A science experiment is being conducted in a spherical container made of thick glass (ID = 40mm, wall thickness = 20mm. The spherical container contains a liquid metallic salt W and the air outside the m²K (Tsalt = 1800°C). If the convection coefficient of the salt is h = 900 %3| container is at RT, what must the outside air convection coefficient be to limit the temperature difference between the inner and outer surfaces of the glass container to 1400°C?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Material properties sheet is attached 

A science experiment is being conducted in a spherical container made of thick glass (ID =
40mm, wall thickness = 20mm. The spherical container contains a liquid metallic salt
(Tsalt = 1800°C). If the convection coefficient of the salt is h = 900
W
and the air outside the
m²K
container is at RT, what must the outside air convection coefficient be to limit the temperature
difference between the inner and outer surfaces of the glass container to 1400°C?
Transcribed Image Text:A science experiment is being conducted in a spherical container made of thick glass (ID = 40mm, wall thickness = 20mm. The spherical container contains a liquid metallic salt (Tsalt = 1800°C). If the convection coefficient of the salt is h = 900 W and the air outside the m²K container is at RT, what must the outside air convection coefficient be to limit the temperature difference between the inner and outer surfaces of the glass container to 1400°C?
Material
Density
(kg
m³
Specific
Latent Heat Latent Heat
Thermal
Heat (Kak)
of Fusion,
of
Conductivity
W
Vaporization
kg
AmK.
\kg.
Air
1.225
718
0.025
Aluminum
2712
900
396000
200
Ammonia
682
4400
1371000
(Liquid)
Cast Iron
7300
460
247000
40
8940
390
206000
400
Сopper
Ероху
1200
1000
1.5
G10
1800
670
0.3
Fiberglass
Glass
2200
750
1
Silicone
1070
1300
0.2
Steel
7850
450
247000
20
Transcribed Image Text:Material Density (kg m³ Specific Latent Heat Latent Heat Thermal Heat (Kak) of Fusion, of Conductivity W Vaporization kg AmK. \kg. Air 1.225 718 0.025 Aluminum 2712 900 396000 200 Ammonia 682 4400 1371000 (Liquid) Cast Iron 7300 460 247000 40 8940 390 206000 400 Сopper Ероху 1200 1000 1.5 G10 1800 670 0.3 Fiberglass Glass 2200 750 1 Silicone 1070 1300 0.2 Steel 7850 450 247000 20
Expert Solution
Step 1

Given data,

Thermal conductivity of the glass(from the table), Kglass = 1 W/mK

Inner diameter of the glass sphere = 40 mm

so, inner radius of the glass sphere, ri = 20 mm= 0.02 m

Outer radius of the glass sphere, ro = ri + (Thickness of the glass)

ro = 20 + 20 = 40 mm = 0.04 m

Temperature of the metallic salt, Tsalt = 1800 °C

Convective heat transfer of the salt, hsalt = 900 W/m2K

Outside temperature of the air is room temperature i.e., T = 27 °C

Temperature difference between inside and outside surface of the container, T = 1400 °C

To determine, the convective heat transfer coefficient of the outside air

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