scholarly journals Applications of the Fourier-like integral transform in the wave and heat-transfer problems

2019 ◽  
Vol 23 (Suppl. 3) ◽  
pp. 703-709
Author(s):  
Shanjie Su ◽  
Feng Gao ◽  
Zekai Wang ◽  
Menglin Du
Keyword(s):  
Heat Transfer ◽  
Wave Equation ◽  
Transfer Equation ◽  
Integral Transform ◽  
Integral Transforms ◽  
Heat Transfer Equation ◽  
Basic Functions ◽  
Transfer Problems ◽  
D Wave

In this article, some new properties of a novel integral transform termed the Fourier-Yang are explored. The Fourier-Yang integral transforms of several basic functions are given firstly. With the aid of the new integral transform, a 1-D wave equation and 2-D heat transfer equation are solved. The results show that the Fourier-Yang integral transform is efficient in solving PDE.

scholarly journals Analytical solution for the 1-D heat transfer equations with radiative loss

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 47-53
Author(s):  
You-Chang Lv ◽  
Man Wang ◽  
Ying-Wei Wang
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Transfer Equation ◽  
Integral Transform ◽  
Radiative Loss ◽  
Heat Transfer Equation ◽  
Transfer Equations ◽  
Type Integral ◽  
Transfer Problems

In this paper, we consider the 1-D heat transfer equation with radiative loss. The variational iterative Sumudu type integral transform is used to obtain the analytical solution for the heat transfer problems. The presented method is efficient and accurate.

scholarly journals New integral transforms for solving a steady heat transfer problem

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 79-87 ◽  
Author(s):  
Xiao-Jun Yang
Keyword(s):  
Heat Transfer ◽  
Transfer Equation ◽  
Transfer Problem ◽  
Integral Transforms ◽  
Heat Transfer Problem ◽  
Heat Transfer Equation ◽  
First Time ◽  
Steady Heat

The new Fourier-like integral transforms ?(?)= ? ???? ?(t)e-ikt dt, ?(?)= 1/????? ?(t)e-i?t dt, ?(?) 1/? ???? ?(t)e-it/? dt, ?(?)= ????? ?(t)e-it/? dt are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.

Systems Actuated by Shape Memory Alloys: Identification and Modeling

2021 ◽  
Vol 1 (2) ◽  
pp. 12-20
Author(s):  
Najmeh Keshtkar ◽  
Johannes Mersch ◽  
Konrad Katzer ◽  
Felix Lohse ◽  
Lars Natkowski ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Numerical Simulations ◽  
Shape Memory ◽  
Transfer Equation ◽  
Mechanical Parameters ◽  
Heat Transfer Equation ◽  
The Mathematical Model

This paper presents the identification of thermal and mechanical parameters of shape memory alloys by using the heat transfer equation and a constitutive model. The identified parameters are then used to describe the mathematical model of a fiber-elastomer composite embedded with shape memory alloys. To verify the validity of the obtained equations, numerical simulations of the SMA temperature and composite bending are carried out and compared with the experimental results.

scholarly journals Laplace transform series expansion method for solving the local fractional heat-transfer equation defined on Cantor sets

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 777-780
Author(s):  
Huan Sun ◽  
Xing-Hua Liu
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Series Expansion ◽  
Transfer Equation ◽  
Expansion Method ◽  
Cantor Sets ◽  
Heat Transfer Equation ◽  
Local Fractional Calculus ◽  
The Laplace Transform ◽  
Series Expansion Method

In this paper, we use the Laplace transform series expansion method to find the analytical solution for the local fractional heat-transfer equation defined on Cantor sets via local fractional calculus.

scholarly journals Temperature distribution in the three-layered upper mantle beneath a continent

2021 ◽  
Vol 2119 (1) ◽  
pp. 012006
Author(s):  
A G Kirdyashkin ◽  
A A Kirdyashkin ◽  
A V Borodin ◽  
V S Kolmakov
Keyword(s):  
Heat Transfer ◽  
Temperature Distribution ◽  
Convective Heat Transfer ◽  
Upper Mantle ◽  
Lower Mantle ◽  
Transfer Equation ◽  
Horizontal Layer ◽  
Heat Transfer Equation ◽  
Continental Lithosphere ◽  
Conduction Heat Transfer

Abstract Temperature distribution in the upper mantle underneath the continent, as well as temperature distribution in the lower mantle, is obtained. In the continental lithosphere, the solution to the heat transfer equation is obtained in the model of conduction heat transfer with inner heat within the crust. To calculate the temperature distribution in the upper and lower mantle, we use the results of laboratory and theoretical modeling of free convective heat transfer in a horizontal layer heated from below and cooled from above.

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