Skip Content
You are currently on the new version of our website. Access the old version .

326 Results Found

  • Article
  • Open Access
1,850 Views
25 Pages

Modified Analytical Model of the Stirling Cycle: Impact of Loss Mechanisms on Stirling Engine Efficiency

  • Guan Wang,
  • Jarosław Goszczak,
  • Wissam Bou Nader,
  • Damian Batory and
  • Grzegorz Mitukiewicz

10 September 2025

Stirling engines are widely applied due to their high thermal efficiency and ability to operate with diverse heat sources. An accurate thermodynamic model is essential for optimising engine design parameters and evaluating the thermal performance of...

  • Article
  • Open Access
38 Citations
4,168 Views
11 Pages

Degenerate Stirling Polynomials of the Second Kind and Some Applications

  • Taekyun Kim,
  • Dae San Kim,
  • Han Young Kim and
  • Jongkyum Kwon

14 August 2019

Recently, the degenerate λ -Stirling polynomials of the second kind were introduced and investigated for their properties and relations. In this paper, we continue to study the degenerate λ -Stirling polynomials as well as the...

  • Feature Paper
  • Article
  • Open Access
14 Citations
4,644 Views
16 Pages

CFD Performance Analysis of a Dish-Stirling System for Microgeneration

  • Davide Papurello,
  • Davide Bertino and
  • Massimo Santarelli

30 June 2021

The sustainable transition towards renewable energy sources has become increasingly important nowadays. In this work, a microgeneration energy system was investigated. The system is composed of a solar concentrator system coupled with an alpha-type S...

  • Article
  • Open Access
28 Citations
8,368 Views
15 Pages

Use of Stirling Engine for Waste Heat Recovery

  • Peter Durcansky,
  • Radovan Nosek and
  • Jozef Jandacka

10 August 2020

Even though this discovery dates back to 1816, the greatest advancement in technology and understanding of Stirling-cycle devices has occurred in the last 50 years. Although their mass production is currently limited to special-purpose machines, its...

  • Article
  • Open Access
1 Citations
2,664 Views
25 Pages

27 October 2021

There are two kinds of working mechanisms for the Stirling cycle, i.e., the positive and the reverse cycles, and a Stirling engine (SE) can be operated as a Stirling refrigerator (SR). This indicates that a probable practical method for evaluating th...

  • Article
  • Open Access
25 Citations
4,761 Views
15 Pages

13 May 2021

The ideal Stirling cycle describes a specific way to operate an equilibrium Stirling engine. This cycle consists of two isothermal and two isochoric strokes. For non-equilibrium Stirling engines, which may feature various irreversibilities and whose...

  • Article
  • Open Access
4 Citations
5,837 Views
10 Pages

Generalized q-Stirling Numbers and Their Interpolation Functions

  • Hacer Ozden,
  • Ismail Naci Cangul and
  • Yilmaz Simsek

8 February 2013

In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive s...

  • Review
  • Open Access
5 Citations
5,540 Views
26 Pages

CFD Simulation of Stirling Engines: A Review

  • Santiago Laín,
  • Valentina Villamil and
  • Juan R. Vidal

28 October 2024

Stirling engines (SEs) have long attracted the attention of renewable energy researchers due to their external combustion design and flexibility in operating with various heat sources. The mathematical analysis of these devices is conducted by using...

  • Article
  • Open Access
20 Citations
15,882 Views
14 Pages

Efficiency Reduction in Stirling Engines Resulting from Sinusoidal Motion

  • Salvatore Ranieri,
  • Gilberto A. O. Prado and
  • Brendan D. MacDonald

24 October 2018

Stirling engines have a high potential to produce renewable energy due to their ability to use a wide range of sustainable heat sources, such as concentrated solar thermal power and biomass, and also due to their high theoretical efficiencies. They h...

