Buckingham's Pi Theorem
ثبت نشده
چکیده
The dimensions in the previous examples are analysed using Rayleigh's Method. Alternatively, the relationship between the variables can be obtained through a method called Buckingham's π. Buckingham ' s Pi theorem states that: If there are n variables in a problem and these variables contain m primary dimensions (for example M, L, T) the equation relating all the variables will have (n-m) dimensionless groups. Buckingham referred to these groups as π groups. The final equation obtained is in the form of :
منابع مشابه
A generalization of the Pi-theorem and dimensional analysis.
This article introduces a generalization of dimensional analysis and its corollary, the Pi-theorem, to the class of problems in which some of the quantities that define the problem have fixed values in all the cases that are of interest. The procedure can reduce the number of dimensionless similarity variables beyond the prediction of Buckingham's theorem. The generalized Pi-theorem tells when ...
متن کامل/ 06 07 35 0 v 1 1 5 Ju l 2 00 6 Simple scaling laws for astrophysical jets
The idea of a unified model for all astrophysical jets has been considered for quite some time. We present here a few scaling laws relevant to all type of astrophysical jets, analogous to those of Sams et al. (1996) which are widely used for astrophysical black holes. We use Buckingham's Π theorem of dimensional analysis to obtain a family of dimensional relations among the physical quantities ...
متن کاملGeneral Theory of Cycle-Dependence of Total pi-Electron Energy
The theoretical treatment of cycle-effects on total pi-electron energy, mainly elaborated by Nenad Trinajstic and his research group, is re-stated in a general and more formal manner. It enables to envisage several other possible ways of measuring the cycle-effects and points at further directions of research.
متن کاملCriteria for dynamic similarity in bouncing gaits.
Animals of different sizes tend to move in a dynamically similar manner when travelling at speeds corresponding to equal values of a dimensionless parameter (DP) called the Froude number. Consequently, the Froude number has been widely used for defining equivalent speeds and predicting speeds of locomotion by extinct species and on other planets. However, experiments using simulated reduced gra...
متن کاملطراحی یک کنترل‌کننده مقاوم برای پایداری ولتاژ یک ریزشبکه در حالات مختلف کاری
This paper proposed a new voltage control strategy for an islanded Microgrid (MG). A MG is consists of several Distributed Generation (DG) and local loads and controllers which it should be capable to operates in both connected and disconnected mode from main grid. Often there are some uncertainties in load and system parameters in isolated mode hence, robust control of electrical quantities is...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002