Consider a plate solar collector placed horizontally on the flat roof of a house. The collector measures 1.5 m wide and 4.5 m long, and the average temperature of the exposed surface of the collector is 38°C. The emissivity of the exposed surface of the collector is 0.9. Determine the rate of heat loss of the collector during a calm day, when the ambient air temperature is 20°C and the effective temperature of the sky, for exchange for radiation is 10°C. Consider the convection heat transfer coefficient of the exposed surface qual to 14 W/m^2.K

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Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.30P
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6. Consider a plate solar collector placed horizontally on the
flat roof of a house. The collector measures 1.5 m wide and
4.5 m long, and the average temperature of the exposed
surface of the collector is 38°C. The emissivity of the exposed
surface of the collector is 0.9. Determine the rate of heat
loss of the collector during a calm day, when the ambient air
temperature is 20°C and the effective temperature of the
sky, for exchange for radiation is 10°C. Consider the
convection heat transfer coefficient of the exposed surface
qual to 14 W/m^2.K
Transcribed Image Text:6. Consider a plate solar collector placed horizontally on the flat roof of a house. The collector measures 1.5 m wide and 4.5 m long, and the average temperature of the exposed surface of the collector is 38°C. The emissivity of the exposed surface of the collector is 0.9. Determine the rate of heat loss of the collector during a calm day, when the ambient air temperature is 20°C and the effective temperature of the sky, for exchange for radiation is 10°C. Consider the convection heat transfer coefficient of the exposed surface qual to 14 W/m^2.K
1. A small gray sphere, with an emissivity coefficient of 0.5 and
a surface temperature of 537°C, is located in a black body
wrap with a temperature of 35°C. For this system, calculate
the net rate of heat transfer per unit of surface area of the
sphere.
2. Gaseous oxygen is maintained at pressures of 2 atm and 1
atm on the opposite sides of a rubber membrane, which has
a thickness of 0.5 mm, and the entire system is at
25°C. What is the diffusive mass flow of gas through the
membrane?
DAB=0.21x10^-9 m^2/s; O = 16 g/mol
3. Pure oxygen gas at 2 bar and 25°C is flowing through a
rubber hose of 10 m long, with 40 mm internal diameter and
2 mm wall thickness. The external surface is exposed to an
air stream in which the partial pressure of the gas is 0.1 bar.
The diffusivity and solubility of the gas in the hose material
are 0.21x10^-9 m^2/s and 3.12x10^-3 kmol/m^3.bar.
respectively. Determine the mass rate at which the gas leaks
out of the hose.
4. Consider the diffusion of gaseous hydrogen into iron, at T =
293 K. Calculate the flow of the species if the concentration
gradient at a specific location is equal to dCa/dx=-
1kmol/m^3.m.
5. The wing of an airplane has a polished aluminum coating. At
an altitude of 1500 m (T = 5°C), does it absorb 100 W/m^2
Of heat by solar radiation. Assuming that the inner surface
of the wing lining is well insulated and that it has a rope of
6m (that is, L = 6m), calculate the equilibrium temperature
of the wing at a speed of 150 m/s for a distance of x m from
the front edge, where the convective coefficient is hx = 222
W/m^2.K
Transcribed Image Text:1. A small gray sphere, with an emissivity coefficient of 0.5 and a surface temperature of 537°C, is located in a black body wrap with a temperature of 35°C. For this system, calculate the net rate of heat transfer per unit of surface area of the sphere. 2. Gaseous oxygen is maintained at pressures of 2 atm and 1 atm on the opposite sides of a rubber membrane, which has a thickness of 0.5 mm, and the entire system is at 25°C. What is the diffusive mass flow of gas through the membrane? DAB=0.21x10^-9 m^2/s; O = 16 g/mol 3. Pure oxygen gas at 2 bar and 25°C is flowing through a rubber hose of 10 m long, with 40 mm internal diameter and 2 mm wall thickness. The external surface is exposed to an air stream in which the partial pressure of the gas is 0.1 bar. The diffusivity and solubility of the gas in the hose material are 0.21x10^-9 m^2/s and 3.12x10^-3 kmol/m^3.bar. respectively. Determine the mass rate at which the gas leaks out of the hose. 4. Consider the diffusion of gaseous hydrogen into iron, at T = 293 K. Calculate the flow of the species if the concentration gradient at a specific location is equal to dCa/dx=- 1kmol/m^3.m. 5. The wing of an airplane has a polished aluminum coating. At an altitude of 1500 m (T = 5°C), does it absorb 100 W/m^2 Of heat by solar radiation. Assuming that the inner surface of the wing lining is well insulated and that it has a rope of 6m (that is, L = 6m), calculate the equilibrium temperature of the wing at a speed of 150 m/s for a distance of x m from the front edge, where the convective coefficient is hx = 222 W/m^2.K
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