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erties of the sphere material are E Ex 10 m2 /s. o sphere remain in the water bath

erties of the sphere material are E Ex 10 m2 /s. o sphere remain in the water bath

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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200 C A new process for treatment of a special material is to be evaluated. The material, a sphere of radius r.-5 mm, is initially in equilibrium at Tr-335 °C in a furnace. It is suddenly removed from the furnace and subjected to a cooling in a well-stirred water bath at T-20 °C for a period of time. For this situation, the convective heat transfer coefficient is hw = 6000 W/m? .K. The thermophysical properties of the sphere material are p 3000 kg/m, k= 30 W/m.K, c-1000 J/kg.K, and a= 6.66x 10m? /s. a) How long must the sphere remain in the water bath for 65% of the maximum thermal energy to be removed? b) Calculate the time t required for the cooling process to be completed when the center temperature reaches a value of T=50 °C. c) Calculate the surface temperature of the sphere when the cooling process completed %3D T= 20°C h= 6000 W/mK Water Sphere, r, 5 mm p= 3000 kg/m C=1 kJ/kg-K a= 6.66 x 10 m/s k= 30 W/m-K -T- 335°C T (0, )=50°C
Transcribed Image Text:200 C A new process for treatment of a special material is to be evaluated. The material, a sphere of radius r.-5 mm, is initially in equilibrium at Tr-335 °C in a furnace. It is suddenly removed from the furnace and subjected to a cooling in a well-stirred water bath at T-20 °C for a period of time. For this situation, the convective heat transfer coefficient is hw = 6000 W/m? .K. The thermophysical properties of the sphere material are p 3000 kg/m, k= 30 W/m.K, c-1000 J/kg.K, and a= 6.66x 10m? /s. a) How long must the sphere remain in the water bath for 65% of the maximum thermal energy to be removed? b) Calculate the time t required for the cooling process to be completed when the center temperature reaches a value of T=50 °C. c) Calculate the surface temperature of the sphere when the cooling process completed %3D T= 20°C h= 6000 W/mK Water Sphere, r, 5 mm p= 3000 kg/m C=1 kJ/kg-K a= 6.66 x 10 m/s k= 30 W/m-K -T- 335°C T (0, )=50°C
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