Physical Similarity and Dimensional Analysis: An Elementary Treatise

acceleration aerofoil angle assume axes beam body force boundary layer bulk modulus Chapter component compressible condition for similarity consider consistent unit constant ratio convenient corresponding points deflexion density depends derived units dimensional analysis dimensional relation dimensionally homogeneous dynamical equations elastic moduli equal example expression fixed flexural rigidity flow fluid Froude number fundamental units geometrically similar given heat Hence homogeneous function incompressible indices indicial equations inertia forces investigation lift coefficient liquid Mach number mathematical analysis measure formula modulus non-dimensional form non-dimensional parameter non-dimensional quantity notch oscillation P₁ P₂ particles phenomena physical quantity Pi Theorem plane postulate pressure propeller proportional result Reynolds number satisfied similar systems similarity of motion similarly sional solution speed suppose surface tension temperature theory transcendental function triangles unit of length variables vectors velocity of sound viscous forces wave zero дх