Applicability of Axisymmetric Analysis in Predicting Supersonic Flow Through Annular Cascades

1977 ◽  
Vol 99 (1) ◽  
pp. 115-120
Author(s):  
Hans-Heiner Fruehauf
Keyword(s):  
Supersonic Flow ◽  
Differential Equations ◽  
Three Dimensional ◽  
Supersonic Flows ◽  
Dimensional Model ◽  
Surfaces Of Revolution ◽  
Three Dimensional Model ◽  
Dynamical Parameters ◽  
Flow Through ◽  
Blade Model

Solutions of the differential equations of the axisymmetric model and circumferentially averaged solutions of the differential equations of the three-dimensional model are compared quantitatively for steady supersonic flows through rotating annular cascades. Thereby three-dimensional corrections for flow quantities, which determine the applicability of the axisymmetric analysis, are investigated as a function of geometrical and gas dynamical parameters. Finally, these three-dimensional corrections are compared to three-dimensional corrections for the solutions of the usual blade-to-blade model on cylindrical surfaces of revolution for identical annular cascades.

scholarly journals Re-Evaluating the Classical Falling Body Problem

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 553 ◽  
Author(s):  
Essam R. El-Zahar ◽  
Abdelhalim Ebaid ◽  
Abdulrahman F. Aljohani ◽  
José Tenreiro Machado ◽  
Dumitru Baleanu
Keyword(s):  
Differential Equations ◽  
Body Problem ◽  
Inertial Frame ◽  
Analytic Solution ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Rotating Frame ◽  
Dimensional Model ◽  
Three Dimensional Model

This paper re-analyzes the falling body problem in three dimensions, taking into account the effect of the Earth’s rotation (ER). Accordingly, the analytic solution of the three-dimensional model is obtained. Since the ER is quite slow, the three coupled differential equations of motion are usually approximated by neglecting all high order terms. Furthermore, the theoretical aspects describing the nature of the falling point in the rotating frame and the original inertial frame are proved. The theoretical and numerical results are illustrated and discussed.

Spatial Supersonic Flow Through Annular Cascades

1976 ◽  
Vol 98 (2) ◽  
pp. 274-280
Author(s):  
H. H. Fruehauf
Keyword(s):  
Supersonic Flow ◽  
Approximation Method ◽  
Method Of Characteristics ◽  
Three Dimensional ◽  
Dimensional Approximation ◽  
Practical Design ◽  
Dynamical Parameters ◽  
Flow Through ◽  
Guiding Principles

The spatial supersonic flow through rotating and stationary annular cascades is analyzed by means of a nonlinear three-dimensional method of characteristics. Three-dimensional corrections for flow quantities referred to a quasi-three-dimensional approximation method are determined depending on geometric and gas dynamical parameters. Characteristic properties of spatial supersonic flow through annular cascades are analyzed, leading to guiding principles for practical design purposes.

Numerical Modeling of Non-Newtonian Fluid Flow in a Porous Medium Using a Three-Dimensional Periodic Array

1998 ◽  
Vol 120 (1) ◽  
pp. 131-135 ◽  
Author(s):  
Masahiko Inoue ◽  
Akira Nakayama
Keyword(s):  
Porous Medium ◽  
Fluid Flow ◽  
Pressure Drop ◽  
Pressure Gradient ◽  
Newtonian Fluid ◽  
Three Dimensional ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Inertia Effects ◽  
Flow Through

Three-dimensional numerical experiments have been conducted to investigate the viscous and porous inertia effects on the pressure drop in a non-Newtonian fluid flow through a porous medium. A collection of cubes placed in a region of infinite extent has been proposed as a three-dimensional model of microscopic porous structure. A full set of three-dimensional momentum equations is treated along with the continuity equation at a pore scale, so as to simulate a flow through an infinite number of obstacles arranged in a regular pattern. The microscopic numerical results, thus obtained, are processed to extract the macroscopic relationship between the pressure gradient-mass flow rate. The modified permeability determined by reading the intercept value in the plot showing the dimensionless pressure gradient versus Reynolds number closely follows Christopher and Middleman’s formula based on a hydraulic radius concept. Upon comparing the results based on the two- and three-dimensional models, it has been found that only the three-dimensional model can capture the porous inertia effects on the pressure drop, correctly. The resulting expression for the porous inertia possesses the same functional form as Ergun’s, but its level is found to be only one third of Ergun’s.

