Leveling out interface temperature for conjugate heat transfer problems

Purpose The present study aims to perform inverse analysis of a conjugate heat transfer problem including conduction and forced convection via the quasi-Newton method. The inverse analysis is defined for a heat source that is surrounded by a solid medium which is exposed to a free stream in external flow. Design/methodology/approach The objective of the inverse design problem is finding temperature distribution of the heat source as thermal boundary condition to establish a prescribed temperature along the interface of solid body and fluid. This problem is a simplified version of thermal-based ice protection systems in which the formation of ice is avoided by maintaining the interface of fluid and solid at a specified temperature. Findings The effects of the different pertinent parameters such as Reynolds number, interface temperature and thermal conductivity ratio of fluid and solid mediums are analyzed. Originality/value This paper fulfils the analysis to study how thermal based anti-icing system can be used with different heat source shapes.

Download Full-text

THE GALERKIN METHOD SOLUTION OF THE CONJUGATE HEAT TRANSFER PROBLEMS FOR THE CROSS-FLOW CONDITIONS

Proceeding of Thermal Sciences 2004. Proceedings of the ASME - ZSIS International Thermal Science Seminar II ◽

10.1615/ichmt.2004.intthermscisemin.1210 ◽

2004 ◽

Author(s):

Andrej Horvat ◽

Borut Mavko ◽

Ivan Catton

Keyword(s):

Heat Transfer ◽

Galerkin Method ◽

Conjugate Heat Transfer ◽

Cross Flow ◽

Flow Conditions ◽

The Cross ◽

The Galerkin Method ◽

Transfer Problems

Download Full-text

Conjugate heat transfer performance of stepped lid-driven cavity with Al2O3/water nanofluid under forced and mixed convection

SN Applied Sciences ◽

10.1007/s42452-021-04592-7 ◽

2021 ◽

Vol 3 (6) ◽

Author(s):

Naveen Janjanam ◽

Rajesh Nimmagadda ◽

Lazarus Godson Asirvatham ◽

R. Harish ◽

Somchai Wongwises

Keyword(s):

Heat Transfer ◽

Thermal Conductivity ◽

Mixed Convection ◽

Conjugate Heat Transfer ◽

Heat Transfer Performance ◽

Pure Water ◽

Interface Temperature ◽

Transfer Model ◽

Transfer Performance ◽

Driven Cavity

AbstractTwo-dimensional conjugate heat transfer performance of stepped lid-driven cavity was numerically investigated in the present study under forced and mixed convection in laminar regime. Pure water and Aluminium oxide (Al2O3)/water nanofluid with three different nanoparticle volume concentrations were considered. All the numerical simulations were performed in ANSYS FLUENT using homogeneous heat transfer model for Reynolds number, Re = 100 to 500 and Grashof number, Gr = 5000, 13,000 and 20,000. Effective thermal conductivity of the Al2O3/water nanofluid was evaluated by considering the Brownian motion of nanoparticles which results in 20.56% higher value for 3 vol.% Al2O3/water nanofluid in comparison with the lowest thermal conductivity value obtained in the present study. A solid region made up of silicon is present underneath the fluid region of the cavity in three geometrical configurations (forward step, backward step and no step) which results in conjugate heat transfer. For higher Re values (Re = 500), no much difference in the average Nusselt number (Nuavg) is observed between forced and mixed convection. Whereas, for Re = 100 and Gr = 20,000, Nuavg value of mixed convection is 24% higher than that of forced convection. Out of all the three configurations, at Re = 100, forward step with mixed convection results in higher heat transfer performance as the obtained interface temperature is lower than all other cases. Moreover, at Re = 500, 3 vol.% Al2O3/water nanofluid enhances the heat transfer performance by 23.63% in comparison with pure water for mixed convection with Gr = 20,000 in forward step.

Download Full-text

Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.07.029 ◽

2019 ◽

Vol 357 ◽

pp. 112560

Author(s):

Ricardo Costa ◽

João M. Nóbrega ◽

Stéphane Clain ◽

Gaspar J. Machado

Keyword(s):

Heat Transfer ◽

Finite Volume ◽

Conjugate Heat Transfer ◽

High Order ◽

Finite Volume Scheme ◽

Polygonal Mesh ◽

Volume Scheme ◽

Transfer Problems ◽

Very High

Download Full-text

Uncoupling the Conjugate Heat Transfer Problem in a Horizontal Plate Under the Influence of a Laminar Flow

Heat Transfer, Volume 1 ◽

10.1115/imece2003-41378 ◽

2003 ◽

Author(s):

Ricardo S. Va´squez ◽

Antonio J. Bula

Keyword(s):

Heat Transfer ◽

Nusselt Number ◽

Conjugate Heat Transfer ◽

Energy Equation ◽

Transfer Problem ◽

Heat Transfer Problem ◽

Interface Temperature ◽

Horizontal Plate ◽

Steady State Condition ◽

Heated Body

The conjugate heat transfer process of cooling a horizontal plate in steady state condition is studied. The model considers both solid and fluid regions in Cartesian coordinates. The problem was solved analytically, considering the fluid flowing in a laminar condition and hydrodynamically developed before any interaction with the heated body. The height of the fluid considered was enough to allow the generation of a thermal boundary layer without any restriction. The conservation of mass, momentum and energy equations were considered to turn the problem into a non dimensional form. The heated body presented a constant heat flux at the bottom side, and convective heat transfer at the top side in contact with the fluid. The other two boundary conditions are adiabatic. The energy equation was considered in the solid to turn it into a non dimensional form. The interface temperature was obtained from a regression using the Chebyshev polynomial approximation. As the problem deals with the cooling of a electronics components, the solution presents the mathematical solution of the energy equation for the solid, including the isothermal lines. The non dimensional form allows a thorough analysis of the problem, considering the influence of the different parameters in the conjugate heat transfer problem. The solution is compared with numerical solution of different problems, and the parameters considered are Reynolds number, plate thickness, Prandtl number, and solid thermal conductivity. The results obtained present isothermal lines, local Nusselt number, and average Nusselt number.

Download Full-text

A Meshless Finite Difference Method for Conjugate Heat Conduction Problems

Volume 2: Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Computational Heat Transfer ◽

10.1115/ht2009-88098 ◽

2009 ◽

Author(s):

Chandrashekhar Varanasi ◽

Jayathi Y. Murthy ◽

Sanjay Mathur

Keyword(s):

Heat Transfer ◽

Heat Conduction ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Conjugate Heat Transfer ◽

Sparse Matrix ◽

Complex Geometries ◽

Meshless Finite Difference Method ◽

Transfer Problems

In recent years, there has been a great deal of interest in developing meshless methods for computational fluid dynamics (CFD) applications. In this paper, a meshless finite difference method is developed for solving conjugate heat transfer problems in complex geometries. Traditional finite difference methods (FDMs) have been restricted to an orthogonal or a body-fitted distribution of points. However, the Taylor series upon which the FDM is based is valid at any location in the neighborhood of the point about which the expansion is carried out. Exploiting this fact, and starting with an unstructured distribution of mesh points, derivatives are evaluated using a weighted least squares procedure. The system of equations that results from this discretization can be represented by a sparse matrix. This system is solved with an algebraic multigrid (AMG) solver. The implementation of Neumann, Dirichlet and mixed boundary conditions within this framework is described, as well as the handling of conjugate heat transfer. The method is verified through application to classical heat conduction problems with known analytical solutions. It is then applied to the solution of conjugate heat transfer problems in complex geometries, and the solutions so obtained are compared with more conventional unstructured finite volume methods. Metrics for accuracy are provided and future extensions are discussed.

Download Full-text