scholarly journals Exact Analytical Solution for Two-Dimensional Heat Transfer Equation through a Packed Bed Reactor

2020 ◽  
Author(s):  
Mohammed Wassef Abdulrahman
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Transfer Equation ◽  
Exact Analytical Solution ◽  
Packed Bed ◽  
Packed Bed Reactor ◽  
Two Dimensional ◽  
Heat Transfer Equation

Boubaker Polynomials Expansion Scheme Solution to the Heat Transfer Equation Inside Laser Heated Biological Tissues

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
M. A. Aweda ◽  
M. Agida ◽  
M. Dada ◽  
O. B. Awojoyogbe ◽  
K. Isah ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Analytical Solution ◽  
Numerical Simulations ◽  
Laser Heating ◽  
Transfer Equation ◽  
Biological Tissues ◽  
Heat Transfer Equation ◽  
Boubaker Polynomials ◽  
Laser Heated ◽  
Expansion Scheme

In this study, an analytical solution to the heat transfer equation in biological tissues during laser heating is presented. The results were compared to recently published numerical simulations.

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 MULTICOMPONENT ITERATIVE METHOD FOR SOLVING TWO‐DIMENSIONAL HEAT TRANSFER EQUATION ON MOVING GRIDS

2000 ◽  
Vol 5 (1) ◽  
pp. 164-174
Author(s):  
S. Sytova
Keyword(s):  
Heat Transfer ◽  
Iterative Method ◽  
Transfer Equation ◽  
Nonlinear Parabolic Equations ◽  
Two Dimensional ◽  
Adaptive Grids ◽  
Heat Transfer Equation ◽  
Moving Grids ◽  
Nonlinear Parabolic ◽  
Mixed Derivatives

A multicomponent iterative method of domain decomposition on adaptive grids for solution of two‐dimensional heat transfer equation is proposed. The adaptive grid is constructed in curvilinear space where Cartesian grid is non‐stationary and depends on the solution behavior. In curvilinear space the initial two‐dimensional heat transfer equation is converted to the system of nonlinear parabolic equations with mixed derivatives, a source and convective transfer.

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.

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.

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