A thermal non-equilibrium approach for 2D natural convection due to lateral heat flux: Square as well as slender enclosure

2013 ◽  
Vol 56 (1-2) ◽  
pp. 501-515 ◽  
Author(s):  
Sarita Pippal ◽  
P. Bera
2018 ◽  
Vol 49 (13) ◽  
pp. 1299-1321
Author(s):  
Xiaofeng Wang ◽  
Juntao Wang ◽  
Weizhong Dai

1995 ◽  
Vol 31 (8) ◽  
pp. 301-309 ◽  
Author(s):  
Govert D. Geldof

In integrated water management, the issues are often complex by nature, they are capable of subjective interpretation, are difficult to express in standards and exhibit many uncertainties. For such issues, an equilibrium approach is not appropriate. A non-equilibrium approach has to be applied. This implies that the processes to which the integrated issue pertains, are regarded as “alive”’. Instead of applying a control system as the model for tackling the issue, a network is used as the model. In this network, several “agents”’ are involved in the modification, revision and rearrangement of structures. It is therefore an on-going renewal process (perpetual novelty). In the planning process for the development of a groundwater policy for the municipality of Amsterdam, a non-equilibrium approach was adopted. In order to do justice to the integrated character of groundwater management, an approach was taken, containing the following features: (1) working from global to detailed, (2) taking account of the history of the system, (3) giving attention to communication, (4) building flexibility into the establishing of standards, and (5) combining reason and emotions. A middle course was sought, between static, rigid but reliable on the one hand; dynamic, flexible but vague on the other hand.


1971 ◽  
Vol 26 (1) ◽  
pp. 10-17 ◽  
Author(s):  
A. R. Allnatt

AbstractA kinetic equation is derived for the singlet distribution function for a heavy impurity in a lattice of lighter atoms in a temperature gradient. In the one dimensional case the equation can be solved to find formal expressions for the jump probability and hence the heat of transport, q*. for a single vacancy jump of the impurity, q* is the sum of the enthalpy of activation, a term involving only averaging in an equilibrium ensemble, and two non-equilibrium terms in­volving time correlation functions. The most important non-equilibrium term concerns the cor­relation between the force on the impurity and a microscopic heat flux. A plausible extension to three dimensions is suggested and the relation to earlier isothermal and non-isothermal theories is indicated


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