Abstract
A pair of nonlinear differential equations which describe the transient behavior of temperature and humidity in a confined space have been derived from simultaneous material balances of dry air and water along with the enthalpy balance of moist air. The equations are sufficiently general to take into account external heat loads, and internal heat and moisture loads within the confined space. Since temperature-humidity control systems allow usually only small deviations of temperature and humidity from a desired operating point, a linearization of the above equations within the bounds of small deviations is justified. Hence the nonlinear equations are linearized around a desired steady state operating point. On using available relations for the specific volume and enthalpy of moist air, the linearized equations further result in a pair of linear uncoupled differential equations. The response from the linear equations is found to compare very favorably with that from the original nonlinear equations.
Published Version
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