An oil preheater consists of a single tube of D=10 mm diameter and L=25 m length. A surface heat flux of q."-exp(-x/25) [W/m²] is applied on the tube. Chemical reactions inside the oil cause volumetric heat generation at the rate of ġ = 1000 [W/m³]. Before entering the tube, the oil has a uniform temperature of 25 °C and a flow rate of 0.025 kg/s, and its hydrodynamic boundary layer has been fully developed. (a) Determine the type of flow (laminar or turbulent) inside the tube. (b) Determine the location where the thermal boundary layer is fully developed. (c) Perform the energy analysis of the fluid, and derive the temperature equation (in terms of dTm and dx) for the oil (Do NOT need to solve it). (d) Calculate the temperature difference between the pipe surface and the oil (Ts-Tm) at the exit of the pipe. "= = KAT can 1 hA Properties of the oil: p = 865.8 kg/m³, cp=2035 J/kg K, = 8.36×102 Nos/m², k = 0.141 W/mK, α = 0.8×10-7 m²/s, and Pr=1206.6.

Elements Of Electromagnetics
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An oil preheater consists of a single tube of D=10 mm diameter and L=25 m length. A surface
heat flux of q."-exp(-x/25) [W/m²] is applied on the tube. Chemical reactions inside the oil cause
volumetric heat generation at the rate of ġ = 1000 [W/m³]. Before entering the tube, the oil has
a uniform temperature of 25 °C and a flow rate of 0.025 kg/s, and its hydrodynamic boundary
layer has been fully developed.
(a) Determine the type of flow (laminar or turbulent) inside the tube.
(b) Determine the location where the thermal boundary layer is fully developed.
(c) Perform the energy analysis of the fluid, and derive the temperature equation (in terms of
dTm and dx) for the oil (Do NOT need to solve it).
(d) Calculate the temperature difference between the pipe surface and the oil (Ts-Tm) at the
exit of the pipe. "= =
KAT
can
1
hA
Properties of the oil: p = 865.8 kg/m³, cp=2035 J/kg K, = 8.36×102 Nos/m², k = 0.141
W/mK, α = 0.8×10-7 m²/s, and Pr=1206.6.
Transcribed Image Text:An oil preheater consists of a single tube of D=10 mm diameter and L=25 m length. A surface heat flux of q."-exp(-x/25) [W/m²] is applied on the tube. Chemical reactions inside the oil cause volumetric heat generation at the rate of ġ = 1000 [W/m³]. Before entering the tube, the oil has a uniform temperature of 25 °C and a flow rate of 0.025 kg/s, and its hydrodynamic boundary layer has been fully developed. (a) Determine the type of flow (laminar or turbulent) inside the tube. (b) Determine the location where the thermal boundary layer is fully developed. (c) Perform the energy analysis of the fluid, and derive the temperature equation (in terms of dTm and dx) for the oil (Do NOT need to solve it). (d) Calculate the temperature difference between the pipe surface and the oil (Ts-Tm) at the exit of the pipe. "= = KAT can 1 hA Properties of the oil: p = 865.8 kg/m³, cp=2035 J/kg K, = 8.36×102 Nos/m², k = 0.141 W/mK, α = 0.8×10-7 m²/s, and Pr=1206.6.
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