An industrial freezer is designed to operate with an internal air temperature of - 20°C when the external air temperature is 27°C, and the internal and external heat transfer coefficients are 8 W/m²-K and 12 W/m²-K, respectively. The walls of the freezer are composite construction, comprising an inner layer of plastic (k = 0.33 W/m-K, and thickness of 10 mm), and an outer layer of stainless steel (k = 15 W/m- K, and thickness of 3 mm). Sandwiched between these two layers is a layer of insulation material with k = 0.07 W/m-K. Find the width (mm) of the insulation that is required to reduce the convective heat loss to 60 W/m².

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Chapter8: Natural Convection
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3. An industrial freezer is designed to operate with an internal air temperature of -
20°C when the external air temperature is 27°C, and the internal and external heat
transfer coefficients are 8 W/m²-K and 12 W/m²-K, respectively. The walls of the
freezer are composite construction, comprising an inner layer of plastic (k = 0.33
W/m-K, and thickness of 10 mm), and an outer layer of stainless steel (k = 15 W/m-
K, and thickness of 3 mm). Sandwiched between these two layers is a layer of
insulation material with k = 0.07 W/m-K. Find the width (mm) of the insulation that
is required to reduce the convective heat loss to 60 W/m².
Transcribed Image Text:3. An industrial freezer is designed to operate with an internal air temperature of - 20°C when the external air temperature is 27°C, and the internal and external heat transfer coefficients are 8 W/m²-K and 12 W/m²-K, respectively. The walls of the freezer are composite construction, comprising an inner layer of plastic (k = 0.33 W/m-K, and thickness of 10 mm), and an outer layer of stainless steel (k = 15 W/m- K, and thickness of 3 mm). Sandwiched between these two layers is a layer of insulation material with k = 0.07 W/m-K. Find the width (mm) of the insulation that is required to reduce the convective heat loss to 60 W/m².
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