An Orifice, diameter d (m), in the walls of a tank discharges water under a head, h (m), subjected to gravitational acceleration, g (m/s^2). If the fluid has density, ρ (kg/m^3) and viscosity, μ (Ns/m^2), show that the quantity of fluid Q (m^3/s) flowing out of the tank may be expressed by the equation.

(The diameter symbol is the symbol denoting "function")

Question

An Orifice, diameter d (m), in the walls of a tank discharges water under a head, h (m), subjected to gravitational acceleration, g (m/s^2). If the fluid has density, ρ (kg/m^3) and viscosity, μ (Ns/m^2), show that the quantity of fluid Q (m^3/s) flowing out of the tank may be expressed by the equation.

(The diameter symbol is the symbol denoting "function")

anonymous · Answer

$$Q=h ^{2}\sqrt{gh}  \emptyset \left( \frac{ u }{ p \sqrt{g}h ^{\frac{ 3 }{ 2}} } , \frac{ h }{ d}\right)$$

anonymous · Answer

$$Fluid Density = \rho (kg/m^{3}), Viscosity = \mu (Ns/m ^{2})$$