In a compost pile, the biochemical conversion process from waste to compost is accompanied by heat generation. Composting systems need to be designed properly so that the temperature rise due to generated heat does not reach above 65 °C, which is when the beneficial microbes start to die off. Consider a compost pile on the ground (assume a pile to be a horizontal layer of a certain thickness) as a steady-state, one-dimensional system with heat transfer along the vertical direction. For simplicity, consider the top and bottom of the pile to be maintained at the same temperature, 20 °C, making the layer symmetric. The volumetric heat generation is 7W/m3, and the thermal conductivity of the compost material is 0.1 W/m*K.
In a compost pile, the biochemical conversion process from waste to compost is accompanied by heat generation. Composting systems need to be designed properly so that the temperature rise due to generated heat does not reach above 65 °C, which is when the beneficial microbes start to die off. Consider a compost pile on the ground (assume a pile to be a horizontal layer of a certain thickness) as a steady-state, one-dimensional system with heat transfer along the vertical direction. For simplicity, consider the top and bottom of the pile to be maintained at the same temperature, 20 °C, making the layer symmetric. The volumetric heat generation is 7W/m3, and the thermal conductivity of the compost material is 0.1 W/m*K.
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What should be the maximum height of the pile be so that the beneficial microbes do not die off at the warmest location?
Note: Do not use Heissler charts to answer this question.
and explain clearly and step by step please
Transcribed Image Text:In a compost pile, the biochemical conversion process from waste to
compost is accompanied by heat generation. Composting systems need to be
designed properly so that the temperature rise due to generated heat does not reach
above 65 °C, which is when the beneficial microbes start to die off. Consider a compost
pile on the ground (assume a pile to be a horizontal layer of a certain thickness) as a
steady-state, one-dimensional system with heat transfer along the vertical direction.
For simplicity, consider the top and bottom of the pile to be maintained at the same
temperature, 20 °C, making the layer symmetric. The volumetric heat generation is
7W/m3, and the thermal conductivity of the compost material is 0.1 W/m*K.
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