On physically similar systems, illustrations of the use of dimensional equations
On physically similar systems, illustrations of the use of dimensional equations
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DOI：
10.1103/physrev.4.345
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发表时间：
1914-10-01
期刊：
影响因子：
--
通讯作者：
Buckingham, E
中科院分区：
文献类型：
--
作者：
Buckingham, E
I. The 3fosi Genera/Form of Phys~ ca/Equations.—Let it be required to describe by an equation, a relation which subsists among a number of physical quantities. of n different kinds. If several quantitics of any one kind are involved in the relation, let them be specifie by the value of any one and the ratios of the others to this one. Theequation will then contain n symbols QI~. Q „, one for each kin «l of quant. ity, and also, in general, a number of ratios r', r", ctc., so that it may bc written f ('QI g..-Q r'r"..)= oLet us suppose, for the present only, that the ratiosr do not vary during the phenomenon described by the equation: for example, if the equation describes a property of a material system and involves lengths, the system shall remain geometrically similar to itself «luring any changes of size which may occur. L'nder this condition equation (i) rc «juccs to
