A water tank kept on the ground has an orifice of 2 ~mm diameter on the vertical side. What is the minimum height of the water above the orifice for which the output flow of water is found to be turbulent? (Assume, g=10 ~m / s ^2, _ water =10^3 ~kg / m ^3 , viscosity =1 centi-poise)

Step-by-step solution

Here, D=2 ~mm , =1 centi-poise =10⁻³ ~Pa - s and density of the water, =10^3 ~kg / m ^3 For flow to be just turbulent, R_e=3000 v= R_e D = 3000 10⁻³ 10^3 2 10⁻³ =1.5 We know that the velocity head, h= v^2 2 g h= (1.5)^2 2 10 =0.1125 11 ~cm So, no option is matched.