Effect of Heat Transfer Through Walls on Response of Pneumatic System

Complexity in deriving the differential equations of temperature and pressure responses in pneumatic systems arises from the nonlinearity of the parameters inside the control volume. These parameters include flow characteristics, mass flow rate, change of temperature and pressure, and the heat transfer through walls. The latter is usually neglected in favor of simplicity, and the precise modeling of temperature and pressure responses is being sacrificed. This paper discusses the effect of heat transfer through walls on pressure and temperature responses of the pneumatic system by solving the nonlinear differential equations of temperature and pressure for two thermal conditions—with and without considering the heat transfer through walls for various ambient temperatures. It is found that the pressure and temperature responses are more precise with considering heat transfer through walls. Additionally, the temperature and pressure responses have been validated through experimental work.