  • Article
  • Open Access
997 Views
12 Pages

Sălăgean Differential Operator in Connection with Stirling Numbers

  • Basem Aref Frasin and
  • Luminiţa-Ioana Cotîrlă

12 September 2024

Sălăgean differential operator Dκ plays an important role in the geometric function theory, where many studies are using this operator to introduce new subclasses of analytic functions defined in the open unit disk. Studies of Să...

  • Review
  • Open Access
32 Citations
22,167 Views
22 Pages

Free-Piston Stirling Engine Technologies and Models: A Review

  • Carmela Perozziello,
  • Lavinia Grosu and
  • Bianca Maria Vaglieco

26 October 2021

The Stirling engine is an alternative solution to produce cleaner energy in order to achieve the reduction of the fossil fuel consumption and the CO2 emissions. It comprises an external combustion engine that can convert any external heat source into...

  • Proceeding Paper
  • Open Access
1 Citations
1,513 Views
5 Pages

Enhancing Gamma Stirling Engine Performance through Genetic Algorithm Technique

  • Abdul Rab Asary,
  • Basit Abdul,
  • Abdul Samad and
  • Mohammad Abul Hasan Shibly

26 October 2023

The Stirling engine, invented in 1816, was initially lacking comprehensive scientific understanding, which only surfaced after a considerable 50-year period. In the present era, impressive strides have been made in enhancing the performance of Stirli...

  • Review
  • Open Access
7 Citations
4,642 Views
17 Pages

Trends for Stirling Engines in Households: A Systematic Literature Review

  • Anna Kubule,
  • Jānis Kramens,
  • Madara Bimbere,
  • Nerijus Pedišius and
  • Dagnija Blumberga

12 January 2024

Reliable heat and power supply are among the basic household needs nowadays. It is especially topical in rural or distant locations that may be cut off from the energy grid due to extreme weather or other events. Nonetheless, the sustainability of ou...

  • Proceeding Paper
  • Open Access
1 Citations
4,026 Views
7 Pages

Development and Analysis of a Liquid Piston Stirling Engine

  • Abdur Rehman Mazhar,
  • Hassan Zamir Khan,
  • Muhammad Kashif Khan,
  • Adeel Ahmed and
  • Muhammad Hassaan Yousaf

26 September 2022

Stirling engines are a type of reciprocating external combustion engine that uses one or more pistons to perform useful work with the help of some external heat. The Fluidyne design, also known as the liquid piston Stirling engine, uses liquid as pis...

  • Article
  • Open Access
1 Citations
3,000 Views
26 Pages

8 April 2022

In this paper, we focus on the higher-order derivatives of the hyperharmonic polynomials, which are a generalization of the ordinary harmonic numbers. We determine the hyperharmonic polynomials and their successive derivatives in terms of the r-Stirl...

  • Article
  • Open Access
5 Citations
7,604 Views
16 Pages

16 March 2018

In this paper, we compare Stirling and Ericsson cycles to determine which engine produces greater net work output for various situations. Both cycles are for external heat engines that utilize regenerators, where the difference is the nature of the r...

  • Proceeding Paper
  • Open Access
1,535 Views
8 Pages

Heat Transfer Intensification in Recuperative Heat Exchangers of the Stirling Engine

  • Abay Dostiyarov,
  • Gulzira Koldassova,
  • Nellya Jamankulova,
  • Aliya Dostiyarova,
  • Iliya Iliev and
  • Ivan Beloev

10 January 2024

The non-stationary mode of movement of the working fluid flow in the Stirling engine causes serious difficulties in the design of heat exchangers. In most cases, the operation of conventional commercial heat exchangers is considered under steady-stat...

  • Article
  • Open Access
1 Citations
3,692 Views
10 Pages

17 December 2018

In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree n. These identities extend and generalize some known...

