An oil preheater consists of a single tube of 10 mm diameter and 30 m length. The first half of the tube is heated by a heat rate per unit length of q' = ax2 [W/m], where a = 5 W/m³, and the second half is well insulated. Before entering the tube, the oil has a uniform temperature of 25 °C and a flow rate of 0.0125 kg/s. The 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) Calculate the mean fluid temperature at the tube exit, Tmo. Properties of the oil: p = 865.8 kg/m³ = 2035 J/kg K, u = 8.36×102 N⚫s/m², k = 0.141 W/mK, a=0.8×107 m²/s, and Pr-1206.6.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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An oil preheater consists of a single tube of 10 mm diameter and 30 m length. The first half of the
tube is heated by a heat rate per unit length of q' = ax2 [W/m], where a = 5 W/m³, and the second
half is well insulated. Before entering the tube, the oil has a uniform temperature of 25 °C and a
flow rate of 0.0125 kg/s. The 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) Calculate the mean fluid temperature at the tube exit, Tmo.
Properties of the oil: p = 865.8 kg/m³ = 2035 J/kg K, u = 8.36×102 N⚫s/m², k = 0.141 W/mK,
a=0.8×107 m²/s, and Pr-1206.6.
Transcribed Image Text:An oil preheater consists of a single tube of 10 mm diameter and 30 m length. The first half of the tube is heated by a heat rate per unit length of q' = ax2 [W/m], where a = 5 W/m³, and the second half is well insulated. Before entering the tube, the oil has a uniform temperature of 25 °C and a flow rate of 0.0125 kg/s. The 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) Calculate the mean fluid temperature at the tube exit, Tmo. Properties of the oil: p = 865.8 kg/m³ = 2035 J/kg K, u = 8.36×102 N⚫s/m², k = 0.141 W/mK, a=0.8×107 m²/s, and Pr-1206.6.
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