scholarly journals An approximate integral method for calculating the diffracted component from multiple two‐dimensional objects

1995 ◽  
Vol 97 (1) ◽  
pp. 51-61
Author(s):  
T. R. T. Nightingale
Keyword(s):  
Integral Method ◽  
Two Dimensional ◽  
Approximate Integral ◽  
Approximate Integral Method

Combined Forced and Free Convection Laminar Flow over a Vertical Plate

1973 ◽  
Vol 187 (1) ◽  
pp. 191-197
Author(s):  
A. Brown
Keyword(s):  
Laminar Flow ◽  
Free Convection ◽  
Integral Method ◽  
Vertical Plate ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Approximate Integral ◽  
Forced Convection Flow ◽  
Approximate Integral Method ◽  
Vertical Flat Plate

The approximate integral method of von Kármán is adapted to analyse combined forced and free convection laminar flow over a vertical flat plate at a constant temperature. This approach produces relatively simple expressions relating velocity and temperature profiles, skin friction and heat transfer to Pr and Gr/Re2 for the situation where forced convection flow is dominant over free convection. The results of the analysis compare favourably with more exact theoretical treatments and with experiment.

Combined Forced and Free Convection Laminar Flow over a Vertical Plate

1973 ◽  
Vol 187 (1) ◽  
pp. 191-197 ◽  
Author(s):  
A. Brown
Keyword(s):  
Laminar Flow ◽  
Free Convection ◽  
Integral Method ◽  
Vertical Plate ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Approximate Integral ◽  
Forced Convection Flow ◽  
Approximate Integral Method ◽  
Vertical Flat Plate

The approximate integral method of von Kármán is adapted to analyse combined forced and free convection laminar flow over a vertical flat plate at a constant temperature. This approach produces relatively simple expressions relating velocity and temperature profiles, skin friction and heat transfer to Pr and Gr/Re2 for the situation where forced convection flow is dominant over free convection. The results of the analysis compare favourably with more exact theoretical treatments and with experiment.

scholarly journals An interaction integral method for evaluating T-stress for two-dimensional crack problems using the extended radial point interpolation method

2015 ◽  
Vol 18 (2) ◽  
pp. 106-113
Author(s):  
Nha Thanh Nguyen ◽  
Hien Thai Nguyen ◽  
Minh Ngoc Nguyen ◽  
Thien Tich Truong
Keyword(s):  
Integral Method ◽  
Interpolation Method ◽  
Two Dimensional ◽  
Radial Point Interpolation Method ◽  
Interaction Integral ◽  
Crack Problems ◽  
Radial Point Interpolation ◽  
T Stress ◽  
Point Interpolation Method ◽  
Point Interpolation

The so-called T-stress, or second term of the William (1957) series expansion for linear elastic crack-tip fields, has found many uses in fracture mechanics applications. In this paper, an interaction integral method for calculating the T-stress for two-dimensional crack problems using the extended radial point interpolation method (XRPIM) is presented. Typical advantages of RPIM shape function are the satisfactions of the Kronecker’s delta property and the high-order continuity. The T-stress can be calculated directly from a path independent interaction integral entirely based on the J-integral by simply the auxiliary field. Several benchmark examples in 2D crack problem are performed and compared with other existing solutions to illustrate the correction of the presented approach.

A Numerical Method for Heat Conduction Problems

1974 ◽  
Vol 96 (3) ◽  
pp. 307-312 ◽  
Author(s):  
M. J. Reiser ◽  
F. J. Appl
Keyword(s):  
Exact Solution ◽  
Heat Conduction ◽  
Steady State ◽  
Numerical Analysis ◽  
Temperature Gradient ◽  
Singular Integral ◽  
Integral Method ◽  
Two Dimensional ◽  
Convection Boundary ◽  
Steady State Heat

A singular integral method of numerical analysis for two-dimensional steady-state heat conduction problems with any combination of temperature, gradient, or convection boundary conditions is presented. Excellent agreement with the exact solution is illustrated for an example problem. The method is used to determine the solution for a fin bank with convection.

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