Topology Optimization for Diffusive Heat Transfer in a Domain with Internal Heat Generation using Optimality Criteria

2019 ◽  
Vol 11 (4) ◽  
Author(s):  
T. Anupkumar ◽  
Noble Sharma ◽  
A. Srinath ◽  
G. Satya Dileep
Keyword(s):  
Heat Transfer ◽  
Topology Optimization ◽  
Objective Function ◽  
Heat Dissipation ◽  
Heat Conduction Problem ◽  
Internal Heat ◽  
Computation Time ◽  
Optimality Criteria ◽  
Gradient Field ◽  
Optimal Topology

The standard volume to point heat conduction problem is used to determine the optimal topology that maximises the heat transfer. Unlike the constructed theory, the present investigation considers heat dissipation potential function as the objective function, whose gradient field is taken as the criterion for allocation of the limited amount of high conductivity material over the domain. The considered domain is rectangular in geometry, where all its sides are insulated except a centrally located patch on one of the sides, which is maintained at a constant temperature. FEM is used to compute the temperature and it is supplied to the topology optimization algorithm to determine the distribution of material with varied thermal conductivity over the domain. Grid independency is performed for five different grid sizes varying from 10x10 to 90x90. The variation of computation time and objective function with mesh refinement is reported.

scholarly journals The Heat-Dissipation and Dehumidification System of the Hybrid Multi-Layer Gravity Heat Pipe Applied to Granary

2019 ◽  
Vol 13 (8) ◽  
pp. 76
Author(s):  
Guoyong Su ◽  
Yu Wu ◽  
Wei Gao
Keyword(s):  
Heat Transfer ◽  
Heat Pipe ◽  
Heat Dissipation ◽  
Internal Heat ◽  
Internal Temperature ◽  
Transfer Mode ◽  
Working Principle ◽  
Booster Fan ◽  
Working Efficiency ◽  
Dissipation System

Based on the basic working principle and heat transfer characteristics of gravity heat pipe in combination with the grain stack particle's stacking characteristics, this study changes the structure of traditional heat pipe to change the heat transfer mode between the grain stack and the gravity heat pipe so as to improve the grain's heat-dissipation rate and heat-dissipation efficiency. Generally, this system can satisfy the internal heat dissipation requirements of grain stack only under the action of a non-power fan driven by the air in the atmosphere and the temperature difference between inside and outside of the fan. When the internal temperature sensor of the grain stack detects that the internal temperature of the grain stack is high only under the action of the non-power fan, the pipeline booster fan will be started. At the same time, when the gas exchange occurs between the internal gas in grain stack and the external air, the dehumidification and drying of the grain stack can be realized through the gas drying device of the product. Through theory and simulation, this paper conducts a comparative analysis on the variation law of grain stack's temperatures under the action of gravity heat pipe and no gravity heat pipe so as to explore the heat-dissipation system's working efficiency of the new structure gravity heat pipe. The gravity heat pipe and the non-power fan in the system are all green products, which makes this design product have better heat-dissipation effect and less energy consumption.

Thermal Model of the Package Integrated Cyclone COoler (PICCO): Achieving High Thermal Conductance Using Swirled Two-Phase Flow

2020 ◽  
Author(s):  
Rinaldo L. Miorini ◽  
Darin J. Sharar ◽  
Peter deBock
Keyword(s):  
Heat Transfer ◽  
Heat Dissipation ◽  
Heat Conduction Problem ◽  
Thermal Conductance ◽  
Radial Pressure ◽  
High Heat ◽  
Phase System ◽  
Two Phase ◽  
Radial Acceleration ◽  
Us Army

Abstract The demand for high power density, therefore high heat dissipation, power electronics modules is propelled by applications such as hybrid transportation and asynchronous power generation, among others. Besides a low thermal resistance, these applications require high thermal capacitance to manage transient operations. The Package Integrated Cyclone COoler (PICCO) is an additively manufactured, thermal energy storing cooler codesigned by GE Research (GRC) in collaboration with the US Army Research Lab (ARL). The key aspect of PICCO is its capability to swirl a two-phase coolant, i.e. liquid-gas. The centrifugal field creates a radial pressure gradient inducing buoyancy. The strong radial acceleration to which the fluid is subject forces relatively cold flow outward to reach the hot wall, thus boosting the heat transfer, while hot flow and bubbles migrate inward and the two-phase system is nearly isothermal (thermal storage). The proposed study models the swirled flow in terms of liquid film heat conductance and critical heat flux predictions. The resulting heat transfer coefficient can be applied to the walls of the cyclone and used as a boundary condition for the heat conduction problem through the cyclone wall and the module layers.

scholarly journals Parametric Level Set-Based Multimaterial Topology Optimization of Heat Conduction Structures

