Physics > Fluid Mechanics > 1.0 Introduction
Fluid Mechanics
1.0 Introduction
1.1 Ideal liquid
1.2 Density of a liquid $\left( \rho \right)$
1.3 Relative density of a liquid $(RD)$
1.4 Density of a mixture of two or more liquid
1.5 Density variation with temperature
1.6 Density variation with pressure
2.0 Fluid pressure
2.1 Atmospheric pressure
2.2 Pressure variation with depth
2.3 Measurement of pressure
2.4 Pressure difference in accelerating fluids
3.0 Pascal's law
4.0 Buoyant force
5.0 Flow of fluids
6.0 Viscosity
7.0 Stoke's law
8.0 Intermolecular forces
9.0 Angle of contact
1.2 Density of a liquid $\left( \rho \right)$
1.2 Density of a liquid $\left( \rho \right)$
1.3 Relative density of a liquid $(RD)$
1.4 Density of a mixture of two or more liquid
1.5 Density variation with temperature
1.6 Density variation with pressure
2.2 Pressure variation with depth
2.3 Measurement of pressure
2.4 Pressure difference in accelerating fluids
Density of a substance is defined as the mass per unit volume of the substance.
It is denoted by the symbol $\rho $ (rho). $${\text{Density}}\; = \;\frac{{{\text{Mass}}}}{{{\text{Volume}}}}$$ or $$\rho = \left( {\frac{m}{v}} \right)$$
Note:
- Density is a scalar quantity
- Density of a substance is always positive
- Its dimensional formula is $\left[ {{M^1}{L^{ - 3}}{T^0}} \right]$
- SI unit of density is $kg/{m^3}$ and CGS unit is $g/c{m^3}$
- The density of water at $4^\circ C$ is $1 \times {10^3}\;kg/{m^3}$ or $1\;gm/c{m^3}$ or $1\;gm/cc$
- $1\;kg/{m^3} = {10^3}\;gm/c{m^3}$
