Similarity Solution for the Curved Two-Dimensional Jet

1972 ◽  
Vol 39 (4) ◽  
pp. 879-882
Author(s):  
G. K. Fleming ◽  
S. A. Alpay
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Nonlinear Equation ◽  
Similarity Solution ◽  
Separation Bubble ◽  
The Other ◽  
Wall Jet ◽  
Two Dimensional ◽  
Two Parameter ◽  
Outer Half

A similarity solution has been obtained for a fluid jet bounded on one side by a separation bubble and on the other by an unbounded region containing the same fluid. The inner boundary has been approximated by a porous pseudowall. The resulting mathematical model reduces to other cases such as the plane wall jet and the free curved jet. A two-parameter family of solutions to the resulting nonlinear equation for the outer half of the jet correlates well with experimental data.

Heat Convection from a Horizontal Cylinder Rotating in a Quiescent Fluid

1986 ◽  
Vol 10 (3) ◽  
pp. 141-152
Author(s):  
H.M. Badr ◽  
S.M. Ahmed
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Mathematical Model ◽  
Horizontal Cylinder ◽  
Heat Transfer Process ◽  
Two Dimensional ◽  
Two Dimensional Flow ◽  
Boussinesq Fluid ◽  
The Mathematical Model ◽  
Quiescent Fluid

The aim of this work is a theoretical investigation to the problem of heat transfer from an isothermal horizontal cylinder rotating in a quiescent fluid. The study is based on the solution of the conservation equations of mass, momentum and energy for two-dimensional flow of a Boussinesq fluid. The effects of the parameters which influence the heat transfer process namely the Reynolds number and Grashof number are considered while the Prandtl number is held constant. Streamline and isotherm patterns are obtained from the mathematical model and the results are compared with previous experimental data. A satisfactory agreement was found.

Laminar Wall Jet of a Non-Newtonian Fluid Over a Curved Surface

1984 ◽  
Vol 51 (2) ◽  
pp. 440-443 ◽  
Author(s):  
Rama Subba Reddy Gorla
Keyword(s):  
Friction Coefficient ◽  
Velocity Field ◽  
Newtonian Fluid ◽  
Similarity Solution ◽  
Skin Friction Coefficient ◽  
Curved Surface ◽  
Wall Jet ◽  
Two Dimensional ◽  
Special Shape ◽  
Curvature Parameter

An analysis is presented for the flow of a laminar, two-dimensional, incompressible, non-Newtonian fluid jet flowing over a curved surface. A unique similarity solution is obtained for both concave and convex surfaces. The similarity solution requires a special shape of the curved surface which is also determined. Numerical results are presented for the details of the velocity field and skin friction coefficient as a function of the curvature parameter.

Weir flows and waterfalls

1991 ◽  
Vol 230 ◽  
pp. 525-539 ◽  
Author(s):  
Frédéric Dias ◽  
E. O. Tuck
Keyword(s):  
Vertical Wall ◽  
Finite Depth ◽  
Free Surface Flows ◽  
Parameter Family ◽  
The Other ◽  
Two Dimensional ◽  
Surface Flows ◽  
Supercritical Solutions ◽  
Subcritical Solutions ◽  
Two Parameter

Two-dimensional free-surface flows, which are uniform far upstream in a channel of finite depth that ends suddenly, are computed numerically. The ending is in the form of a vertical wall, which may force the flow upward before it falls down forever as a jet under the effect of gravity. Both subcritical and supercritical solutions are presented. The subcritical solutions are a one-parameter family of solutions, the single parameter being the ratio between the height of the wall and the height of the uniform flow far upstream. On the other hand, the supercritical solutions are a two-parameter family of solutions, the second parameter being the Froude number. Moreover, for some combinations of the parameters, it is shown that the solution is not unique.

