Optimization Design of Oven Shape Based on Heat Distribution Model

2020 ◽  
Vol 24 (4) ◽  
pp. 494-501
Author(s):  
Xueyong Yu ◽  
◽  
Weiran Lin ◽  
Jinling Wei ◽  
Shuoping Wang ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Optimization Design ◽  
Quantitative Model ◽  
The Other ◽  
Combination Method ◽  
Distribution Model ◽  
Utilization Rate ◽  
Heat Distribution ◽  
Different Shapes ◽  
The Finite Difference Method

We developed two models in this study: one to show the distribution of heat for pans of different shapes, and the other to select the best type of pan to maximize the number of pans that can fit in the oven and to maximize even heat distribution in the pans. We constructed a model of heat distribution. The uneven distribution of heat is mainly caused by heat conduction. We established a differential equation for heat conduction according to Fourier’s law. The finite-difference method and Gauss-Seidel iteration were used to solve the equation, and MATLAB was used to draw the corresponding heat-distribution chart. We built a quantitative model of the shape optimization with an evaluation equation. Using the permutation and combination method, we calculated the maximum number of pans and the utilization rate of area. Finally, we determined that the optimal pan type is a round square, which achieved the best state.

Study on Heat Distribution of Pans

2013 ◽  
Vol 821-822 ◽  
pp. 1398-1401
Author(s):  
Wang Yong Lv ◽  
Can Guo ◽  
Hui Qi Wang ◽  
Yun Ling
Keyword(s):  
Computer Simulation ◽  
Geometrical Property ◽  
Regular Polygon ◽  
Outer Edge ◽  
Distribution Model ◽  
Heat Distribution ◽  
Property A ◽  
Thermal Distribution ◽  
Different Shapes

During baking, rectangular pans often overcook the product and round pans can't make full use of the space of the oven. In this paper, two models are build to discuss the heat distribution and uniformity of different shapes pans. Initially build the heat uniformity Model. Through the analysis of the heat distribution and geometrical property, a formula is given to calculate the uniformity of regular polygon. In order to describe the heat uniformity of all kind of shape, the thermal distribution model is build to discuss the heat distribution of the bottom of different pans. By computer simulation, the temperature at the corners of the rectangular pan is the highest and the temperature across the outer edge of the round pan is even, which is consistent with reality.

Analysis of Heat Distributing to Ensure Energy Saving

2013 ◽  
Vol 724-725 ◽  
pp. 880-884
Author(s):  
Xiao Chang ◽  
Tian Chi Li ◽  
Yu Bo Xian ◽  
Xin Chao Zhao
Keyword(s):  
Heat Transfer ◽  
Differential Equation ◽  
Heat Conduction ◽  
Outer Edge ◽  
Heat Distribution ◽  
Order Partial Differential Equation ◽  
Conduction Model ◽  
Heat Transfer Theory ◽  
Different Shapes ◽  
Save Energy

In this paper, we present a mathematical model which aims to save energy of household appliances, take the brownie pan as example we take advantage of the heat conduction and draw the conclusion that the pan in shape with more edges has more even distribution of heat. In most cases, the shape of rectangle is the best choice to save energy when bake. In Heat conduction model, We raise a conception of doneness to accurately measure how hard the food is being baked, and we handle a second-order partial differential equation based on the heat transfer theory, considering both evenly heating vertically and heat transferring horizontally. We focus on the ratio of how well roasted the edges and the corners are shows the distribution of heat across the outer edge of a pan for pans of different shapes. The variance of all points heating level on the pan shows the evenness of the heat distribution.

scholarly journals Optimization design of thermal system for industrial waste heat power generation

2021 ◽  
Vol 261 ◽  
pp. 01047
Author(s):  
Fengchang Sun ◽  
Shiyue Li ◽  
Zhonghua Bai ◽  
Changhai Miao ◽  
Xiaochuan Deng ◽  
...  
Keyword(s):  
Power Generation ◽  
Industrial Waste ◽  
Optimization Design ◽  
Waste Heat ◽  
Design Method ◽  
Utilization Rate ◽  
Thermal System ◽  
Heat Power ◽  
Waste Heat Boiler ◽  
Industrial Waste Heat

In order to improve the utilization rate of industrial waste heat and improve the fine design level of waste heat power station, this paper constructs the mathematical model of waste heat boiler and steam turbine, and puts forward the optimization design method of thermal system of waste heat power generation project. By using typical cases, it is proved that there is the optimal design pressure of HRSG, which makes the power generation of the system maximum, and provides a method to improve the power generation of HRSG.

