scholarly journals A Mathematical Model to Solve Bio-Heat Transfer Problems through a Bio-Heat Transfer Equation with Quadratic Temperature-Dependent Blood Perfusion under a Constant Spatial Heating on Skin Surface

2014 ◽  
Vol 07 (09) ◽  
pp. 721-730 ◽  
Author(s):  
Emmanuel Kengne ◽  
Idir Mellal ◽  
Mariem Ben Hamouda ◽  
Ahmed Lakhssassi
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Transfer Equation ◽  
Blood Perfusion ◽  
Skin Surface ◽  
Heat Transfer Equation ◽  
Temperature Dependent ◽  
Transfer Problems ◽  
Quadratic Temperature

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.

Research on Heat Distribution in a Thermal Insulation Space and a Kind of Evaluation Involving Heat-Distribution and Valid Heating-Area

2013 ◽  
Vol 444-445 ◽  
pp. 1427-1433
Author(s):  
Hong Yang Jin ◽  
Zhi Hua Chen ◽  
Lang Li
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Standard Deviation ◽  
Thermal Insulation ◽  
Transfer Equation ◽  
Heating Process ◽  
Heat Distribution ◽  
Heat Transfer Equation ◽  
Heat Transmission

Considering that food always be spoiled in an oven, an analysis of the heat distribution of an object (pan) in a thermal insulation space has been done. The analysis based on the characteristics of heat transmission in an oven. A mathematical model is designed to illustrate the heating process. Specifically, in order to monitor the temperature of the object, pdetool in MATLAB is used to solve the heat transfer equation. Then to evaluate how an object performs in the oven, a method of standard deviation has been introduced. For the efficiency, valid heating area should also be considered. Thus an evaluation is made to choose a most preferring pan, which is balanced between heat distribution and valid heating area (number of pans). The experiment shows that shapes would devote much in performance. It is also demonstrated that there is a certain shape that can be most suitable to be a pan.

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 Analysis of the dual phase lag bio-heat transfer equation with constant and time-dependent heat flux conditions on skin surface

2016 ◽  
Vol 20 (5) ◽  
pp. 1457-1472 ◽  
Author(s):  
Poor Ziaei ◽  
Hassan Moosavi ◽  
Amir Moradi
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Thermal Wave ◽  
Transfer Equation ◽  
Skin Surface ◽  
Time Dependent ◽  
Skin Tissue ◽  
High Heat Flux ◽  
Phase Lag ◽  
Heat Transfer Equation

This article focuses on temperature response of skin tissue due to time-dependent surface heat fluxes. Analytical solution is constructed for DPL bio-heat transfer equation with constant, periodic and pulse train heat flux conditions on skin surface. Separation of variables and Duhamel?s theorem for a skin tissue as a finite domain are employed. The transient temperature responses for constant and time-dependent boundary conditions are obtained and discussed. The results show that there is major discrepancy between the predicted temperature of parabolic (Pennes bio-heat transfer), hyperbolic (thermal wave) and DPL bio-heat transfer models when high heat flux accidents on the skin surface with a short duration or propagation speed of thermal wave is finite. The results illustrate that the DPL model reduces to the hyperbolic model when ?T approaches zero and the classic Fourier model when both thermal relaxations approach zero. However for ?q = ?T the DPL model anticipates different temperature distribution with that predicted by the Pennes model. Such discrepancy is due to the blood perfusion term in energy equation. It is in contrast to results from the literature for pure conduction material, where the DPL model approaches the Fourier heat conduction model when ?q = ?T . The burn injury is also investigated.

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.

Mathematical Model of the Bridgman-Stockbarger Method to Growth Semiconductor Single Crystals

1992 ◽  
Vol 278 ◽  
Author(s):  
E. Vega ◽  
G. Muiñiz ◽  
F. Rabago
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Single Crystals ◽  
Transfer Equation ◽  
Point System ◽  
Two Dimensional ◽  
Heat Transfer Equation ◽  
Stability Problems ◽  
Stockbarger Method ◽  
Dimensional Equation

AbstractA two dimensional equation has been solved which represents the heat transfer equation for the growth of single crystals system called Bridgman- Stockbarger method. Two variations were analyzed with and without an insulation between heater and cooler. System without an insulation shows stability problems because it's directly affected by the boundary between the cooler and heater region, in this case we obtained a discontinuity in this point. System with an insulation shows higher stability.

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