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Bell Coleman Cycle

The Bell Coleman cycle is a Brayton cycle driven in reverse, via network input, with air as the working fluid. Also called a gas refrigeration cycle, its purpose is to move heat, rather than produce work.

The thermal efficiency of a Bell Coleman cycle increases as the ratio of pressures approaches 1 as well as depends on the heat capacity ratio.

Formula

QuantityVariable[Subscript["η", "th"], "ThermalEfficiency"] == (-1 + (QuantityVariable[Subscript["p", "h"], "Pressure"]/QuantityVariable[Subscript["p", "l"], "Pressure"])^((-1 + QuantityVariable["γ", "HeatCapacityRatio"])/QuantityVariable["γ", "HeatCapacityRatio"]))^(-1)

symbol description physical quantity
ηth thermal efficiency "ThermalEfficiency"
ph high pressure "Pressure"
pl low pressure "Pressure"
γ heat capacity ratio "HeatCapacityRatio"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Bell Coleman Cycle"]
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Get the formula:

In[2]:=
FormulaData[ResourceObject["Bell Coleman Cycle"]]
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Use some values:

In[3]:=
FormulaData[ResourceObject["Bell Coleman Cycle"], {QuantityVariable[ \!\(\*SubscriptBox[\("p"\), \("h"\)]\),"Pressure"] -> Quantity[500000, "Pascals"], QuantityVariable["\[Gamma]","HeatCapacityRatio"] -> 5/3}]
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