scholarly journals On using the minimum energy dissipation to estimate the steady-state of a flow network and discussion about the resulting power-law:application to tree-shaped networks in HVAC systems

Energy ◽  
2019 ◽  
Vol 172 ◽  
pp. 181-195 ◽  
Author(s):  
Víctor-Manuel Soto-Francés ◽  
José-Manuel Pinazo-Ojer ◽  
Emilio-José Sarabia-Escrivá ◽  
Pedro-Juan Martínez-Beltrán
Author(s):  
Ronald S. LaFleur

Abstract This paper presents the computational evolution of minimum energy dissipation iceform contours. The ice/water interface is shaped according to fluid dynamic and heat transfer characteristics of the flow field near the interface. A Couette iceform design model is used to approximate flow and thermal field behavior near the interface. The theory used to calculate the interface shape is based on a wedge model of the ice contour over a cold flat plate. The steady state ice profile is calculated when Reynolds number and the thermal parameter are selected. The generation function, designation function and energy dissipation are related to the nonlinear geometric development. An optimal preprocess criterion is prescribed as zero evolution length. The result is optimal geometries that are adapted to the flow and thermal constraints.


2008 ◽  
Vol 33-37 ◽  
pp. 663-668
Author(s):  
Quan Sheng Liu ◽  
Bin Liu ◽  
Wei Gao

This paper introduces the principle of minimum energy dissipation and its general procedures to establish development equation of internal variable. With the accepted viewpoint that the damage is only mechanics of energy dissipation during the rockburst and utilizing the total strength criterion based on released strain energy, the general damage evolution equation is deduced. Compared with the traditional research method of damage evolution equation, this method has universal and objective characteristics.


2014 ◽  
Vol 90 (10) ◽  
Author(s):  
M. Madami ◽  
M. d’Aquino ◽  
G. Gubbiotti ◽  
S. Tacchi ◽  
C. Serpico ◽  
...  

2012 ◽  
Vol 518-523 ◽  
pp. 4111-4114
Author(s):  
Liang Zhong ◽  
Guang Xiang Xu ◽  
Feng Zeng

Composite roughness is an important parameter in river hydraulic calculations. In this paper, various typical methods for predicting composite roughness of river were summarized, including Einstein Method, Lotter Method, JIANG Method and Weighted Average Method, their theoretical rigors were discussed from both perspectives of minimum energy dissipation principle and analytical analysis, and their calculation precisions were verified by a large number of flume test data. Research shows that Einstein Method complies with the principle of minimum energy dissipation, also is the necessary and sufficient condition of resistance equation having unique solution, and its calculation precision is higher, therefore, Einstein Method is more suitable for composite resistance calculation of river with single cross section.


2011 ◽  
Vol 50 (18) ◽  
pp. 10824-10832 ◽  
Author(s):  
Talgat A. Akramov ◽  
Petr Stavarek ◽  
Vladimir Jiricny ◽  
Vladimir Stanek

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