scholarly journals Statistical Analysis of the Mathematical Model of Entropy Generation of Magnetized Nanofluid

Inventions ◽  
2019 ◽  
Vol 4 (2) ◽  
pp. 32 ◽  
Author(s):  
Munawwar Ali Abbas ◽  
Ibrahim Hussain
Keyword(s):  
Mathematical Model ◽  
Reynolds Number ◽  
Statistical Analysis ◽  
Entropy Generation ◽  
Concentration Profile ◽  
Perturbation Technique ◽  
Governing Equations ◽  
Friction Forces ◽  
Long Wavelength ◽  
The Mathematical Model

This investigation introduces a mathematical model of entropy generation for Magnetohydrodynamic (MHD) peristaltic wave of nanofluid. The governing equations have been created by the supposition of low Reynolds number and long wavelength estimation. The scientific arrangement has been procured with the help of perturbation technique. The concentration profile, temperature profile, pressure distribution and friction forces are shown graphically for some important parameters. Further, the eventual outcomes of connection between the entropy generation and some various parameters have been plotted by means of correlation and regression. It is fundamental to find the affectability of each parameter on entropy generation.

scholarly journals Effect of Ventricular Elasticity Due to Congenital Hydrocephalus

Symmetry ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 2087
Author(s):  
Hemalatha Balasundaram ◽  
Senthamilselvi Sathiamoorthy ◽  
Shyam Sundar Santra ◽  
Rifaqat Ali ◽  
Vediyappan Govindan ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Cerebrospinal Fluid ◽  
Perturbation Technique ◽  
Current Model ◽  
Governing Equations ◽  
Symmetric Flow ◽  
Cerebrospinal Fluid Flow ◽  
Flow Transport ◽  
Brain Biomechanics ◽  
The Mathematical Model

Cerebrospinal fluid (CSF) is a symmetric flow transport that surrounds brain and central nervous system (CNS). Congenital hydrocephalusis is an asymmetric and unusual cerebrospinal fluid flow during fetal development. This dumping impact enhances the elasticity over the ventricle wall. Henceforth, compression change influences the force of brain tissues. This paper presents a mathematical model to establish the effects of ventricular elasticity through a porous channel. The current model is good enough for immediate use by a neurosurgeon. The mathematical model is likely to be a powerful tool for the better treatment of hydrocephalus and other brain biomechanics. The non-linear dimensionless governing equations are solved using a perturbation technique, and the outcome is portrayed graphically with the aid of MATLAB.

scholarly journals Assessment of Steady and Unsteady Friction Models in the Draining Processes of Hydraulic Installations

Water ◽  
2021 ◽  
Vol 13 (14) ◽  
pp. 1888
Author(s):  
Óscar E. Coronado-Hernández ◽  
Ivan Derpich ◽  
Vicente S. Fuertes-Miquel ◽  
Jairo R. Coronado-Hernández ◽  
Gustavo Gatica
Keyword(s):  
Mathematical Model ◽  
Turbulent Flow ◽  
Water Velocity ◽  
Experimental Facility ◽  
Governing Equations ◽  
Pressure Oscillations ◽  
Air Pocket ◽  
Friction Models ◽  
The Mathematical Model

The study of draining processes without admitting air has been conducted using only steady friction formulations in the implementation of governing equations. However, this hydraulic event involves transitions from laminar to turbulent flow, and vice versa, because of the changes in water velocity. In this sense, this research improves the current mathematical model considering unsteady friction models. An experimental facility composed by a 4.36 m long methacrylate pipe was configured, and measurements of air pocket pressure oscillations were recorded. The mathematical model was performed using steady and unsteady friction models. Comparisons between measured and computed air pocket pressure patterns indicated that unsteady friction models slightly improve the results compared to steady friction models.

