Finite Difference Methods in Heat Transfer
20 Jul 2017-
TL;DR: Finite Difference Methods in Heat Transfer as mentioned in this paper presents a step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications.
Abstract: Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields Fundamental concepts are introduced in an easy-to-follow mannerRepresentative examples illustrate the application of a variety of powerful and widely used finite difference techniques The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions
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TL;DR: In this article, the influence of enhancement techniques on the thermal response of the PCM in terms of phase change rate and amount of latent heat stored/retrieved has been addressed as a main aspect.
Abstract: Phase change material (PCM) based latent heat thermal storage (LHTS) systems offer a challenging option to be employed as an effective energy storage and retrieval device. The performance of LHTS systems is limited by the poor thermal conductivity of PCMs employed. Successful large-scale utilization of LHTS systems thus depends on the extent to which the performance can be improved. A great deal of work both experimental and theoretical on different performance enhancement techniques has been reported in the literature. This paper reviews the implementation of those techniques in different configurations of LHTS systems. The influence of enhancement techniques on the thermal response of the PCM in terms of phase change rate and amount of latent heat stored/retrieved has been addressed as a main aspect. Issues related to mathematical modeling of LHTS systems employing enhancement techniques are also discussed.
608 citations
TL;DR: In this paper, the authors present a review on various techniques of heat transfer enhancement in latent heat thermal energy storage (LHTES) systems, which can be achieved through either geometric configuration and/or thermal conductivity enhancement.
Abstract: This paper presents a state-of-the-art review on various techniques of heat transfer enhancement in latent heat thermal energy storage (LHTES) systems. Heat transfer enhancement in LHTES systems can be achieved through either geometric configuration and/or thermal conductivity enhancement. The use of extended surfaces such as fins or heat pipes is a common technique for heat transfer enhancement in LHTES systems and therefore, reviewed in details in this paper. Next, we studied the thermal conductivity enhancement techniques, which include the use of porous materials, nanoparticles with high thermal conductivity, and low-density materials. Finally, studies involving combined techniques for heat transfer enhancement are reviewed in the paper. The paper discusses research gaps in the methods of heat transfer enhancement for LHTES systems and proposed some recommendations.
403 citations
07 Nov 2010
TL;DR: 3D-ICE, a compact transient thermal model (CTTM) for the thermal simulation of 3D ICs with multiple inter-tier microchannel liquid cooling, is presented, which offers significant speed-up over a typical commercial computational fluid dynamics simulation tool while preserving accuracy.
Abstract: Three dimensional stacked integrated circuits (3D ICs) are extremely attractive for overcoming the barriers in interconnect scaling, offering an opportunity to continue the CMOS performance trends for the next decade. However, from a thermal perspective, vertical integration of high-performance ICs in the form of 3D stacks is highly demanding since the effective areal heat dissipation increases with number of dies (with hotspot heat fluxes up to 250W/cm2) generating high chip temperatures. In this context, inter-tier integrated microchannel cooling is a promising and scalable solution for high heat flux removal. A robust design of a 3D IC and its subsequent thermal management depend heavily upon accurate modeling of the effects of liquid cooling on the thermal behavior of the IC during the early stages of design. In this paper we present 3D-ICE, a compact transient thermal model (CTTM) for the thermal simulation of 3D ICs with multiple inter-tier microchannel liquid cooling. The proposed model is compatible with existing thermal CAD tools for ICs, and offers significant speed-up (up to 975x) over a typical commercial computational fluid dynamics simulation tool while preserving accuracy (i.e., maximum temperature error of 3.4%). In addition, a thermal simulator has been built based on 3D-ICE, which is capable of running in parallel on multicore architectures, offering further savings in simulation time and demonstrating efficient parallelization of the proposed approach.
296 citations
TL;DR: In this paper, the phase change phenomena of PCM inside the capsules are analyzed by using enthalpy method, and the results obtained are used for the thermal performance analysis of both charging and discharging processes.
Abstract: This paper is aimed at analyzing the behavior of a packed bed latent heat thermal energy storage system. The packed bed is composed of spherical capsules filled with paraffin wax as PCM usable with a solar water heating system. The model developed in this study uses the fundamental equations similar to those of Schumann, except that the phase change phenomena of PCM inside the capsules are analyzed by using enthalpy method. The equations are numerically solved, and the results obtained are used for the thermal performance analysis of both charging and discharging processes. The effects of the inlet heat transfer fluid temperature (Stefan number), mass flow rate and phase change temperature range on the thermal performance of the capsules of various radii have been investigated. The results indicate that for the proper modeling of performance of the system the phase change temperature range of the PCM must be accurately known, and should be taken into account.
291 citations
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TL;DR: In this paper, a detailed one dimensional numerical heat transfer analysis of a solar parabolic trough collector is performed, where the receiver and envelope are divided into several segments and mass and energy balance are applied in each segment.
Abstract: Solar Parabolic Trough Collectors (PTCs) are currently used for the production of electricity and applications with relatively higher temperatures. A heat transfer fluid circulates through a metal tube (receiver) with an external selective surface that absorbs solar radiation reflected from the mirror surfaces of the PTC. In order to reduce the heat losses, the receiver is covered by an envelope and the enclosure is usually kept under vacuum pressure. The heat transfer and optical analysis of the PTC is essential to optimize and understand its performance under different operating conditions. In this paper a detailed one dimensional numerical heat transfer analysis of a PTC is performed. The receiver and envelope were divided into several segments and mass and energy balance were applied in each segment. Improvements either in the heat transfer correlations or radiative heat transfer analysis are presented as well. The partial differential equations were discretized and the nonlinear algebraic equations were solved simultaneously. Finally, to validate the numerical results, the model was compared with experimental data obtained from Sandia National Laboratory (SNL) and other one dimensional heat transfer models. Our results showed a better agreement with experimental data compared to other models.
291 citations