Adiabatic operation definition

The volumetric mass and heat transfer coefficients can be determined simply from the definitions (Equations 2.46 and 2.47) for an adiabatic operation. (See Ref [28] for details.)... 

Vocabulary of Terms Used in Reactor Design. There are several terms that will be used extensively throughout the remainder of this text that deserve definition or comment. The concepts involved include steady-state and transient operation, heterogeneous and homogeneous reaction systems, adiabatic and isothermal operation, mean residence time, contacting and holding time, and space time and space velocity. Each of these concepts will be discussed in turn. 

Good examples are the core hole excited states of homonuclear molecules. When one electron is removed from a core orbital, the original Dooh symmetry is lowered to C v The D h group can be decomposed into two CooV components related by a C, or Cs operation, so it is fair to consider that the core-hole excited states are described by resonance between the two structures. The adiabatic subsystems have, by definition, zero overlap in the real space. Their interaction is defined only in complex space through the explicit overlap between the many-electron states. 

The fundamental rule for safe operation of an adiabatic exothermic reactor is that it must not be operated with too much conversion. The definition of "too much" is provided by the development described herein. It takes one of two nearly equivalent forms ... 

Equations (23) and (24) presume a knowledge of the relevant electronic states, either the charge-locahzed diabatic states A and (ps or the adiabatic states hi and F2 (eqnation 8). Typically, diabatic states are natural for studying electron transfer, whereas the adiabatic states are nsed for optical transitions. The generalized Mulhken-Hnsh approximation adopts the definition of diabatic states that are diagonal with respect to the component of the dipole moment operator along... 

For large (pilot plant) laboratory reactors, on the other hand, the adiabatic mode of operation is generally preferable since natural heat losses play a lesser role and heat removal or supply through the bed is more difficult. In the following part the accuracy of temperature definition in both modes of operation will be analyzed. 

One may forget this disappearance of the ionic components into higher eigenvectors and take an adiabatic definition of the target space assuming that the concerned roots are always the lowest of their symmetry, whatever their physical content. Then the effective operator matrix elements will be continuous functions of the interatomic distance, but the eigenvectors... 

The present theory of calorimetry is concerned mostly with the instruments whose principle of operation is assumed to involve the transfer of heat in the system. This is true for most of the existing calorimeters, whether those with a constant or those with a variable temperature of the shield. It includes calorimeters in which the flow of heat between the calorimeter proper and its surroundings is quite intense, and also those in which this flow of heat is very low. On the other hand, the present theory is concerned to only a minor degree with calorimeters whose principle of operation is based on the assumption that there is no heat transfer (adiabatic calorimeters) or that, by definition, the heat transfer process is stationary (the generated heat effect is compensated). 

The time shift flux introduced by Okuyama and Takatsuka [307] is another approach has been designed to extract information about flux from a pure adiabatic state that is carried on an ab-initio molecular dynamics. The definition of this operator Is expressed by... 

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