Simulation and Optimization of Airframe Assembly Process

2018 ◽  
Author(s):  
Sergey Lupuleac ◽  
Nadezhda Zaitseva ◽  
Maria Stefanova ◽  
Sergey Berezin ◽  
Julia Shinder ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Statistical Analysis ◽  
Problem Solving ◽  
Contact Problem ◽  
Quality Measures ◽  
Assembly Process ◽  
Variation Analysis ◽  
Simulation And Optimization ◽  
The Mathematical Model ◽  
Variation Simulation

An approach for simulating the assembly process where compliant airframe parts are being joined by riveting is presented. The foundation of this approach is the mathematical model based on the reduction of the corresponding contact problem to a Quadratic Programming (QP) problem. The use of efficient QP algorithms enables mass contact problem solving on refined grids, which is needed for variation analysis and simulation as well as for the consequent assembly process optimization. To perform variation simulation, the initial gap between the parts is assumed to be stochastic and a cloud of such gaps is generated based on statistical analysis of the available measurements. The developed approach is illustrated with two examples, simulation of A350-900 wing-to-fuselage joining and optimization of A320 wing box assembly. New contact quality measures are discussed.

Nonlinear waves in compacting media

1986 ◽  
Vol 164 ◽  
pp. 429-448 ◽  
Author(s):  
Victor Barcilon ◽  
Frank M. Richter
Keyword(s):  
Mathematical Model ◽  
Solitary Waves ◽  
Nonlinear Waves ◽  
Nonlinear Interaction ◽  
Phase Speed ◽  
Governing Equations ◽  
One Dimensional ◽  
The Earth ◽  
Permanent Shape ◽  
The Mathematical Model

An investigation of the mathematical model of a compacting medium proposed by McKenzie (1984) for the purpose of understanding the migration and segregation of melts in the Earth is presented. The numerical observation that the governing equations admit solutions in the form of nonlinear one-dimensional waves of permanent shape is confirmed analytically. The properties of these solitary waves are presented, namely phase speed as a function of melt content, nonlinear interaction and conservation quantities. The information at hand suggests that these waves are not solitons.

Statistical Analysis of the Roundness Error Data

2012 ◽  
Vol 472-475 ◽  
pp. 869-874 ◽  
Author(s):  
Zhao Peng Dong ◽  
Li Ling Huang ◽  
Hai Ting Xie ◽  
Fu Gui Huang
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Statistical Analysis ◽  
Normal Distribution ◽  
Mathematical Knowledge ◽  
Measurement Data ◽  
Roundness Error ◽  
Main Emphasis ◽  
The Mathematical Model ◽  
Roundness Measurement

In order to simulate the actual roundness measurement accurately, must find the mathematical model of the actual roundness data, the paper’s main emphasis is doing statistical analysis by plenty of measurement data of roundness, using mathematical knowledge to prove that the actual characteristics of roundness parameters obey the normal distribution, and providing the basis for subsequent computer simulation in the future

scholarly journals Weak resonances of periodical nonlinear oscillations

2017 ◽  
Vol 58 ◽  
Author(s):  
Olga Lavcel-Budko ◽  
Aleksandras Krylovas
Keyword(s):  
Mathematical Model ◽  
Asymptotic Solution ◽  
Space Variable ◽  
Nonlinear Oscillations ◽  
Initial Conditions ◽  
Perturbation Technique ◽  
The Mathematical Model

The mathematical model of nonlinear oscillations of weightless string is analyzed. Coefficients of the mathematical model and initial conditions are periodical functions of the space variable. A multiscale perturbation technique and integrating along characteristics are used to construct asymptotic solution without secular members.

scholarly journals Validation of friction factor predictions in vertical slurry flows with coarse particles

2020 ◽  
Vol 68 (2) ◽  
pp. 119-127 ◽  
Author(s):  
Artur Bartosik
Keyword(s):  
Mathematical Model ◽  
Reynolds Number ◽  
Friction Factor ◽  
Particle Diameter ◽  
Solid Particles ◽  
Coarse Particles ◽  
Carrier Liquid ◽  
Different Types ◽  
Slurry Flows ◽  
The Mathematical Model

