Improvement of inverse heat conduction solution using Laplace transformation: Method of partial division of time

2003 ◽  
Vol 32 (7) ◽  
pp. 630-638 ◽  
Author(s):  
Masanori Monde ◽  
Wei Liu ◽  
Hirofumi Arima ◽  
Yuhichi Mitsutake ◽  
J.A. Hammad
Keyword(s):  
Heat Conduction ◽  
Laplace Transformation ◽  
Transformation Method ◽  
Inverse Heat Conduction ◽  
Laplace Transformation Method ◽  
Partial Division

Thermoelastic response of a one-dimensional semi-infinite rod heated by a moving laser pulse

2016 ◽  
Vol 94 (10) ◽  
pp. 953-959 ◽  
Author(s):  
Yuxin Sun ◽  
Jingxuan Ma ◽  
Xin Wang ◽  
Ai Kah Soh ◽  
Jialing Yang
Keyword(s):  
Heat Conduction ◽  
Laser Pulse ◽  
Laplace Transformation ◽  
Heat Conduction Equation ◽  
Axial Direction ◽  
Transformation Method ◽  
Governing Equations ◽  
One Dimensional ◽  
Thermoelastic Response ◽  
Laplace Transformation Method

In the present study, thermoelastic behavior of a semi-infinite rod, which is subjected to a time exponentially decaying laser pulse, is formulated. The rod is free at the left end and the laser pulse moves along the axial direction from the left end. The non-Fourier effect of the heat conduction equation is considered and the Laplace transformation method is employed in solving the governing equations. The temperature, displacement, strain, and stress in the rod are derived and the distributions of the parameters at different positions are analyzed. Also the influence of the laser speed is investigated.

scholarly journals Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
M. Eshghi ◽  
M. Hamzavi ◽  
S. M. Ikhdair
Keyword(s):  
Dirac Equation ◽  
Laplace Transformation ◽  
Bound States ◽  
Energy Eigenvalue ◽  
Coulomb Field ◽  
Transformation Method ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Dependent Mass ◽  
Laplace Transformation Method

The spatially dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin and pseudospin (p-spin) symmetric limits by using the Laplace transformation method (LTM). Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ. Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit and in the absence of tensor interaction (T=0).

scholarly journals A new Laplace transformation method for dynamic testing of solar collectors

2015 ◽  
Vol 75 ◽  
pp. 448-458 ◽  
Author(s):  
Weiqiang Kong ◽  
Bengt Perers ◽  
Jianhua Fan ◽  
Simon Furbo ◽  
Federico Bava
Keyword(s):  
Laplace Transformation ◽  
Dynamic Testing ◽  
Transformation Method ◽  
Solar Collectors ◽  
Laplace Transformation Method

Identification of Transition to Turbulence in a Highly Accelerated Start-Up Pipe Flow

2005 ◽  
Vol 128 (4) ◽  
pp. 680-686 ◽  
Author(s):  
T. Koppel ◽  
L. Ainola
Keyword(s):  
Pipe Flow ◽  
Laplace Transformation ◽  
Transformation Method ◽  
Transition To Turbulence ◽  
Unsteady Boundary Layer ◽  
Physical Explanation ◽  
Pipe Flows ◽  
Flow Parameters ◽  
Start Up ◽  
Laplace Transformation Method

The transition from a laminar to a turbulent flow in highly accelerated start-up pipe flows is described. In these flows, turbulence springs up simultaneously over the entire length of the pipe near the wall. The unsteady boundary layer in the pipe was analyzed theoretically with the Laplace transformation method and the asymptotic method for small values of time. From the experimental results available, relationships between the flow parameters and the transition time were derived. These relationships are characterized by the analytical forms. A physical explanation for the regularities in the turbulence spring-up time is proposed.

Laplace-Weighted Residual Method For Problems with Semi-Infinite Domain

2016 ◽  
Vol 7 (2) ◽  
Author(s):  
Babatunde Sunday Ogundare
Keyword(s):  
Boundary Condition ◽  
Approximate Solution ◽  
Numerical Method ◽  
Laplace Transformation ◽  
Transformation Method ◽  
Weighted Residual Method ◽  
Infinite Domain ◽  
Numerical Examples ◽  
Residual Method ◽  
Laplace Transformation Method

This paper presents an efficient numerical method for the approximate solution of problems involving boundary condition at infinity. The whole idea of the method is based on the combination of Laplace transformation method and weighted residual method. Numerical examples are given to show the validity and applicability of the proposed method and the results obtained are compared with other methods in the literatures.

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