Numerical Simulation on Solidification of Flow inside an Elliptical Pipe

2015 ◽  
Vol 799-800 ◽  
pp. 751-755
Author(s):  
Lan Li ◽  
Huan Ma ◽  
Feng Qi Si ◽  
Kang Ping Zhu
Keyword(s):  
Heat Transfer ◽  
Fluid Dynamics ◽  
Numerical Simulation ◽  
Three Dimensional ◽  
Short Axis ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Axis Direction ◽  
Lower Reynolds Number ◽  
Flow Through

The aim of this investigation is to study the characteristics of solidification of flow through an elliptical pipe and to avoid the solidification and blockage in the pipe. A three-dimensional model has been completed using the commercial fluid dynamics code, Fluent. Analyses under different conditions show that different factors affect the characteristics of solidification and heat transfer in the pipe. The lower Reynolds number is or the higher dimensionless wall temperature turns, the thicker the ice layer becomes, which will increase the risk of blockage. The thickness at the long axis direction will grow with the increase of ellipse aspect ratio while it turns out contrary at short axis direction.

Binding of Triazines and Triazinones in the QB-Binding Niche of Photosystem II

1993 ◽  
Vol 48 (3-4) ◽  
pp. 205-212 ◽  
Author(s):  
Klaus G. Tietjen ◽  
Wilfried Draber ◽  
John Goossens ◽  
Johannes R. Jansen ◽  
Joachim F. Kluth ◽  
...  
Keyword(s):  
Photosystem Ii ◽  
Computer Modelling ◽  
Electron Flow ◽  
Three Dimensional ◽  
Wild Type ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Inhibitory Potency ◽  
Flow Through ◽  
Derivatives Of

Abstract A series of 20 triazines (derivatives of 2-alkylamino-4-benzylam ino-6-chloro-1,3,5-triazines) and 37 triazinones (derivatives of 3-alkyl-4-amino-6-phenyl-1,2,4-triazin-5-ones) is tested for inhibitory potency in photosynthetic electron flow through photosystem II of wild type Chlamydomonas reinhardtii and of five mutants with aminoacid substitutions in the D 1 protein at valine 219, alanine 251, phenylalanine 255, serine 264, and leucine 275. The data are used for computer modelling of the possible location of the compounds within a three dimensional model of the QB-binding niche of the D 1 protein.

Simulation of Water Hydraulic Control System of Francis Turbine

2014 ◽  
Author(s):  
Pawel Walczak ◽  
Andrzej Sobczyk
Keyword(s):  
Control System ◽  
Three Dimensional ◽  
Simulation Models ◽  
Francis Turbine ◽  
Modern World ◽  
Hydraulic Control ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Flow Through ◽  
Water Hydraulic

In the modern world continually grows ecological consciousness of societies. We are looking for new and develop the already known methods of energy generation from renewable sources. Designing of simulation models using newest software (i.e. Simulation X) of existing system and on their base building new allow in an easy and fast way to demonstrate their advantages but also find areas that need to be improve. Based on previous experiences and virtual tests [12] finally was managed to create model of Francis turbine control system using water hydraulic elements. This article presents of the system consisting of three connected and interacting subsystems: hydraulic model of the guide apparatus control system, three-dimensional model of guide apparatus and model of water flow through the system of guide apparatus - turbine.

Three-Dimensional Model for Virtual Surgical Simulation, during Complex Skull Base Surgery and Aneurysm Surgery

Skull Base ◽  
2008 ◽  
Vol 18 (S 01) ◽  
Author(s):  
Akio Morita ◽  
Toshikazu Kimura ◽  
Shigeo Sora ◽  
Kengo Nishimura ◽  
Hisayuki Sugiyama ◽  
...  
Keyword(s):  
Skull Base ◽  
Surgical Simulation ◽  
Skull Base Surgery ◽  
Three Dimensional ◽  
Aneurysm Surgery ◽  
Dimensional Model ◽  
Three Dimensional Model
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