Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
Dimensional Homogeneity
Statement with Examples
Dimensional analysis is based on the principle, that the variables in a physical phenomenon is arranged properly to give an equation which dimensionally homogeneous.
DIMENSIONAL HOMOGENEITY Dimensional analysis is based on the principle, that the variables in a physical phenomenon is arranged properly to give an equation which dimensionally homogeneous. Dimensional homogeneity means the dimensions of each term in an equation on both sides are equal. For example: Check the dimensional homogeneity of the static pressure expression. P = ρgh acceleration (g) = LT-2 Height (h) = L. W.K.T P = ρgh ML-1T-2 = ML-3 × LT-2 × L ML-1T-2 = ML-1T-2 Dimensions of left side = Dimension of right side. In the above equation P is dependant variable and ρ, g, h are independent variables.
Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies : Tag: : Statement with Examples - Dimensional Homogeneity
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Fluid Mechanics and Machinery
CE3391 3rd semester Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation