A mixed isogeometric analysis and control volume approach for heat transfer analysis of nonuniformly heated plates

This work presents temperature and degree of cure profiles within a pultruded composite and focuses on the development of different models used for predicting the velocity profile including a slip velocity model. This study uses a variable viscosity model and highlights the results for the velocity profile, viscosity of resin within a pultrusion die, gelation lengths, iso-gelation lines, and axial pressure profile. Gelation was predicted to occur at about one-third the distance down the die length and the degree of cure at gelation was computed to be about 0.34. The composite systems considered in this study are graphite/epoxy and fiberglass/epoxy. A comprehensive two-dimensional mathematical model in cylindrical coordinates was developed for resin flow, cure and heat transfer associated with the pultrusion process. A control-volume-based finite difference method (Patankar method) was used for solving the governing equations. The model can be utilized for ascertaining the effects of pultrusion process variables on the characteristics of the cured composite; this primarily reduces to a large extent the trial and error experimentation often required. Moreover, insight for characterization and optimization of the pultrusion process is a direct result of this modeling.

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Mixed convection in a channel partially filled with metal foam blocks

MATEC Web of Conferences ◽

10.1051/matecconf/202033001044 ◽

2020 ◽

Vol 330 ◽

pp. 01044

Author(s):

Syrine Khadhrawi ◽

Fakhreddine Segni Oueslati ◽

Rachid Bennacer

Keyword(s):

Heat Transfer ◽

Mixed Convection ◽

Metal Foam ◽

Control Volume ◽

Velocity Fields ◽

Flow Structures ◽

Thermal Conductivity Ratio ◽

Control Parameters ◽

Energy Equations ◽

Control Volume Approach

The present work is a numerical simulation of the mixed convection of an incompressible fluid in a horizontal channel under sun radiation partially filled with metal foam blocks. The Darcy-Brinkman model is adopted. The control volume approach is used to solve the motion and energy equations governing mixed convection. The study focuses on the effect of certain control parameters such as the Rayleigh number (Ra), the thermal conductivity ratio and the porosity on the flow structure and heat transfer. Indeed, the results for flow structures and temperature distribution are presented in the form of velocity fields with streamtraces and isotherms, while the average Nusselt number (Nu) is used to quantify heat transfer.

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A Reduced Dimension Finite Volume Method for Radiative Heat Transfer in Axisymmetrical Cylinders

Volume 4 ◽

10.1115/ht-fed2004-56235 ◽

2004 ◽

Author(s):

Weixue Tian ◽

Wilson K. S. Chiu

Keyword(s):

Heat Transfer ◽

Finite Volume Method ◽

Finite Volume ◽

Radiative Heat Transfer ◽

Radiative Heat ◽

Control Volume ◽

Heat Transfer Analysis ◽

Radiative Energy ◽

Conductive Heat ◽

Volume Method

This paper presents a modified scheme to analyze the radiative heat transfer in axisymmetrical enclosures using the finite volume method. The modified scheme is derived from the conservation of radiative energy in an infinitely thin slice of an axisymmetrical cylinder. Therefore, the final discretized equations are based on a two-dimensional mesh in the spatial domain, and similar to meshes used for convective and conductive heat transfer analysis. The control angle overlap problem caused by misalignment of solid angles with control volume faces in the angular direction is eliminated. Error caused by the control volume face curvature is also eliminated. Comparison of results for several demonstration cases with literature yields satisfactory results.

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Natural Convection in Cylindrical Configuration: Effect of the Obstacle on the Unsteadiness

Materials: Processing, Characterization and Modeling of Novel Nano-Engineered and Surface Engineered Materials ◽

10.1115/imece2002-33828 ◽

2002 ◽

Author(s):

K. Choukairy ◽

R. Bennacer ◽

P. D. Matthey ◽

R. Duval

Keyword(s):

Heat Transfer ◽

Natural Convection ◽

Molecular Diffusion ◽

Control Volume ◽

Boussinesq Approximation ◽

Density Variation ◽

Necessary Condition ◽

Thermal Transfer ◽

The One ◽

Control Volume Approach

The heat transfer by natural convection are frequently used in the various processes and are also met in various situation in nature. In order to improve these kind of heat transfer, it’s possible to disturb the flow of origin by an obstacle along the way of the principal flow. This obstacle modifies on the one hand the structure of the flow and affects the local transfers. On the other hand, it allows the transition towards and obtaining a macroscopic contribution (eddy) in complement of the microscopic transfer (molecular diffusion). The effect of an obstacle on the thermal transfer, was previously studied and we purpose to complete such studies in transitional domain. The obtained non-stationary natural convection is analysed. A study is carried out by considering the transient resolution (DNS) of such problem in two-dimensional configuration. The density variation is taken into account by the boussinesq approximation. The control-volume approach is used for solving the governing equation. The temporal variation of Nusselt and energy is given with and without obstacle. We illustrate the necessary condition in order to improve the transfer in such configuration. The effect of height and width of the inserted body is systematically analysed.

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