Anisotropic Behavior of Different Three-Dimensional Structures Materials under Thermal Stress Effect

2019 ◽  
Vol 297 ◽  
pp. 95-104
Author(s):  
Sihem Bouzid ◽  
Nacer Hebbir ◽  
Yamina Harnane
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Three Dimensional ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Equation System ◽  
Stress Effect ◽  
Field Calculation ◽  
Heat Transfer Theory ◽  
The Galerkin Method

This work concerns the numerical modeling of stationary conduction heat transfer in a 3D three-dimensional anisotropic material subjected to an internal heat source, based on the finite element method MEF and using the Galerkin method. The field of study is a cube representing the seven crystalline systems subjected to an internal heat source and convective boundaries. The obtained equation system is solved by the LU method. The automatic mesh is managed for all the domain nodes via the program which we have written in FORTRAN language. This program allowed temperature field calculation and was applied for different crystalline systems: monoclinic, triclinic, orthorhombic, trigonal, cubic that are identified by their thermal conductivity tensors [kij]. The obtained temperature profiles obtained are in accordance with heat transfer theory and clearly illustrate the crystalline structure symmetry; this calculation permits to predict the possible thermal deformations in an anisotropic solid.

scholarly journals Effect of Thermal Radiation on the Conjugate Heat Transfer from a Circular Cylinder with an Internal Heat Source in Laminar Flow

2021 ◽  
Author(s):  
Gheorghe Juncu
Keyword(s):  
Heat Transfer ◽  
Circular Cylinder ◽  
Heat Source ◽  
Thermal Radiation ◽  
Conjugate Heat Transfer ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Cylinder Surface ◽  
Model Equations ◽  
The Mathematical Model

The effect of thermal radiation on the two – dimensional, steady-state, conjugate heat transfer from a circular cylinder with an internal heat source in steady laminar crossflow is investigated in this work. P0 (Rosseland) and P1 approximations were used to model the radiative transfer. The mathematical model equations were solved numerically. Qualitatively, P0 and P1 approximations show the same effect of thermal radiation on conjugate heat transfer; the increase in the radiation – conduction parameter decreases the cylinder surface temperature and increases the heat transfer rate. Quantitatively, there are significant differences between the results provided by the two approximations.

CFD-Based Correlation for Forced Convection Heat Transfer in Circular Ducts of Internally Heated Molten Salts

2018 ◽  
Author(s):  
Francesco Di Lecce ◽  
Sandra Dulla ◽  
Piero Ravetto ◽  
Antonio Cammi ◽  
Stefano Lorenzi ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Molten Salt ◽  
Molten Salts ◽  
Convection Heat Transfer ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Industrial Applications ◽  
Chemical Plants ◽  
Corrective Factor

Heat transfer phenomena involving internally heated fluid flows are of particular interest in several industrial applications, in chemical plants as in the nuclear field. This topic is relevant for the development of the Molten Salt Reactors (MSRs) since it involves the safety characteristics of the liquid molten salt fuel. In the literature, there is a lack of systematic studies on the heat transfer mechanism and correlations for flows in ducts featuring an internal heat source, apart from some analytical studies performed in Fiorina et al., “Thermal-hydraulics of internally heated molten salts and application to the MSFR”, Journal of physics, Conference series 501 (2014). In this work, the Nusselt number is computed multiplying the traditional Nu for internal flows times a corrective factor to account for the internal heat source. As a main outcome of this work, it is possible to obtain a CFD-based improved estimate of the corrective factor correlation for turbulent flow regime with respect to the work by Fiorina. The numerical CFD analysis is performed with the open source code Open FOAM. Despite its simplicity, the method is general and applicable for any geometrical and thermal situations.

scholarly journals Solvability of the Boussinesq Approximation for Water Polymer Solutions

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 611 ◽  
Author(s):  
Mikhail A. Artemov ◽  
Evgenii S. Baranovskii
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Three Dimensional ◽  
Viscous Flows ◽  
Boussinesq Approximation ◽  
Robin Boundary Condition ◽  
Flow Domain ◽  
The Galerkin Method ◽  
Robin Boundary ◽  
Dimensional Domain

We consider nonlinear Boussinesq-type equations that model the heat transfer and steady viscous flows of weakly concentrated water solutions of polymers in a bounded three-dimensional domain with a heat source. On the boundary of the flow domain, the impermeability condition and a slip condition are provided. For the temperature field, we use a Robin boundary condition corresponding to the classical Newton law of cooling. By using the Galerkin method with special total sequences in suitable function spaces, we prove the existence of a weak solution to this boundary-value problem, assuming that the heat source intensity is bounded. Moreover, some estimates are established for weak solutions.

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