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Volume 12
Issue 3
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Math. Comput. Appl., Volume 12, Issue 3 (December 2007) – 6 articles , Pages 125-179

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144 KiB  
Article
Mathematical Solution of the Flow Field over Glycocalyx Inside Vascular System
by Nurullah Arslan
Math. Comput. Appl. 2007, 12(3), 173-179; https://doi.org/10.3390/mca12030173 - 01 Dec 2007
Cited by 4 | Viewed by 1185
Abstract
Mathematical analysis of the the flow field over the glycocalyx located on the endothelial cells (EC) inside cardiovascular system was investigated. Two flow regions were considered. A core flow region which is located in the lumen of the vessel. The flow in this [...] Read more.
Mathematical analysis of the the flow field over the glycocalyx located on the endothelial cells (EC) inside cardiovascular system was investigated. Two flow regions were considered. A core flow region which is located in the lumen of the vessel. The flow in this region is similar to Poiseuille flow seen inside the straight pipes. Flow region through the glycocalyx is located near the lumen wall. The flow in this region is considered as a flow through the porous media. Solutions are found in both regions and wall shear stresses (WSS) and drag force are calculated. Full article
244 KiB  
Article
Mathematical Modeling of a SI Engine Cycle with Actual Air-Fuel Cycle Analyses
by Perihan Sekmen and Yakup Sekmen
Math. Comput. Appl. 2007, 12(3), 161-171; https://doi.org/10.3390/mca12030161 - 01 Dec 2007
Cited by 5 | Viewed by 1255
Abstract
The performance of an engine whose basic design parameters are known can be predicted with the assistance of simulation programs into the less time, cost and near value of actual. However, inadequate areas of the current model can guide future research because the [...] Read more.
The performance of an engine whose basic design parameters are known can be predicted with the assistance of simulation programs into the less time, cost and near value of actual. However, inadequate areas of the current model can guide future research because the effects of design variables on engine performance can be determined before. In this study, thermodynamic cycle and performance analyses were simulated for various engine speeds (1800, 2400 ve 3600 1/min) and various excess air coefficients (EAC) (0.95-1.05) to crank shaft angle (CA) with 1 degree increment at full load and 8:1 constant compression ratio (CR) of a SI engine with four stroke, single cylinder and natural aspirated. Brake mean effective pressure, power, thermal efficiency, specific fuel consumption (sfc), etc engine performance parameters were calculated; the values of peak cylinder pressures and temperatures and positions of them were determined by the present program. Variations of these parameters with crank angle, engine speed and excess air coefficient were presented graphically. The calculated results show good agreement with literature. Simulation program is usable to set for varies load, compression ratios, and engine sizes. Full article
2976 KiB  
Article
Discrete Singular Convolution for Free Vibration Analysis of Anisotropic Rectangular Plates
by Ömer Civalek and Okyay Kiracioglu
Math. Comput. Appl. 2007, 12(3), 151-160; https://doi.org/10.3390/mca12030151 - 01 Dec 2007
Cited by 4 | Viewed by 1256
Abstract
The focus in this study is on the application of the discrete singular convolution (DSC) method to the differential equation, which governs the free vibration of anisotropic plates, Regularized Shannon's delta (RSD) kernel is selected as singular convolution to illustrate the present algorithm. [...] Read more.
The focus in this study is on the application of the discrete singular convolution (DSC) method to the differential equation, which governs the free vibration of anisotropic plates, Regularized Shannon's delta (RSD) kernel is selected as singular convolution to illustrate the present algorithm. In the present study, free vibration analysis of rectangular composite plates via discrete singular convolution has been presented. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. The obtained results are compared with those of other numerical methods available in the literature. Numerical calculations showed that accurate results can be achieved. Full article
272 KiB  
Article
Step Based Geometric and Topological Similarity Assessment of Mechanical Parts
by Adem Çiçek
Math. Comput. Appl. 2007, 12(3), 141-150; https://doi.org/10.3390/mca12030141 - 01 Dec 2007
Cited by 2 | Viewed by 1135
Abstract
In this paper, an approach has been developed to assess geometric and topological similarity between 3D mechanical parts using their face-edge relation matrices. The approach relies on the STEP (Standard for the Exchange of Product Data Model) graphic standard to obtain the geometric [...] Read more.
In this paper, an approach has been developed to assess geometric and topological similarity between 3D mechanical parts using their face-edge relation matrices. The approach relies on the STEP (Standard for the Exchange of Product Data Model) graphic standard to obtain the geometric and topological data belonging to parts designed in a CAD system. The CAD model of any part is automatically translated into a STEP file and entities represented in the STEP file of it are mapped into face-edge relation matrix. Face-edge relation matrix is a square matrix and sized according to number of faces on a part. In the similarity assessment stage, the closest matrix in the database corresponding to matrix of the new part is retrieved and matched as matrix of the candidate part. Similarity factor between the new and candidate parts is calculated with respect to the matched faces and total faces in both matrices. Similarity assessment is useful for many CAD/CAM applications such as especially variant process planning, cost estimation and group technology. The algorithm has been applied to some real parts to demonstrate its efficiency and capability. Full article
125 KiB  
Article
Differential Transformation Method for Solving Differential Equations of Lane-Emden Type
by Vedat Suat Ertürk
Math. Comput. Appl. 2007, 12(3), 135-139; https://doi.org/10.3390/mca12030135 - 01 Dec 2007
Cited by 36 | Viewed by 1875
Abstract
Using differential transformation method to solve the Lane-Emden equations as singular initial value problems is introduced in this study. Some numerical examples are presented to illustrate the efficiency and reliability of the method. Full article
229 KiB  
Article
On the Inventory Model with Two Delaying Barriers
by Ihsan Unver
Math. Comput. Appl. 2007, 12(3), 125-134; https://doi.org/10.3390/mca12030125 - 01 Dec 2007
Cited by 2 | Viewed by 1095
Abstract
In this paper the process of semi-Markovian random walk with negative drift under angle α (0° < α < 90°), and positive jumps with probability ρ (0 < ρ < 1) having two delaying screens at level zero and a (a > 0) [...] Read more.
In this paper the process of semi-Markovian random walk with negative drift under angle α (0° < α < 90°), and positive jumps with probability ρ (0 < ρ < 1) having two delaying screens at level zero and a (a > 0) is constructed. The exact expressions for Laplace transforms of the distributions of the first moments in order to reach to these screens by the process and, in particularly, the expectations and the variances of indicated distributions are obtained. Full article
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