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Given figure below, shows a ladle having an internal diameter of 1 m with a capacity height of 1.2 m. It has a nozzle of 75 mm exit diameter. What is the mass flow rate in kg/sec? Take CD (Coefficient of discharge) = 0.96, ρ (Density of molten metal) = 2700 kg/m3

Given figure below, shows a ladle having an internal diameter of 1 m with a capacity height of 1.2 m. It has a nozzle of 75 mm exit diameter. What is the mass flow rate in kg/sec? Take CD (Coefficient of discharge) = 0.96, ρ (Density of molten metal) = 2700 kg/m3 Correct Answer 55.34

The mass flow discharge rate is given by ṁ = ρAnCD√2gH Where, CD (Coefficient of discharge) = 0.96, ρ (Density of molten metal) = 2700 kg/m3, (Total height) = 1.2 m and g (Acceleration due to gravity) = 9.81 m/s2 And An (Nozzle area) = π/4 * (0.075)2 m2 = 4.4*10-3 m2 ṁ = 2700*4.4*10-3*0.96√2*9.81*1.2 kg/sec ṁ = 55.34 kg/sec.

Related Questions

Molten steel is kept in a ladle. Due in natural convection. mixing occurs inside the melt. A 1cm diameter sphere is held in the centre of the melt where the steel flows upward. so as to measure the force exerted by the melt on the sphere. The force. F exerted by the melt on the sphere is given by $$F = f\left( {\frac{\pi }{8}} \right).\left( {\frac{{{\mu ^2}}}{8}} \right){\left( {\operatorname{Re} } \right)^2}.$$
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Reynolds number (Re) of the melt
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