In the final stage of production, a pharmaceutical asset must be sterilized on a permanent basis by heating from 25 ºC to 75 ºC, when it flows at 0.1 m / s, through a tube of negligible thickness made stainless steel, diameter 10 mm. A constant thermal flow in the tube wall is maintained by a electrical resistance, installed along the outer surface of the tube. Consider that the entire thermal flow supplied is transferred to the fluid. If the pipe is 24 m long, determine:
(i) Heat transfer rate supplied to the tube, W.
(ii) Internal convection coefficient, in W / m².K.
(iii) Surface temperature of the tube wall at the outlet in ºC. Consider the approximate thermal properties of the pharmaceutical asset equal to:
ρ = 1100 kg / m³;
μ = 4 x 10-3 kg / m.s;
k = 0.35 W / m.K;
Pr = 15;
Cp = 4000 J / kg.K.
In the final stage of production, a pharmaceutical asset must be sterilized on a permanent basis by heating from 25 ºC to 75 ºC, when it flows at 0.1 m / s, through a tube of negligible thickness made stainless steel, diameter 10 mm. A constant thermal flow in the tube wall is maintained by a electrical resistance, installed along the outer surface of the tube. Consider that the entire thermal flow supplied is transferred to the fluid. If the pipe is 24 m long, determine:
(i) Heat transfer rate supplied to the tube, W.
(ii) Internal convection coefficient, in W / m².K.
(iii) Surface temperature of the tube wall at the outlet in ºC. Consider the approximate thermal properties of the pharmaceutical asset equal to:
ρ = 1100 kg / m³;
μ = 4 x 10-3 kg / m.s;
k = 0.35 W / m.K;
Pr = 15;
Cp = 4000 J / kg.K.