  • Article
  • Open Access
23 Citations
7,904 Views
25 Pages

Thermodynamic Model for Performance Analysis of a Stirling Engine Prototype

  • Miguel Torres García,
  • Elisa Carvajal Trujillo,
  • José Antonio Vélez Godiño and
  • David Sánchez Martínez

5 October 2018

In this study, the results of simulations generated from different thermodynamic models of Stirling engines are compared, including characterizations of both instantaneous and indicated operative parameters. The aim was to develop a tool to guide the...

  • Article
  • Open Access
23 Citations
7,041 Views
19 Pages

Development of a Transient Model of a Stirling-Based CHP System

  • Carlos Ulloa,
  • José Luis Míguez,
  • Jacobo Porteiro,
  • Pablo Eguía and
  • Antón Cacabelos

25 June 2013

Although the Stirling engine was invented in 1816, this heat engine still continues to be investigated due to the variety of energy sources that can be used to power it (e.g., solar energy, fossil fuels, biomass, and geothermal energy). To study the...

  • Proceeding Paper
  • Open Access
1,059 Views
6 Pages

A Novel Close Loop Analysis of Gamma Prototype Stirling Engine

  • Abdul Rab Asary,
  • Basit Abdul,
  • Abdul Samad and
  • Mohammad Abul Hasan Shibly

26 October 2023

Air pollution is greatly influenced by the emissions generated by automotive engines, making it a pressing concern. To address this issue, a considerable amount of research is currently devoted to recovering waste heat from these engines. A gamma-typ...

  • Article
  • Open Access
2 Citations
2,344 Views
22 Pages

27 April 2023

The Stirling numbers for graphs provide a combinatorial interpretation of the number of cycle covers in a given graph. The problem of generating all cycle covers or enumerating these quantities on general graphs is computationally intractable, but re...

  • Article
  • Open Access
18 Citations
3,646 Views
18 Pages

31 August 2020

The q-Stirling numbers (polynomials) of the second kind have been investigated and applied in a variety of research subjects including, even, the q-analogue of Bernstein polynomials. The (p,q)-Stirling numbers (polynomials) of the second kind have be...

  • Article
  • Open Access
7 Citations
6,329 Views
10 Pages

26 November 2013

Stirling approximation of the factorials and multinominal coefficients are generalized based on the κ-generalized functions introduced by Kaniadakis. We have related the κ-generalized multinominal coefficients to the κ-entropy by introducing a new κ-...

  • Article
  • Open Access
48 Citations
7,617 Views
13 Pages

17 September 2012

This paper investigates the optimization of the performance of a solar powered Stirling engine based on finite-time thermodynamics. Heat transference in the heat exchangers between a concentrating solar collector and the Stirling engine is studied. T...

  • Article
  • Open Access
17 Citations
8,118 Views
20 Pages

27 February 2018

There is an increasing request in energy recovery systems that are more efficient, environmentally friendly and economical. The free piston Stirling engine has been investigated due to its structural simplicity and high efficiency, coupled with its c...

  • Article
  • Open Access
35 Citations
7,558 Views
12 Pages

21 September 2017

Energy and exergy analyses were carried out for a pilot parabolic solar dish-Stirling System. The system was set up at a site at Kerman City, located in a sunny desert area of Iran. Variations in energy and exergy efficiency were considered during th...

  • Article
  • Open Access
14 Citations
3,208 Views
14 Pages

Power-Optimal Control of a Stirling Engine’s Frictional Piston Motion

  • Raphael Paul,
  • Abdellah Khodja,
  • Andreas Fischer,
  • Robin Masser and
  • Karl Heinz Hoffmann

3 March 2022

The power output of Stirling engines can be optimized by several means. In this study, the focus is on potential performance improvements that can be achieved by optimizing the piston motion of an alpha-Stirling engine in the presence of dissipative...

  • Feature Paper
  • Article
  • Open Access
36 Citations
4,908 Views
19 Pages

Optimized Piston Motion for an Alpha-Type Stirling Engine

  • Robin Masser,
  • Abdellah Khodja,
  • Mathias Scheunert,
  • Karsten Schwalbe,
  • Andreas Fischer,
  • Raphael Paul and
  • Karl Heinz Hoffmann

23 June 2020

The Stirling engine is one of the most promising devices for the recovery of waste heat. Its power output can be optimized by several means, in particular by an optimized piston motion. Here, we investigate its potential performance improvements in t...