Mould cooling simulation for injection moulding using a fast boundary element method approach

2009 ◽  
Vol 224 (4) ◽  
pp. 653-662 ◽  
Author(s):  
H Zhou ◽  
Y Zhang ◽  
J Wen ◽  
S Cui
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Injection Moulding ◽  
Heat Conduction Problem ◽  
Solution Time ◽  
Combination Method ◽  
Dynamic Allocation ◽  
Actual Problem ◽  
Element Method

The existing cooling simulations for injection moulding are mostly based on the boundary element method (BEM). In this paper, a fast BEM approach for mould cooling analysis is developed. The actual problem is decoupled into a one-dimensional transient heat conduction problem within the thin part and a cycle-averaged steady state three-dimensional heat conduction problem of the mould. The BEM is formulated for the solution of the mould heat transfer problem. A dynamic allocation strategy of integral points is proposed when using the Gaussian integral formula to generate the BEM matrix. Considering that the full and unsymmetrical influence matrix of the BEM may lead to great storage space and solution time, this matrix is transformed into a sparse matrix by two methods: the direct rounding method or the combination method. This approximated sparsification approach can reduce the storage memory and solution time significantly. For validation, six typical cases with different element numbers are presented. The results show that the error of the direct rounding method is too large while that of the combination method is acceptable.

Optimization Design of Beam Based on Genetic Algorithm

2010 ◽  
Vol 163-167 ◽  
pp. 2365-2368 ◽  
Author(s):  
Shu Ling Qiao ◽  
Zhi Jun Han
Keyword(s):  
Genetic Algorithm ◽  
Objective Function ◽  
Linear Approximation ◽  
Approximation Method ◽  
Optimization Design ◽  
Mathematic Model ◽  
Processing Method ◽  
Fast Convergence ◽  
The Other ◽  
Linear Approximation Method

In this paper, determinate beam and indeterminate beam with multiple span are optimized by using genetic algorithm, the mathematic model of optimize beam is built and the processing method of constraint conditions is given. The examples show that the algorithm could be used for optimizing determinate structure, and also optimizing indeterminate structure. Compared to the linear approximation method, genetic algorithm has advantages of being simple, easy, fast convergence and has no use for changing the objective function and constraint conditions to linearity or other processing. Its results agree with linear approximation method’s. It is the other method that can be adopt in engineering field.

scholarly journals Shape Correspondence Analysis for Biomolecules Based on Volumetric Eigenfunctions

2015 ◽  
Vol 3 (1) ◽  
Author(s):  
Tao Liao ◽  
Hao-Chih Lee ◽  
Ge Yang ◽  
Yongjie Jessica Zhang
Keyword(s):  
Correspondence Analysis ◽  
Flexible Structures ◽  
Spectral Shape ◽  
The Other ◽  
Shape Deformation ◽  
Second Step ◽  
Analysis Method ◽  
Shape Correspondence ◽  
Dense Point ◽  
Different Shapes

AbstractThe functionality of biomolecules depends on their flexible structures, which can be characterized by their surface shapes. Tracking the deformation and comparing biomolecular shapes are essential in understanding their mechanisms. In this paper, a new spectral shape correspondence analysis method is introduced for biomolecules based on volumetric eigenfunctions. The eigenfunctions are computed from the joint graph of two given shapes, avoiding the sign flipping and confusion in the order of modes. An initial correspondence is built based on the distribution of a shape diameter, which matches similar surface features in different shapes and guides the eigenfunction computation. A two-step scheme is developed to determine the final correspondence. The first step utilizes volumetric eigenfunctions to correct the assignment of boundary nodes that disobeys the main structures. The second step minimizes the distortion induced by deforming one shape to the other. As a result, a dense point correspondence is constructed between the two given shapes, based on which we approximate and predict the shape deformation, as well as quantitatively measure the detailed shape differences.

