A multilevel description of the magnetoviscosity and flow birefringence in polyatomic gases

✍ Scribed by Wing-Ki Liu; F.R. McCourt

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 404 KB
• Volume: 62
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(79)80747-2

✦ Synopsis

A multilevel descrtption is &en of the magnero*i.scosit) coefficient for a pol>xomic gas and !-or the cIose1~ related fIo\r birefringence coefficient. These results are generahzations of earlier single-term descriptions, nnd the ambiguuv of dctermming the appropriate normalization for the-Ppolarization tensor m the single term descriptxon is avoided. Spherical tensor methods. rather than the ususl cartestan tensor methodsare used throughout_ 1 _ Introduction It is well known that the transport coefikients of polyatomic gases are influenced by the appli~~~t~on of An external magnetic field [ I.21 -The theoretical esplanstion of such effects. commonly known as Senftieben-Beenakker effects (SBE). involves solvmg the !inearized Waldmann-Smder kinetic equation either by the moment method [31 (also known as the transport-relaxation method) or by the Chapman-Enskog procedure I-t]_ In both cases, the distrrbution function is expanded in tertns of tensor operators in both velocity spxe (u-space) and the space of interna\ degrees of freedoru of the molecule (J-space). In principle. d complete set of operators should be used: ho\ever, in analyzing experiments performed at dilute gas densities_ only a few terms are normaNy retained. Thus. in the study of the shear viscosity SBE. only the irreductble tensors u and i%tn u-space and N(@) JTin Jspxe are utilized. The inclusion of oniy v andGii inu-space does not impose a problem since the s-.mle procedure_