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The top surface of the passenger car of a train moving at a velocity of 70 km/h is 2.8 m wide and 8 m long The top surface is absorbing solar radiation at a rate of 200 W/m², and the temperature of the ambient air is- 30°C. Assuming the roof of the car to be perfectly insulated and the radiation heat exchange with the surroundings to be small relative to convection, determine the equilibrium temperature of the top surface of the car. Properties of air at 30°C are: The conductivity k = 0.02588 W /m. °C, The kinematic viscosity v == 1.608 x 10-5 m²/s %3D The Prandtl number: Pr = 0.7282. Air 200 W/m2 30°C

The top surface of the passenger car of a train moving at a velocity of 70 km/h is 2.8 m wide and 8 m long The top surface is absorbing solar radiation at a rate of 200 W/m², and the temperature of the ambient air is- 30°C. Assuming the roof of the car to be perfectly insulated and the radiation heat exchange with the surroundings to be small relative to convection, determine the equilibrium temperature of the top surface of the car. Properties of air at 30°C are: The conductivity k = 0.02588 W /m. °C, The kinematic viscosity v == 1.608 x 10-5 m²/s %3D The Prandtl number: Pr = 0.7282. Air 200 W/m2 30°C

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The top surface of the passenger car of a train moving at a velocity of 70 km/h is 2.8 m wide and 8 m long. The top surface is absorbing solar radiation at a rate of 200 W/m, and the temperature of the ambient air is 30°C. Assuming the roof of the car to be perfectly insulated and the radiation heat exchange with the surroundings to be small relative to convection, determine the equilibrium temperature of the top surface of the car. Properties of air at 30°C are: The conductivity k = 0.02588 W/m. °C, The kinematic viscosity v == 1.608 x 10-5 m2/s The Prandtl number: Pr = 0.7282. 200 W/m2 Air 30°C 70 km/h The following three correlations hold for the average Nusselt number for a flow on a flat plate (according to the type of flow on this plate): 0.5 x Pr1/3 0.664RE Turbulent flow: Nu, = 0.037RE,0 x Pr/3 Mixed laminar and turbulent flow: Nu, = (0.037RE Laminar flow: Nu %3D 0.8-871) × Pr/3
Transcribed Image Text:The top surface of the passenger car of a train moving at a velocity of 70 km/h is 2.8 m wide and 8 m long. The top surface is absorbing solar radiation at a rate of 200 W/m, and the temperature of the ambient air is 30°C. Assuming the roof of the car to be perfectly insulated and the radiation heat exchange with the surroundings to be small relative to convection, determine the equilibrium temperature of the top surface of the car. Properties of air at 30°C are: The conductivity k = 0.02588 W/m. °C, The kinematic viscosity v == 1.608 x 10-5 m2/s The Prandtl number: Pr = 0.7282. 200 W/m2 Air 30°C 70 km/h The following three correlations hold for the average Nusselt number for a flow on a flat plate (according to the type of flow on this plate): 0.5 x Pr1/3 0.664RE Turbulent flow: Nu, = 0.037RE,0 x Pr/3 Mixed laminar and turbulent flow: Nu, = (0.037RE Laminar flow: Nu %3D 0.8-871) × Pr/3
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