This work aims to study a Stirling engine (SE) used recover the heat content of exhaust gas from an internal combustion engine. The attention has been focused on transfer between and working inside heater. Experimental tests have performed two-cylinder gamma-type coupled compression ignition using thermally insulated pipe cap. A mechanical power 0.275 kW at 900 rpm SE rotational speed was obtai...

We consider an optimal control problem for a model of a Stirling engine that is actively controlled through its displacer piston motion. The framework of optimal periodic control (OPC) is used as the setting for this active control problem. We use the idealized isothermal Schmidt model for the system dynamics and formulate the control problem so as to maximize mechanical power output while trad...

These theories introduce basic concepts and proofs about discrete summation: shifts, formal summation, falling factorials and stirling numbers. As proof of concept, a simple summation conversion is provided. 1 Stirling numbers of first and second kind theory Stirling imports Main begin 1.1 Stirling numbers of the second kind fun Stirling :: nat ⇒ nat ⇒ nat where Stirling 0 0 = 1 | Stirling 0 (S...

We classify k-Stirling permutations avoiding a set of ordered patterns of length three according to Wilf-equivalence. Moreover, we derive enumeration formulæ for all of the classes using a variety of techniques such as the kernel method, a bijection related to a classical result of Simion and Schmidt, and also structural decompositions of k-Stirling permutations via the so-called block decompos...

The Jacobi-Stirling numbers and the Legendre-Stirling numbers of the first and second kind were first introduced by Everitt et al. (2002) and (2007) in the spectral theory. In this paper we note that Jacobi-Stirling numbers and Legendre-Stirling numbers are specializations of elementary and complete symmetric functions. We then study combinatorial interpretations of this specialization and obta...

An approach to mesoscale electric power production is presented which relies on a clean and efficient combustor coupled with a free-piston Stirling engine. The design and development of a catalytic combustor is discussed, whose main components are: a multiplexed electrospray to disperse jet propulsion fuel (JP-8), a stack of catalytically coated grids through which fuel conversion and heat rele...

We develop a first-principles model of the regenerator component of a generic Stirling engine. The model is based on the Euler equations of one dimensional gas dynamics coupled with its convective/conductive heat transfer with the embedded mesh material. We investigate various methods for deriving simpler and low order control-oriented models from this first principles model. The basic criterio...

Due to their high relative cost, solar electric energy systems have yet to be exploited on a widespread basis. It is believed in the energy community that a technology similar to photovoltaic (PV), but offered at about $1/W would lead to widespread deployment at residential and commercial sites. This paper addresses the investigation and feasibility study of a low-cost solar thermal electricity...