Research on the Zero Drift of Sensor Based on Data Fusion Technology

2012 ◽  
Vol 546-547 ◽  
pp. 696-701
Author(s):  
Xiao Ming Li ◽  
Zhi Shu Feng ◽  
Zhong Chun Cai ◽  
Bin Xie ◽  
Chang Jie Liu
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Regression Analysis ◽  
Data Fusion ◽  
Zero Drift ◽  
Two Dimensional ◽  
Fusion Technology ◽  
Input Output ◽  
Influence Of Temperature ◽  
Fusion Methods

The zero drift of sensor and its solution are presented in this paper. The basic principle of data fusion with two-dimensional regression analysis is expounded and the experimental data of any pressure sensor are fused with the two-dimensional regression analysis. Besides, the input-output mathematical model of sensor under the influence of temperature is established. At last, the linear, fitting and fusion methods are compared.

Investigations of Grinding Forces for Nanostructured WC/12Co Coatings

2006 ◽  
Vol 304-305 ◽  
pp. 151-155 ◽  
Author(s):  
Zhao Hui Deng ◽  
Bi Zhang ◽  
F. Cheng
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Unit Area ◽  
The Other ◽  
Surface Grinding ◽  
Depth Of Cut ◽  
Grinding Forces ◽  
Theoretical Investigations ◽  
Grinding Machine ◽  
Different Parts

This study focuses on experimental and theoretical investigations of grinding forces for nanostructured WC/12Co coatings. In this study, nanostructured WC/12Co coatings are ground on a precision surface-grinding machine with four diamond wheels of two bond types and three grit sizes. A mathematical model is proposed to predict grinding forces per unit area and per grit, and is used to fit the experimental data. The model is also subsectioned into two different parts with one part fitting grinding forces for the smaller grit depth of cut condition and the other part for the larger grit depth of cut condition. Grinding mechanisms are also discussed in terms of grinding forces and grit depth of cut.

On Fitting Gamma Distrubution to Synthetic Runoff Hydrographs

1985 ◽  
Vol 16 (3) ◽  
pp. 177-192 ◽  
Author(s):  
V. P. Singh ◽  
P. K. Chowdhury
Keyword(s):  
Experimental Data ◽  
Likelihood Estimation ◽  
The Other ◽  
Planar Boundary ◽  
Principle Of Maximum Entropy ◽  
Unit Hydrographs ◽  
Runoff Hydrographs ◽  
Methods Of Moments ◽  
Principle Of Maximum ◽  
Two Parameter

Twelve methods of fitting the two-parameter gamma distribution to unit hydrographs are evaluated using experimental data. Five of them are the methods of moments (MOM), cumulants (MOC), maximum likelihood estimation (MLE), least squares (MOLS), and principle of maximum entropy (POME). The remaining seven are based on specification of different point and planar boundary conditions. It is found that of the later seven methods, only one is satisfactory; the other six are inaccurate and should be abandoned for purposes of achieving a mathematical fit. The first five methods are reliable, easier and efficient, and should be preferred.

Random execution of a set of contacts to solve the grasping and contact uncertainties in robotic tasks

Robotica ◽  
2001 ◽  
Vol 19 (2) ◽  
pp. 199-207
Author(s):  
Alvin Chua ◽  
Jayantha Katupitiya ◽  
Joris De Schutter
Keyword(s):  
Experimental Data ◽  
Kalman Filter ◽  
Kalman Filters ◽  
Force Sensor ◽  
The Other ◽  
Two Dimensional ◽  
Error Covariance ◽  
Ideal Position ◽  
Contact Situation ◽  
Robotic Tasks

This paper addresses the problem of identifying the uncertainties present in a robotic contact situation. These uncertainties are errors and misalignments of an object with respect to its ideal position. The paper describes how to solve for the errors caused during grasping and errors present when coming into contact with the environment. A force sensor is used together with Kalman Filters to solve for all the uncertainties. The straightforward use of a force sensor and the Kalman Filters is found to be effective in finding only some of the uncertainties in robotic contact. The other uncertainties form dependencies that cannot be estimated in this manner. This dependency brings about the problem of observability. To make the unobservable uncertainties observable a sequence of contacts are used. The error covariance matrix of the Kalman Filter (KF) is used to obtain new contacts that are required to solve for all the uncertainties completely. There is complete freedom in choosing which unobservable quantity to be excited in forming the next contact. The paper describes how these new contacts can be randomly executed. A two dimensional contact situation will be used to demonstrate the effectiveness of the method. Experimental data are also presented to prove the validity of the procedure. Due to the non-linear relationship between the uncertainties and the forces, an Extended Kalman Filter (EKF) has been used.

