Microscopic mechanical energy

The most fi equently used relationship in the design of flow systems is the macroscopic mechanical-cnergy balance. This equation is obtained by integrating the microscopic mechanical-energy balance over the volume of the system as shown by Bird et al. [9]. The balance is given by... 

DEVELOPMENT OF MICROSCOPIC MECHANICAL ENERGY EQUATION AND ITS APPLICATION... 

A chemomechanical system can be defined as one that is used to obtain macroscopic mechanical energy caused by microscopic deformation in response to changes in an external environment it is also considered to be a system for obtaining large deformations effectively by using microscopic mechanical energy. Polymer gels can be functional polymers that possess complex system functions similar to those of biomaterials. Thus, they are potentially useful chemomechanical materials and various studies are underway today. Chemomechanical systems actuate by phase transition, oxidation-reduction, chelation, and formation of complexes between polymers. They are classified as follows ... 

Microscopic Balance Equations Partial differential balance equations express the conservation principles at a point in space. Equations for mass, momentum, totaf energy, and mechanical energy may be found in Whitaker (ibid.). Bird, Stewart, and Lightfoot (Transport Phenomena, Wiley, New York, 1960), and Slattery (Momentum, Heat and Mass Transfer in Continua, 2d ed., Krieger, Huntington, N.Y., 1981), for example. These references also present the equations in other useful coordinate systems besides the cartesian system. The coordinate systems are fixed in inertial reference frames. The two most used equations, for mass and momentum, are presented here. 

Statistical mechanics gives the relation between microscopic information such as quantum mechanical energy levels and macroscopic properties. Some important statistical mechanical concepts and results are summarized in Appendix A. Here we will briefly review one central result the Boltzmann distribution for thermal equilibrium. 

The main objective of statistical mechanics is to calculate macroscopic (thermodynamic) properties from a knowledge of microscopic information like quantum mechanical energy levels. The purpose of the present appendix is merely to present a selection1 of the results that are most relevant in the context of reaction dynamics. 

Connecting the results of the kinetic theory of gases to the ideal gas law gives a microscopic, mechanical interpretation of temperature, the average kinetic energy per mole is equal to 3/2 PCT. 

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