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
Yadong Shen ◽  
Jianhu Feng
Keyword(s):  
Topology Optimization ◽  
Heat Conduction ◽  
Objective Function ◽  
Level Set ◽  
Heat Dissipation ◽  
Adjoint Method ◽  
Basis Functions ◽  
Expansion Coefficients ◽  
Quadratic Temperature ◽  
Moving Asymptotes

This paper presents a parametric level set-based method (PLSM) for multimaterial topology optimization of heat conduction structures with volume constraints. A parametric level set-based optimization model of heat conduction structures is built with multimaterial level set (MM-LS) model, which describes the boundaries of different materials by the combination of all level set functions. The heat dissipation efficiency which means the quadratic temperature gradient is conducted as the objective function. The adjoint method is utilized to calculate the sensitivities of the objective function with respect to expansion coefficients of the compactly supported radial basis functions (CSRBFs). The optimal configuration is achieved by updating the expansion coefficients gradually with the method of moving asymptotes (MMA). Several numerical examples are discussed to demonstrate effectiveness of the proposed method for multimaterial topology optimization of heat conduction structures.

Design of Compliant Mechanisms for Amplification of Induced Strain Actuators

1999 ◽  
Author(s):  
Shawn Canfield ◽  
Mary I. Frecker
Keyword(s):  
Topology Optimization ◽  
Compliant Mechanisms ◽  
Compliant Mechanism ◽  
Design Procedure ◽  
Computation Time ◽  
Mechanical Efficiency ◽  
Optimality Criteria ◽  
Optimization Approach ◽  
Detail Design ◽  
Problem Formulations

Abstract The focus of this paper is on designing compliant mechanism amplifiers for piezoelectric actuators using a topology optimization approach. Two optimization formulations are developed: one in which the overall stroke amplification or geometric advantage (GA) is maximized, and another where the mechanical efficiency (ME) of the amplifier is maximized. Two solution strategies are used, Sequential Linear Programming (SLP) and an Optimality Criteria method, and results are compared with respect to computation time and mechanism performance. Design examples illustrate the characteristics of both problem formulations, and physical prototypes have been fabricated as proof of concept. An automated detail design procedure has also been developed which allows the topology optimization results obtained in MATLAB to be directly translated into a neutral 3-D solid geometry format for import into other CAE programs.

Boundary Slope Control in Topology Optimization for Additive Manufacturing

2018 ◽  
Author(s):  
Cunfu Wang ◽  
Xiaoping Qian ◽  
William D. Gerstler ◽  
Jeff Shubrooks
Keyword(s):  
Heat Transfer ◽  
Surface Roughness ◽  
Topology Optimization ◽  
Additive Manufacturing ◽  
Density Gradient ◽  
Heat Conduction Problem ◽  
Transfer Efficiency ◽  
Optimization Approach ◽  
Heat Transfer Efficiency ◽  
Boundary Slope

The paper studies how to control boundary slope of optimized parts in density-based topology optimization for additive manufacturing (AM). Boundary slope of a part affects the amount of support structure required during its fabrication by additive processes. Boundary slope also has direct relation with the resulting surface roughness from the AM processes, which in turn affects the heat transfer efficiency. By constraining the minimal boundary slope, support structures can be eliminated or reduced for AM, and thus material and post-processing costs are reduced; by constraining the maximal boundary slope, high surface roughness can be attained, and thus the heat transfer efficiency is increased. In this paper, the boundary slope is controlled through a constraint between the density gradient and the given build direction. This allows us to explicitly control the boundary slope through density gradient in the density-based topology optimization approach. We control the boundary slope through a single global constraint. Numerical examples on heat conduction problem, and coupled 2D and 3D thermoelastic problems demonstrate the effectiveness and efficiency of the proposed formulation in controlling boundary slopes for additive manufacturing.

Research on Topology Optimization Method for Continuum Structure under Geometric Constraints

2011 ◽  
Vol 291-294 ◽  
pp. 1589-1592
Author(s):  
Li Ren ◽  
Rui Yang ◽  
Wen Xiao Zhang
Keyword(s):  
Topology Optimization ◽  
Shape Optimization ◽  
Objective Function ◽  
Optimization Technique ◽  
Optimization Method ◽  
Geometric Constraints ◽  
Optimization Process ◽  
Optimal Topology ◽  
Penalty Function Method ◽  
Continuum Structure

A new topology optimization model with holes’ geometric constraints for continuum structure is presented. It is solved by an evolutionary optimization method based on interval relaxation, in which the problem is divided into two subproblems of topology optimization process and size/shape optimization process. The optimal topology of structure can be found gradually by introducing interval relaxation factor to adjust holes’ size constraints, delete noneffective holes and by generating new holes based on the sensitivity analysis of objective function. Interior penalty-function method is employed as an optimization technique for the size/shape optimization of the structure corresponding to the topology. When the holes’ size bounds are the actual values, the optimal solution is the smallest objective function structure in the various topologies. Thus realizes the holes’ geometric size and location design, topology design and layout design together. The optimization results of example shows the method proposed is of good effectiveness and engineering applicability.

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