AbstractThe paper presents validation of a mathematical model describing the friction factor by comparing the predicted and measured results in a broad range of solid concentrations and mean particle diameters. Three different types of solids, surrounded by water as a carrier liquid, namely Canasphere, PVC, and Sand were used with solids density from 1045 to 2650 kg/m3, and in the range of solid concentrations by volume from 0.10 to 0.45. All solid particles were narrowly sized with mean particle diameters between 1.5 and 3.4 mm. It is presented that the model predicts the friction factor fairly well. The paper demonstrates that solid particle diameter plays a crucial role for the friction factor in a vertical slurry flow with coarse solid particles. The mathematical model is discussed in reference to damping of turbulence in such flows. As the friction factor is below the friction for water it is concluded that it is possible that the effect of damping of turbulence is included in the KB function, which depends on the Reynolds number.

Reliability Prediction Methods and Application of Large Capacity Generating Units

2011 ◽  
Author(s):  
Jinyuan Shi ◽  
Gongwen Huang ◽  
Yong Wang ◽  
Yu Yang
Keyword(s):  
Mathematical Model ◽  
Statistical Analysis ◽  
Prediction Method ◽  
Reliability Prediction ◽  
Prediction Methods ◽  
Large Capacity ◽  
Availability Factor ◽  
Past Data ◽  
Repair Factor ◽  
The Mathematical Model

The mathematical model and the methodology of the reliability prediction of generating units are presented. Based on statistical analysis of operation reliability past data for generating units, statistical values of the repair factor and the mathematical model’s parameters of the repair factor are determined. According to plan repair outage days and the mathematical model for the repair factor of some generating unit, equivalent availability factor (EAF) of the generating unit can be predicted in future three years. The reliability prediction examples for sub-critical 300MW, supercritical 600MW and sub-critical 600MW fossil units are given together with reliability prediction results of 550MW hydro units and 984MW, 990MW nuclear units. The relative error’s range for equivalent availability factor prediction values of the generating units is between −1.48% and 2.69% which indicates that reliability prediction precision is higher. By using reliability prediction method, prediction values for the reliability indexes of generating units can be quantitatively calculated, which provides a basis for reliability objective management and optimization repair of generating units.

Inverse Dynamic Analysis of Spatial Manipulators with Elastic Legs

1988 ◽  
Vol 12 (2) ◽  
pp. 63-69
Author(s):  
K.H. Low ◽  
R.N. Dubey
Keyword(s):  
Mathematical Model ◽  
Hybrid System ◽  
Perturbation Technique ◽  
Flexible Manipulator ◽  
System Of Equations ◽  
Joint Motion ◽  
Inverse Dynamic ◽  
Inverse Dynamic Analysis ◽  
Deflection Theory ◽  
The Mathematical Model

This work presents a general formulation of flexible manipulator systems. The associated mathematical model results in a hybrid system of equations involving both ordinary and partial differential equations. The perturbation technique and model analysis have been used for the solution. In addition to the lineal deflection theory, an unperturbed joint-motion assumption has then been employed in order to further simplify the mathematical model. Finally, an inverse dynamic problem is solved using the proposed methodology.

Fractional Order Thermoelastic Waves of Cylindrical Gold Nano-Beam

2013 ◽  
Author(s):  
Hamdy M. Youssef ◽  
Khaled A. Elsibai ◽  
Alaa A. El-Bary
Keyword(s):  
Mathematical Model ◽  
Fractional Order ◽  
Thermal Load ◽  
Laplace Transforms ◽  
Thermal Waves ◽  
Governing Equations ◽  
Elastic Parameters ◽  
The Impact ◽  
The Mathematical Model ◽  
Thermoelastic Waves

In this work, a mathematical model of cylindrical nano-beam with constant elastic parameters with fractional order heat conduction will be constructed. The governing equations of the mathematical model will be taken when the beam is quiescent first. Laplace transforms techniques will be used to get the general solution for any set of boundary conditions. The solution will be obtained for a certain model when the beam is subjected to thermal load. Inversion of Laplace transforms will be obtained numerically, and the results will be presented graphically with some comparisons to study the impact of thermal load and the effect of the fractional order parameter on the speed of progress of mechanical and thermal waves through the beam.

Sign in / Sign up

Export Citation Format

Share Document