An oil preheater consists of a single tube of 10 mm diameter and 25 m length. The tube is heated by a heat rate per unit length of q' = ax2 [W/m], where a = 1.2 W/m³. Before entering the tube, the oil has a uniform temperature of 25 °C and a flow rate of 0.025 kg/s. The hydrodynamic boundary layer has been fully developed. (a) Determine the type of flow (laminar) or turbulent) inside the tube. Is it fully developed? (b) Calculate the mean fluid temperature and the surface temperature at the tube exit. Note: When determining the convection coefficient, use the correlation equation for constant heat flux. Properties of the oil: p = 865.8 kg/m³, cp=2035 J/kg K, μ= 8.36×102 N⚫s/m², k = 0.141 W/m K, and a = 0.8×107 m²/s. knowns: q' = ax² L: 25m D= 0.01m m = 0.025 kg/s Tm,i=25 C 0 x (Tm.o assumptions qwns! Steady flow

Elements Of Electromagnetics
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An oil preheater consists of a single tube of 10 mm diameter and 25 m length. The tube is heated
by a heat rate per unit length of q' = ax2 [W/m], where a = 1.2 W/m³. Before entering the tube,
the oil has a uniform temperature of 25 °C and a flow rate of 0.025 kg/s. The hydrodynamic
boundary layer has been fully developed.
(a) Determine the type of flow (laminar) or turbulent) inside the tube. Is it fully developed?
(b) Calculate the mean fluid temperature and the surface temperature at the tube exit.
Note: When determining the convection coefficient, use the correlation equation for
constant heat flux.
Properties of the oil: p = 865.8 kg/m³, cp=2035 J/kg K, μ= 8.36×102 N⚫s/m², k = 0.141
W/m K, and a = 0.8×107 m²/s.
knowns:
q' = ax²
L: 25m
D= 0.01m
m = 0.025 kg/s
Tm,i=25 C
0
x
(Tm.o
assumptions qwns!
Steady flow
Transcribed Image Text:An oil preheater consists of a single tube of 10 mm diameter and 25 m length. The tube is heated by a heat rate per unit length of q' = ax2 [W/m], where a = 1.2 W/m³. Before entering the tube, the oil has a uniform temperature of 25 °C and a flow rate of 0.025 kg/s. The hydrodynamic boundary layer has been fully developed. (a) Determine the type of flow (laminar) or turbulent) inside the tube. Is it fully developed? (b) Calculate the mean fluid temperature and the surface temperature at the tube exit. Note: When determining the convection coefficient, use the correlation equation for constant heat flux. Properties of the oil: p = 865.8 kg/m³, cp=2035 J/kg K, μ= 8.36×102 N⚫s/m², k = 0.141 W/m K, and a = 0.8×107 m²/s. knowns: q' = ax² L: 25m D= 0.01m m = 0.025 kg/s Tm,i=25 C 0 x (Tm.o assumptions qwns! Steady flow
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