Transmission of Solar Radiation Through a Random Medium of Water and Glass

1986 ◽  
Vol 108 (3) ◽  
pp. 199-205 ◽  
Author(s):  
M. J. Witte ◽  
T. A. Newell
Keyword(s):  
Experimental Data ◽  
Solar Radiation ◽  
Empirical Equation ◽  
Random Medium ◽  
The Other ◽  
Rectangular Lattice ◽  
Two Dimensional ◽  
Radiation Exchange ◽  
Radiation Transmission ◽  
Semi Empirical

Two models are presented for the prediction of solar radiation transmission through a random medium of glass and water. One model is based on two-dimensional radiation exchange through a rectangular lattice of glass and water. This model is also applicable for materials other than glass and water. The other model is a semi-empirical equation which expresses the transmission as an exponential function. Both models predict transmittances within 5–10 percent of experimental data.

Secondary Flows, Endwall Effects and Stall Detection in Axial Compressor Design

2014 ◽  
Author(s):  
Milan Banjac ◽  
Milan V. Petrovic ◽  
Alexander Wiedermann
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Mathematical Model ◽  
Axial Compressor ◽  
Secondary Flows ◽  
Integral Model ◽  
Test Cases ◽  
Two Dimensional ◽  
Compressor Design ◽  
Additional Losses

This paper describes a methodology and a fully tested and calibrated mathematical model for the treatment of endwall effects in axial compressor aerodynamic calculations. Additional losses and deviations caused by the clearance and secondary flows are analyzed. These effects are coupled with endwall boundary layer losses and blockage development. Stall/surge detection is included and mutual interaction of different loss mechanisms is considered. Individual mathematical correlations for different effects have been created or adopted from earlier papers with the aim of forming one integral model that is completely described in this paper. Separate mathematical correlations and calibration measures are discussed in detail in the first part of the paper. The developed overall model is suitable for application in two-dimensional or mean-line compressor flow calculations. During the development, it was tested, calibrated and validated using throughflow calculations comparing numerical results with experimental data for a large number of test cases. These test cases include compressors with very different configurations and operating ranges. The data on the compressors were taken from the open literature or obtained from industrial partners.

Secondary Flows, Endwall Effects, and Stall Detection in Axial Compressor Design

2015 ◽  
Vol 137 (5) ◽  
Author(s):  
Milan Banjac ◽  
Milan V. Petrovic ◽  
Alexander Wiedermann
Keyword(s):  
Experimental Data ◽  
Boundary Layer ◽  
Mathematical Model ◽  
Axial Compressor ◽  
Secondary Flows ◽  
Integral Model ◽  
Test Cases ◽  
Two Dimensional ◽  
Compressor Design ◽  
Additional Losses

This paper describes a methodology and a fully tested and calibrated mathematical model for the treatment of endwall effects in axial compressor aerodynamic calculations. Additional losses and deviations caused by the clearance and secondary flows are analyzed. These effects are coupled with endwall boundary layer losses (EWBL) and blockage development. Stall/surge detection is included, and mutual interaction of different loss mechanisms is considered. Individual mathematical correlations for different effects have been created or adopted from earlier papers with the aim of forming one integral model that is completely described in this paper. Separate mathematical correlations and calibration measures are discussed in detail in the first part of the paper. The developed overall model is suitable for application in two-dimensional (2D) or mean-line compressor flow calculations. During the development, it was tested, calibrated, and validated using throughflow calculations comparing numerical results with experimental data for a large number of test cases. These test cases include compressors with very different configurations and operating ranges. The data on the compressors were taken from the open literature or obtained from industrial partners.

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