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this course you have learnt the following |
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- Physical similarities are always sought between the problems of same
physics. The complete physical similarity requires geometric similarity,
kinematic similarity and dynamic similarity to exist simultaneously.
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- In geometric similarity, the ratios of the corresponding geometrical dimensions
between, the systems remain the same. In kinematic similarity,
the ratios of corresponding motions and in dynamic similarity, the
ratios of corresponding forces between the systems remain the same.
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- For prediction of the performance characteristics of actual systems in
practice from the results of model scale experiments in laboratories,
complete physical similarity has to be achieved between the prototype
and the model.
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- Dimensional homogeneity of physical quantities implies that the number
of dimensionless independent variables are smaller as compared
to the number of their dimensional counterparts to describe a physical
phenomenon. The dimensionless variables represent the criteria of
similarity. Buckingham’s π theorem states that if a physical problem
is described by m dimensional variables which can be expressed by n
fundamental dimensions, then the number of independent dimensionless
variables defining the problem will be m-n. These dimensionless
variables are known as π terms. The independent π terms of a physical
problem are determined either by Buckingham’s π theorem or by
Rayleigh’s indicial method.
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Congratulations! you have finished Chapter 6.
To view the next lecture select it from the left hand side menu of the page |
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