Fluid Mechanics
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
Solved Examples Based on Dimensional Analysis: Dimensional Analysis and Model Studies - Fluid Mechanics and Machinery
Dimensional Analysis
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
1. Procedure to Solve Problems by Using Buckingham's π - Theorem 2. Method of Selecting Repeating Variables.
Dimensional Analysis
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
This method was proposed by Rayleigh in the year 1899 in order to determine the effect of temperature on the viscosity of a gas.
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
From the above methods, the following two methods are generally used in dimensional analysis.
Fluid Mechanics
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
To check the dimensional homogeneity of the any given fluid motion equation.
Statement with Examples
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
Dimensional analysis is based on the principle, that the variables in a physical phenomenon is arranged properly to give an equation which dimensionally homogeneous.
Table with Physical Quantity, Symbol, Unit, Dimensions
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
Dimensions and its units: Dimensional Analysis and Model Studies - Fluid Mechanics and Machinery
Definition, Examples
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
The quantities which are expressed in terms of the primary quantities are called as derived (or) secondary quantities.
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
The fundamental quantities are mass, length, time and temperature designated by the letters M, L, T, and θ respectively.
Definition
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
The various physical quantities are involved in a fluid phenomenon can be expressed interms of fundamental quantities (or) primary quantities that is called dimensions.
Fluid Mechanics
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
The complex information is not provided by dimensional analysis.
Fluid Mechanics
Subject and UNIT: Fluid Mechanics and Machinery: Unit 3: Dimensional Analysis and Model Studies
(i) It express the functional relationship between the variables in dimensionless terms