scholarly journals A Review of Peridynamics (PD) Theory of Diffusion Based Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Migbar Assefa Zeleke ◽  
Mesfin Belayneh Ageze
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Two Dimensional ◽  
Numerical Examples ◽  
Transfer Processes ◽  
Recent Developments ◽  
Nonlocal Nature

The study of heat conduction phenomena using peridynamic (PD) theory has a paramount significance on the development of computational heat transfer. This is because PD theory has got an interesting feature to deal with the inherent nonlocal nature of heat transfer processes. Since the revolutionary work on PD theory by Silling (2000), extensive investigations have been devoted to PD theory. This paper provides a survey on the recent developments of PD theory mainly focusing on diffusion based peridynamic (PD) formulation. Both the bond-based and state-based PD formulations are revisited, and numerical examples of two-dimensional problems are presented.

scholarly journals Studying heat conduction in a sphere considering hybrid fractional derivative operator

2021 ◽  
pp. 332-332
Author(s):  
Abass Kader ◽  
Mohamed Latif ◽  
Dumitru Baleanu
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Fractional Derivative ◽  
Dirichlet Boundary ◽  
Closed Form Solution ◽  
Form Solution ◽  
Heat Absorption ◽  
Derivative Operator ◽  
Numerical Examples ◽  
Fractional Heat Equation

In this paper, the fractional heat equation in a sphere with hybrid fractional derivative operator is investigated. The heat conduction is considered in the case of central symmetry with heat absorption. The closed form solution in the form of three parameter Mittag-Leffler function is obtained for two Dirichlet boundary value problems. The joint finite sine Fourier-Laplace transform is used for solving these two problems. The dynamics of the heat transfer in the sphere is illustrated through some numerical examples and figures.

Influence of Brazing on the Heat Transfer Performance of Fins in Radiators

2000 ◽  
Author(s):  
Bengt Sundén ◽  
Andreas Abdon ◽  
Daniel Eriksson
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Detrimental Effect ◽  
Heat Transfer Performance ◽  
Transfer Performance ◽  
Two Dimensional ◽  
Air Gaps ◽  
One Dimensional ◽  
Temperature Distributions ◽  
Braze Joint

Abstract The performance of a radiator copper fin is considered as the braze joint between the fin and the brass tube is not perfect. The influence of different thermophysical properties of the brazing materials, created intermetallic compounds and possible air gaps is considered. Numerical methods for both two-dimensional and one-dimensional calculations have been developed. The finite volume technique is applied and in the two-dimensional case, boundary fitted coordinates are used. Heat conduction in the fin and braze joint coupled with convective heat transfer in a gas stream is analysed. Results in terms of fin temperature distributions and fin efficiencies are provided. It is found that the detrimental effect of a poor braze joint is not as large as reported previously in the literature.

scholarly journals Steady-Periodic Green’s Functions and Thermal-Measurement Applications in Rectangular Coordinates

2005 ◽  
Author(s):  
Kevin D. Cole
Keyword(s):  
Heat Transfer ◽  
Green's Functions ◽  
Green’S Functions ◽  
Two Dimensional ◽  
Thermal Measurement ◽  
Numerical Examples ◽  
Independent Verification ◽  
Rectangular Coordinates ◽  
Alternate Forms ◽  
Periodic Heat

Two-dimensional steady-periodic heat transfer in rectangles, slabs, and semi-infinite bodies is treated with the method of Green’s functions. The application is the measurement of thermal properties. Several types of boundary conditions are treated systematically, including convection conditions and boundaries containing a thin, high-conductivity film. Alternate forms of the Green’s function are given for several geometries, which allow for independent verification of numerical values. The method may be extended to multilayer bodies. Numerical examples are given for the steady-periodic response to a strip heater.

scholarly journals 2D Model of Transfer Processes for Water Boiling Flow in Microchannel

2021 ◽  
Vol 5 (3) ◽  
pp. 42
Author(s):  
Valery A. Danilov ◽  
Christian Hofmann ◽  
Gunther Kolb
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Temperature Profiles ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Transfer Processes ◽  
Two Dimensional Model ◽  
Boiling Flow ◽  
Homogeneous Mixture Model ◽  
2D Model

The modeling of transfer processes is a step in the generalization and interpretation of experimental data on heat transfer. The developed two-dimensional model is based on a homogeneous mixture model for boiling water flow in a microchannel with a new evaporation submodel. The outcome of the simulation is the distribution of velocity, void fraction and temperature profiles in the microchannel. The predicted temperature profile is consistent with the experimental literature data.

Sign in / Sign up

Export Citation Format

Share Document