Wang Chang

Willard, Thomas and Eric Wan-hsiang Wang. Chang Chi s poems on Taoist alchemy. Cauda Pavonis 15, no. 1 (Spring 1996) 1-6. 

L. B. Cohen, B. M. Salzberg, H. V. Davila, W. N. Ross, D. Landowne, A. S. Waggoner, and C. H. Wang, Changes in axon fluorescence during activity Molecular probes of membrane potential, J. Membrane Biol. 19, 1 (1974). 

W. Wang, C. Chen, L. Chen, Q. Wang, Change in structure and hydrogen storage properties of La,Mg,Ni alloy after modification by mechanical grinding in tetrahydrofuran, J. Alloys Compd. 339 (2002) 175-179. 

A kinetic theory for dilute polyatomic gases has been developed by Wang-Chang and Uhlenbeck (W3, U3). No calculations have been made of the diffusion coefficients on the basis of this theory, however. For most polyatomic gases the results of the Chapman-Enskog monatomic gas theory seem to be adequate. 

The rotational relaxation of polyatomic spherical top molecules can be treated approximately on the classical rough sphere model. This has been done for homo-molecular collisions by Wang Chang and Uhlenbeck101. They find a simple expression resembling that obtained by Brout for diatomic molecules... 

The Boltzmann theory has been remodeled for polyatomic molecules or molecules with internal states by Wang-Chang and Uhlenbeck. Their analysis includes distribution functions /< for each total quantum state i of a molecule (the subscripts now... 

The Wang-Chang-Uhlenbeck treatment applies to transitions among internal states without chemical reaction. Eliason and Hirschfelder have shown how it can be adapted to chemical reactions, as for example,... 

Wang-Chang, C., and Uhlenbeck, G. E., Transport Phenomena in Polyatomic Molecules, Univ. of Michigan Report CAf-681, 1951. 

The other man who comes from the east is Zhao Sheng, one of Zhang Daoling s two main disciples with Wang Chang. We have already met both disciples in Chapter 3 of this book as the putative authors, with their master, of the preface to the variant version of the Scripture of the Golden Liquor. 

Tcheremissine FG (2002) Solution of the Wang Chang-Uhlenbeck master equation. Doklady Phys 47 872-875... 

A semidassical generalization of the Boltzmann equation to include polyatomic molecules was given by Wang Chang et This equation was later extended to a more correct quantum... 

Wang-Chang-Uhlenbeck equation Generalized Boltzmann equation Flow simulations in transitional and rarefied regimes... 

The fiilly quantum-mechanical kinetic theory of polyatomic gases is based on the Waldmann-Snider equation (Waldmann 1957 Snider 1960) and was subsequently developed and sununarized by McCourt and co-workers (for instance, McCoiut et al. 1990,1991). Wang Chang and Uhlenbeck (1951) and independently de Boer (see Wang Chang et al. 1964) formulated a semiclassical kinetic theory (Wang Chang-Uhlenbeck-de Boer theory, or WCUB) subsequently developed by Monchick, Mason and their col-... 

In the absence of external fields the evolution of fi is then governed by the Wang Chang-Uhlenbeck-de Boer equation - a form of generalized Boltzmann equation -that can be written after linearization as... 

The notation remains the same as before except that subscripts q and q denote independent molecular species and the Wang Chang-Uhlenbeck operator for the mixture is defined by the equation... 

For the expansion tensors of the various functions, P, A, B and F, the same two choices are available as for the pure fluid. The first is that employed by Wang Chang and Uhlenbeck, so that, for example. 

Here, the operator is a part of the Wang Chang-Uhlenbeck collision operator, defined by... 

The effective cross section 6(p0j/ 9) exactly the same as the cross section (pOst) introduced in Section 4.2 for a pure gas. All of the other cross sections introduced depend upon the binary interaction of two molecular species alone, as is made clear by the definition of the Wang Chang-Uhlenbeck or Boltzmann collision operators. From the point of view of the present volume this is a very important result because it means that if the collision cross sections can be determined for each binary interaction, then it becomes possible to evaluate the contribution of that interaction to the transport properties of a multicomponent mixture immediately. If repeated for all possible binary interactions in the mixture then the prediction of the transport properties of any multicomponent mixture containing them is possible. Furthermore, if the effective cross sections for the pure components of a binary mixture are known then those characteristic of the single, unlike binary interaction may be deduced from the properties of a mixture. It is worthy of note that this result remains valid even if higher orders of kinetic theory approximation are invoked. 

In order to discuss the evaluation of the thermal conductivity of mixtures containing polyatomic components it is useful to treat the results of the Wang Chang and Uhlenbeck expansion method and that of Thijsse separately. The former is well established but, in its full form, is sufficiently complicated that it has seldom been used for calculations (see. 

Equations (4.92) to (4.102), which express the thermal conductivity of a gas mixture in terms of the cross sections of the Wang Chang-Uhlenbeck theory have been rewritten by Monchick et al. (1965) in an approximate form, in which so-called complex collisions have been neglected, as... 

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