  • Proceeding Paper
  • Open Access
1,104 Views
6 Pages

26 October 2023

The Stirling engine, a type of external combustion engine utilizing a compressible fluid as its working medium, holds promise as a highly efficient device for converting heat into mechanical work at Carnot efficiency. This research conducts a detaile...

  • Article
  • Open Access
3 Citations
2,946 Views
14 Pages

Effect of Material Change on Stirnol Engine: A Combination of NiTiNOL (Shape Memory Alloy) and Gamma Stirling Engine

  • Humayun Arif,
  • Aqueel Shah,
  • Tahir Abdul Hussain Ratlamwala,
  • Khurram Kamal and
  • Maqsood Ahmed Khan

20 April 2023

Population explosion, industrialization, and urbanization have accelerated energy requirements across the globe. This has led to the human quest to find simple and cost-effective energy solutions. A promising solution is the revival of the Stirling e...

  • Article
  • Open Access
11 Citations
10,891 Views
21 Pages

2 April 2020

The Stirling engine is a device that allows conversion of thermal energy into mechanical energy with relatively high efficiency. Existing commercial designs are mainly based on the usage of high temperature heat sources, whose availability from renew...

  • Article
  • Open Access
14 Citations
2,909 Views
17 Pages

5 November 2020

The technique of solar dish and Stirling engine combination is the most challenging and promising one. For the efficient conversion of the externally concentrated heat to the usable power, we studied the influences of the wall temperature, inclinatio...

  • Article
  • Open Access
24 Citations
5,845 Views
16 Pages

31 August 2020

Heat pumps are increasingly seen as efficient and cost-effective heating systems also in industrial applications. They can drastically reduce the carbon footprint of heating by utilizing waste heat and renewable electricity. Recent research on Stirli...

  • Article
  • Open Access
31 Citations
1,870 Views
13 Pages

1 December 2013

By using the generating functions for the generalized Stirling type numbers, Eulerian type polynomials and numbers of higher order, we derive various functional equations and differential equations. By using these equation, we derive some relations a...

  • Article
  • Open Access
11 Citations
8,057 Views
17 Pages

Research on Control Strategy of Free-Piston Stirling Power Generating System

  • Jigui Zheng,
  • Jing Chen,
  • Ping Zheng,
  • Hongxing Wu and
  • Chengde Tong

16 October 2017

As a clean and fuel adaptive alternative power plant, the Stirling power generating system has drawn attention of experts and scholars in the energy field. In practical application, the instability of free-piston Stirling power generating system caus...

  • Proceeding Paper
  • Open Access
995 Views
5 Pages

A Novel Decision Approach for the Performance Analysis of a Gamma-Type Double Piston Stirling Engine

  • Abdul Rab Asary,
  • Basit Abdul,
  • Abdul Samad and
  • Mohammad Abul Hasan Shibly

14 December 2023

Stirling engines represent a category of external heat transfer engines that demonstrate versatility by harnessing various heat sources, including solar energy, bio-mass, conventional fuel, and nuclear power. Achieving high thermal efficiency in powe...

  • Article
  • Open Access
19 Citations
8,790 Views
16 Pages

Application Model for a Stirling Engine Micro-Generation System in Caravans in Different European Locations

  • Carlos Ulloa,
  • Jacobo Porteiro,
  • Pablo Eguía and
  • José M. Pousada-Carballo

6 February 2013

This article describes a simple model obtained from a commercial Stirling engine and used for heating a caravan. The Stirling engine has been tested in the lab under different electrical load conditions, and the operating points obtained are presente...