Electrical Simulation Experiment and the Analysis of Thermal Conductivity of Materials

2014 ◽  
Vol 989-994 ◽  
pp. 599-602
Author(s):  
Wen Bo Li ◽  
Yin Gai Jin ◽  
Shuang Yin ◽  
Pei Yan Chen
Keyword(s):  
Thermal Conductivity ◽  
Heat Conduction ◽  
Simulation Experiment ◽  
Simulation Method ◽  
Measuring Method ◽  
Electrical Simulation ◽  
Conductive Plate ◽  
Electric Simulation ◽  
Unsteady Heat Conduction ◽  
Different Shapes

s: Jilin university innovation experiment Electrical Simulation Experiment and the Analysis of Thermal Conductivity of Materials aims to solve the problem of thermocouple measuring tenderness in error. Thermocouple is used to measure temperature when measuring unsteady heat conduction in laboratory. The improved measuring method of unsteady heat conduction puts the breakthrough on the electric simulation method. The text bench is constructed by different shapes of conductive plate which is made of the graphite conductive paint, and voltmeter is refitted by diodes and controlled transformer. Through the test bench, we finished the simulation of unsteady heat conduction under the similar thermal conductive boundary conditions. Finally, the error analysis of experiment and the advantages of electric simulation method are given in this paper.

Heat Conduction in Three Dimensional Stacked Packages

2005 ◽  
Author(s):  
Anand Desai ◽  
James Geer ◽  
Bahgat Sammakia
Keyword(s):  
Heat Conduction ◽  
Thermal Management ◽  
Heat Generation ◽  
Analytical Study ◽  
Three Dimensional ◽  
The Other ◽  
Heat Generation Rate ◽  
Potential Applications ◽  
Steady State Heat ◽  
Spatially Varying

This paper presents the results of an analytical study of steady state heat conduction in multiple rectangular domains. Any finite number of such domains may be considered in the current study. The thermal conductivity and thickness of these domains may be different. The entire geometry composed of these connected domains is considered as adiabatic on the lateral surfaces and can be subjected to uniform convective cooling at one end. The other end of the geometry may be adiabatic and a specified, spatially varying heat generation rate can be applied in each of the domains. The solutions are found to be in agreement with known solutions for simpler geometries. The analytical solution presented here is very general in that it takes into account the interface resistances between the layers. One application of this analytical study relates to the thermal management of a 3-D stack of devices and interconnect layers. Another possible application is to the study of hotspots in a chip stack with non uniform heat generation. Many other potential applications may also be simulated.

Glucose transporter protein responses to selective hyperglycemia or hyperinsulinemia in fetal sheep

2001 ◽  
Vol 281 (5) ◽  
pp. R1545-R1552 ◽  
Author(s):  
Marianne S. Anderson ◽  
Judy Flowers-Ziegler ◽  
Utpala G. Das ◽  
William W. Hay ◽  
Sherin U. Devaskar
Keyword(s):  
Glucose Transporter ◽  
Statistical Significance ◽  
Late Gestation ◽  
The Other ◽  
Utilization Rate ◽  
Fetal Sheep ◽  
Glut 1 ◽  
Transporter Protein ◽  
Glut 4 ◽  
Sustained Increase

The acute effect of selective hyperglycemia or hyperinsulinemia on late gestation fetal ovine glucose transporter protein (GLUT-1, GLUT-3, and GLUT-4) concentrations was examined in insulin-insensitive (brain and liver) and insulin-sensitive (myocardium and fat) tissues at 1, 2.5, and 24 h. Hyperglycemia with euinsulinemia caused a two- to threefold increase in brain GLUT-3, liver GLUT-1, and myocardial GLUT-1 concentrations only at 1 h. There was no change in GLUT-4 protein amounts at any time during the selective hyperglycemia. In contrast, selective hyperinsulinemia with euglycemia led to an immediate and persistent twofold increase in liver GLUT-1, which lasted from 1 until 24 h with a concomitant decline in myocardial tissue GLUT-4 amounts, reaching statistical significance at 24 h. No other significant change in response to hyperinsulinemia was noted in any of the other isoforms in any of the other tissues. Simultaneous assessment of total fetal glucose utilization rate (GURf) during selective hyperglycemia demonstrated a transient 40% increase at 1 and 2.5 h, corresponding temporally with a transient increase in brain GLUT-3 and liver and myocardial GLUT-1 protein amounts. In contrast, selective hyperinsulinemia led to a sustained increase in GURf, corresponding temporally with the persistent increase in hepatic GLUT-1 concentrations. We conclude that excess substrate acutely increases GURf associated with an increase in various tissues of the transporter isoforms GLUT-1 and GLUT-3 that mediate fetal basal glucose transport without an effect on the GLUT-4 isoform that mediates insulin action. This contrasts with the tissue-specific effects of selective hyperinsulinemia with a sustained increase in GURfassociated with a sustained increase in hepatic basal glucose transporter (GLUT-1) amounts and a myocardial-specific emergence of mild insulin resistance associated with a downregulation of GLUT-4.

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