Reynolds number can be defined as the number which can be used to find out whether the flow is laminar or turbulent. The Reynold number is denoted by the letter R suffix e. The value of the Reynold number can be obtained by dividing inertial force with a viscous force that is Reynolds number = Inertial force / Viscous force. The formula is given as Re = pVL / u where p is given as the density of the fluid calculated in kg/m^3, V is the velocity of the fluid calculated in m/s, u is the viscosity which is calculated in N.s/m^2 and L is given as the length of the diameter of the fluid which is calculated in m.
Example 1: Find out the Reynolds number if a fluid has the viscosity as 0.5 N.s/m^2, density is 1000 kg/m^3 and the length
of the diameter of the pipe is 30 mm and velocity is 2.5 m/s.
For a given equation if the value of a variable is unknown, then the equation is solved in order to find the value of the variable.
The formula is given as Re = pVL / u
Re = 1000*2.5*30*10^-3/0.5
Re = 150
Hence the Reynolds number is 150
Example 2: Calculate the Reynolds number of a fluid passing through the pipe of diameter 10cm, the fluid has the viscosity
0.27 N.s/m^2 and density 900 kg/m^3 and it is flowing with the velocity of 3.8 m/s.
For a given equation if the value of a variable is unknown, then the equation is solved in order to find the value of the variable.
The formula is given as Re = pVL / u
Re = 900*3.8*10*10^-2/0.27
Re = 1266.67
Hence the Reynolds number is 1266.67