  • Article
  • Open Access
3 Citations
2,448 Views
10 Pages

Extending the Applicability of Stirling’s Method

  • Cristina Amorós,
  • Ioannis K. Argyros,
  • Á. Alberto Magreñán,
  • Samundra Regmi,
  • Rubén González and
  • Juan Antonio Sicilia

31 December 2019

Stirling’s method is considered as an alternative to Newton’s method when the latter fails to converge to a solution of a nonlinear equation. Both methods converge quadratically under similar convergence criteria and require the same comp...

  • Article
  • Open Access
27 Citations
14,264 Views
14 Pages

25 October 2012

The environmental footprint of ultra-low temperature (ULT) freezers as used in bio-repositories, universities and other research organizations is investigated. These freezers, employing the cascade refrigeration system, use between 10 and 20 times th...

  • Article
  • Open Access
16 Citations
4,051 Views
13 Pages

4 June 2018

Recent developments in solar thermal systems have aroused considerable interest in several countries with high solar potential. One of the most promising solar driven technologies is the solar thermal dish-Stirling system. One of the main issues of t...

  • Article
  • Open Access
83 Citations
7,881 Views
13 Pages

Using GMDH Neural Networks to Model the Power and Torque of a Stirling Engine

  • Mohammad Hossein Ahmadi,
  • Mohammad-Ali Ahmadi,
  • Mehdi Mehrpooya and
  • Marc A. Rosen

17 February 2015

Different variables affect the performance of the Stirling engine and are considered in optimization and designing activities. Among these factors, torque and power have the greatest effect on the robustness of the Stirling engine, so they need to be...

  • Feature Paper
  • Article
  • Open Access
742 Views
27 Pages

24 May 2025

In this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s-Appell polynomials related to Stirling numbers and binomial coefficients. We discuss some pr...

  • Article
  • Open Access
6 Citations
4,878 Views
18 Pages

6 April 2019

Waste heat is a potential source for powering our living environment. It can be harvested and transformed into electricity. Ohmic heat is a common type of waste heat. However, waste heat has the following limitations: wide distribution, insufficient...

  • Article
  • Open Access
3 Citations
2,137 Views
25 Pages

Analytical Solution of Heat Transfer Performance of Grid Regenerator in Inverse Stirling Cycle

  • Yajuan Wang,
  • Jun’an Zhang,
  • Zhiwei Lu,
  • Jiayu Liu,
  • Bo Liu and
  • Hao Dong

24 September 2022

The regenerator plays an extremely important role in the Stirling circulation. A grid regenerator can be used for inverse Stirling machines at room temperature due to its low flow resistance. This paper proposes a hexagonal grid regenerator to theore...

  • Article
  • Open Access
9 Citations
2,988 Views
17 Pages

Experimental and Numerical Characterisation of a Non-Tubular Stirling Engine Heater for Biomass Applications

  • David García,
  • María-José Suárez,
  • Eduardo Blanco and
  • Jesús-Ignacio Prieto

9 December 2022

In the current context of environmental deterioration and rising energy costs, systems based on Stirling engines are interesting not only because of their proven efficiency and very low noise level, but also because of their ability to use renewable...

  • Article
  • Open Access
2 Citations
3,476 Views
14 Pages

18 November 2020

Stirling engine is a favorable technique in the application of waste heat recovery or cogeneration system. This paper aims at developing a beta-type Stirling engine which is operated at moderate heating temperature (773–973 K). Rhombic drive me...

  • Article
  • Open Access
20 Citations
8,467 Views
38 Pages

Performance Analysis of a Stirling Engine Hybrid Power System

  • Pablo Jimenez Zabalaga,
  • Evelyn Cardozo,
  • Luis A. Choque Campero and
  • Joseph Adhemar Araoz Ramos

21 February 2020

The Bolivian government’s concerns that are related to reducing the consumption of diesel fuel, which is imported, subsidized, and provided to isolated electric plants in rural communities, have led to the implementation of hybrid power systems...

of 7