Consistency conditions in the extended principle of corresponding states

✍ Scribed by Frank B. Canfield

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 338 KB
• Volume: 26
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(71)80031-3

✦ Synopsis

Subramanian [9, lo]. Hulburt and Akiyama observe that the solutions to PBE could be subjected to the many diverse PBE which arise in the description of Brownian coagulation ramifications of the method of weighted residuals[ 111. It may could be solved by the method of moment equations introduc-also be worthwhile to investigate the convergence of MWR ing a Laguerre function expansion for the fractional moments, methods to the exact solutions of population balance equaexcept when the initial distribution was broadly disperse [7].

tions. This shows that the weighting functions (9) do not provide for an adequate weighting operation for the entire semi-infinite interval and alternative choices must be considered. Acknowledgment-I am greatly indebted to Professor R. P. Very recently, Bramlette and Mallette have used MWR Andres, Department of Chemical Engineering, Princeton technioues for the solution of the Boltzmann equation for the University, N.J. for useful discussions on the subject. linearized Couette flow problem[l2]. The solution of PBE must clearly be viewed in the more D. RAMKRISHNA general light of MWR of which the method of moment equa-Department of Chemical Engineering tions with a Laguerre function expansion of the distribution Indian Institute of Technology represents a special case. Thus the problem of obtaining Kanpur-