taguchi model and thermo-physical properties of tool materials. The model shows the significant role of thermal conductivity on TWR in electric discharge machining of titanium alloys. The predicted values from the developed mathematical model were validated and were found to be in good agreement with the experimental results. Microscopic investigations on selected tool samples were performed using scanning electron microscope, energy-dispersive X-ray spectrometer, and X-ray diffraction. The results showed transfer of material on the tool surface from the workpiece, dielectric, and the powder.

Sign in / Sign up

Export Citation Format

Share Document