Dimensional Analysis and Physical Laws

نویسنده

  • Shinji Tanimoto
چکیده

Dimensional analysis provides many simple and useful tools for various situations in science. The objective of this paper is to investigate its relations to functions, i.e., the dimensions for functions that yield physical quantities and those for the arguments of functions. In particular, it is shown that there are three types of functions from a viewpoint of dimensional analysis. The results presented here seem to be useful in several aspects and can also be applied to similar circumstances in other disciplines which deal with quantities with dimensions.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Self-similar solutions‎ ‎of the Riemann problem for two-dimensional systems of conservation‎ ‎laws

In this paper, a new approach is applied to study the self-similar solutions of 2×2 systems of nonlinear hyperbolic conservation laws. A notion of characteristic directions is introduced and then used to construct local and smooth solutions of the associated Riemann problem

متن کامل

Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation

‎In this paper Lie point symmetries‎, ‎Hamiltonian equations and conservation‎ ‎laws of general three-dimensional anisotropic non-linear sourceless heat transfer‎ ‎equation are investigated‎. ‎First of all Lie symmetries are obtained by using the general method‎ based on invariance condition of a system of differential equations under a pro‎longed vector field‎. ‎Then the structure of symmetry ...

متن کامل

Qualitative Physics Using Dimensional Analysis

In this paper we use dimensional analysis as a method for solving problems in qualitative physics. We pose and solve some of the qualitative reasoning problems discussed in the literature, in the context of devices such as the pressure regulator and the heat exchanger. Using dimensional analysis, such devices or systems can be reasoned about without explicit knowledge of the physical laws that ...

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 کامل

Children’s Right to Health and Protection in Iran; Domestic Implementation of International Laws

All children have a right to benefit from health facilities, goods and services and be protected from physical or mental violence, injury or abuse, and neglect or maltreatment. Some groups of children need special support to enjoy their rights. The aim of this paper is to review Iran’s laws and policies on the protection of children’s right to health. The method of this descriptive and analytic...

متن کامل

ذخیره 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 2006