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Q3: A steam pipe of outside temperature of (T = 500 °C) and outside radius of (R. 100 mm) is insulated with three layers of thermal insulation materials of equal thickness of (t 100 mm), as shown in Fig. Q.3. The thermal insulation is exposed to an ambient temperature of (T = 20 °C). If the thermal conductivity of the thermal insulation layers are (K₁ = 0.4 W/m. K), (K₂ = 0.25 W/m. K) and (K3 = 0.1 W/m. K) and the convection heat transfer coefficient is (h = 40 W/m2.K). Find the temperature distribution along the three layers of thermal insulation materials using the FVM with a uniform grid of (Ar = 50 mm). The one- dimensional steady state energy equation for this problem is given as follows: 1 d r dr (rk: dT = 0 h-40 W/m².K T-20°C 7,500 C Fig. Q.3 K₁ =0.4 W/m.K K₁ = 0.25 W/m.K K₁ 0.1 W/m.K

Q3: A steam pipe of outside temperature of (T = 500 °C) and outside radius of (R. 100 mm) is insulated with three layers of thermal insulation materials of equal thickness of (t 100 mm), as shown in Fig. Q.3. The thermal insulation is exposed to an ambient temperature of (T = 20 °C). If the thermal conductivity of the thermal insulation layers are (K₁ = 0.4 W/m. K), (K₂ = 0.25 W/m. K) and (K3 = 0.1 W/m. K) and the convection heat transfer coefficient is (h = 40 W/m2.K). Find the temperature distribution along the three layers of thermal insulation materials using the FVM with a uniform grid of (Ar = 50 mm). The one- dimensional steady state energy equation for this problem is given as follows: 1 d r dr (rk: dT = 0 h-40 W/m².K T-20°C 7,500 C Fig. Q.3 K₁ =0.4 W/m.K K₁ = 0.25 W/m.K K₁ 0.1 W/m.K

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
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Q3: A steam pipe of outside temperature of (T = 500 °C) and outside radius of (R. 100 mm) is insulated with three layers of thermal insulation materials of equal thickness of (t 100 mm), as shown in Fig. Q.3. The thermal insulation is exposed to an ambient temperature of (T = 20 °C). If the thermal conductivity of the thermal insulation layers are (K₁ = 0.4 W/m. K), (K₂ = 0.25 W/m. K) and (K3 = 0.1 W/m. K) and the convection heat transfer coefficient is (h = 40 W/m2.K). Find the temperature distribution along the three layers of thermal insulation materials using the FVM with a uniform grid of (Ar = 50 mm). The one- dimensional steady state energy equation for this problem is given as follows: 1 d r dr (rk: dT = 0 h-40 W/m².K T-20°C 7,500 C Fig. Q.3 K₁ =0.4 W/m.K K₁ = 0.25 W/m.K K₁ 0.1 W/m.K
Transcribed Image Text:Q3: A steam pipe of outside temperature of (T = 500 °C) and outside radius of (R. 100 mm) is insulated with three layers of thermal insulation materials of equal thickness of (t 100 mm), as shown in Fig. Q.3. The thermal insulation is exposed to an ambient temperature of (T = 20 °C). If the thermal conductivity of the thermal insulation layers are (K₁ = 0.4 W/m. K), (K₂ = 0.25 W/m. K) and (K3 = 0.1 W/m. K) and the convection heat transfer coefficient is (h = 40 W/m2.K). Find the temperature distribution along the three layers of thermal insulation materials using the FVM with a uniform grid of (Ar = 50 mm). The one- dimensional steady state energy equation for this problem is given as follows: 1 d r dr (rk: dT = 0 h-40 W/m².K T-20°C 7,500 C Fig. Q.3 K₁ =0.4 W/m.K K₁ = 0.25 W/m.K K₁ 0.1 W/m.K
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