Fluid Mechanics

The Superposition Principle

The velocity components determined from derivatives of stream function ψ (or velocity potential Φ) are linear in st…

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Fluid Mechanics

Analysis of Inviscid, Incompressible, Irrotation Flows

Incompressible flow is a constant density flow.  Let us visualize a fluid element of defined mass, moving along a…

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Fluid Mechanics

Rayleigh's Indicial Method

This alternative method is also b ased on the fundamental principle of dimensional homogeneity  of physical variabl…

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Fluid Mechanics

Determination of π terms

A group of n (n = number of fundamental dimensions) variables out of m (m = total number of independent variables …

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Fluid Mechanics

Example

Consider pressure drop in a tube of length  , hydraulic diameter d, surface roughness  Î , with fluid of density ρ …

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Fluid Mechanics

Alternative Mathematical Description of (π) Pi Theorem

A physical problem described by m number of variables involving n number of fundamental dimensions (n < m) lead…

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Fluid Mechanics

Buckingham's Pi Theorem

Assume, a physical phenomenon is described by  m number of independent variables like x 1  , x 2  , x 3  , ..., x …

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