Use of an Integral-Transform Technique for Comprehensive Solutions to Transient-Flow Problems in Homogeneous Domains

2000 ◽  
Author(s):  
N.M. Anisur Rahman ◽  
R.G. Bentsen
Keyword(s):  
Transient Flow ◽  
Integral Transform ◽  
Flow Problems ◽  
Homogeneous Domains ◽  
Integral Transform Technique

Comprehensive Solutions for Transient-Flow Problems in 3D Homogeneous Domains

2001 ◽  
Author(s):  
N.M. Anisur Rahman ◽  
Ramon G. Bentsen
Keyword(s):  
Transient Flow ◽  
Flow Problems ◽  
Homogeneous Domains

\Transient Heat Diffusion Problems with Variable Thermal Properties Solved by Generalized Integral Transform Technique

2014 ◽  
Vol 8 (5) ◽  
pp. 931
Author(s):  
Marcelo Ferreira Pelegrini ◽  
Thiago Antonini Alves ◽  
Ricardo Alan Verdú Ramos ◽  
Cassio Roberto Macedo Maia
Keyword(s):  
Thermal Properties ◽  
Integral Transform ◽  
Heat Diffusion ◽  
Transient Heat Diffusion ◽  
Integral Transform Technique ◽  
Diffusion Problems

A Detailed Approach for the Classical Integral Transform Technique in Ablation Phenomenon with Moving Boundaries

2020 ◽  
Author(s):  
Gilvan Do Nascimento Filho ◽  
Jakler Nichele ◽  
Leonardo Santos de Brito Alves
Keyword(s):  
Integral Transform ◽  
Moving Boundaries ◽  
Classical Integral ◽  
Integral Transform Technique

Three-dimensional transient flow in heterogeneous reservoirs: Integral transform solution of a generalized point-source problem

2021 ◽  
pp. 109976
Author(s):  
Leonardo O. Pelisoli ◽  
Renato M. Cotta ◽  
Carolina P. Naveira-Cotta ◽  
Paulo Couto
Keyword(s):  
Point Source ◽  
Transient Flow ◽  
Integral Transform ◽  
Three Dimensional ◽  
Heterogeneous Reservoirs

Hybrid Analytical-Numerical Analysis of SAE 4150 Alloy Steel Rods Cooling

2014 ◽  
Vol 1082 ◽  
pp. 187-190 ◽  
Author(s):  
Marcelo Ferreira Pelegrini ◽  
Thiago Antonini Alves ◽  
Felipe Baptista Nishida ◽  
Ricardo A. Verdú Ramos ◽  
Cassio R. Macedo Maia
Keyword(s):  
Diffusion Equation ◽  
Alloy Steel ◽  
Integral Transform ◽  
Numerical Study ◽  
Physical Parameters ◽  
Analytical Treatment ◽  
Aspect Ratios ◽  
Rectangular Cylinders ◽  
Thermo Physical Properties ◽  
Integral Transform Technique

In this work, a hybrid analytical-numerical study was performed in cooling of rectangular rods made from SAE 4150 alloy steel (0.50% carbon, 0.85% chrome, 0.23% molybdenum, and 0.30% silicon). The analysis can be represented by the solution of transient diffusive problems in rectangular cylinders with variable thermo-physical properties in its domain under the boundary conditions of first kind (Dirichlet condition) and uniform initial condition. The diffusion equation was linearized through the Kirchhoff Transformation on the temperature potential to make the analytical treatment easier. The Generalized Integral Transform Technique (GITT) was applied on the diffusion equation in the domain in order to determine the temperature distribution. The physical parameters of interest were determined for several aspect ratios and compared with the results obtained through numerical simulations using the commercial software ANSYS/FluentTM15.

scholarly journals INTEGRAL TRANSFORM TECHNIQUE FOR MESON WAVE FUNCTIONS

1996 ◽  
Vol 11 (20) ◽  
pp. 1611-1626 ◽  
Author(s):  
A.P. BAKULEV ◽  
S.V. MIKHAILOV
Keyword(s):  
Wave Function ◽  
Sum Rules ◽  
Integral Transform ◽  
Wave Functions ◽  
Sum Rule ◽  
New Approach ◽  
Exactly Solvable ◽  
The Stability ◽  
The Masses ◽  
Integral Transform Technique

In a recent paper1 we have proposed a new approach for extracting the wave function of the π-meson φπ(x) and the masses and wave functions of its first resonances from the new QCD sum rules for nondiagonal correlators obtained in Ref. 2. Here, we test our approach using an exactly solvable toy model as illustration. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance (π′), but also in the estimation of π″-mass.

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