Development of the Pulse Tube Refrigerator As an Efficient And
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Thermoacoustic Analysis of Displacer Gap Loss in a Low Temperature Stirling Cooler
THERMOACOUSTIC ANALYSIS OF DISPLACER GAP LOSS IN A LOW TEMPERATURE STIRLING COOLER Vincent Kotsubo1 and Gregory Swift2 1Ball Aerospace and Technologies Boulder, CO 80027 USA 2Condensed Matter and Thermal Physics Group Los Alamos National Laboratory Los Alamos NM 87545 USA ABSTRACT Thermoacoustic theory is applied to oscillating flow in a parallel-plate gap with finite and unequal heat capacities on the two bounding walls, and with relative movement of one wall with respect to the other. The motivation is to understand the behavior of displacer gap losses at low temperatures in a Stirling cooler. Equations for the oscillating temperature and enthalpy flux down the gap and down the moving solid as a function of pressure amplitude, flow, temperatures, wall velocity, and material properties are derived. General expressions, along with results illustrating the behavior of the solutions, are presented. The primary result is that losses may increase significantly below 25 K, due to vanishing wall heat capacities and reduced thermal penetration depth in the helium gas. KEYWORDS: Thermoacoustics, Stirling, Cryocooler, Displacer PACS: 43.35.Ud INTRODUCTION In a Stirling cryocooler, there are two losses in the gap between the displacer and the displacer cylinder wall. One is shuttle loss, which arises from relative motion between the displacer and the wall, and the other is enthalpy flow loss due to oscillatory flow in the gap. These losses have previously been analyzed in detail, and in fact, for oscillatory flow between two stationary parallel surfaces with identical properties, software codes such as DeltaE [1], Sage [2], and REGEN3 [3] can provide solutions. These codes, however, are deficient when applied to low temperature displacer gaps. -
Thermodynamic Analysis of GM-Type Pulse Tube Coolers Q Y.L
Cryogenics 41 &2001) 513±520 www.elsevier.com/locate/cryogenics Thermodynamic analysis of GM-type pulse tube coolers q Y.L. Ju *,1 Cryogenic Laboratory, Chinese Academy of Sciences, P.O. Box 2711, Beijing 100080, People's Republic of China Received 29 January 2001; accepted 28 June 2001 Abstract The thermodynamic loss of rotary valve and the coecient of performance &COP) of GM-type pulse tube coolers &PTCs) are discussed and explained by using the ®rst and second laws of thermodynamics in this paper. The COP of GM-type PTC, based on two types of pressure pro®les, the sinusoidal wave inside the pulse tube and the step wave at the compressor side, has been derived and compared with that of Stirling-type PTC. Result shows that additional compressor work is needed due to the irreversible entropy productions in the rotary valve thereby decreasing the COP of GM-type PTC. The eect of double-inlet mode on the COP of PTC has distinct improvement at lower temperature region &larger TH=TL). It is also shown that the COP of GM-type PTC is independent of the shape of the pressure pro®les in the ideal case of no ¯ow resistance in the regenerator. Ó 2001 Elsevier Science Ltd. All rights reserved. Keywords: Pulse tube cooler; GM-type; Thermodynamic analysis 1. Introduction achieved [13]. All these machines use a compressor and a valve system to produce pressure oscillation in the In general pulse tube cooler &PTC) requires a phase cooler system. They are called GM-type PTCs. shifter system, located at the hot end of the pulse tube, A GM-type PTC, shown in Fig. -
Stirling Refrigerator
Stirling Refrigerator Mid-Point Report Luis Gardetto Ahmad Althomali Abdulrahman Alazemi Faiez Alazmi John Wiley 2017-2018 Project Sponsor: Dr. David Trevas Faculty Advisor: Mr. David Willy Instructor: Dr. Sarah Oman DISCLAIMER This report was prepared by students as part of a university course requirement. While considerable effort has been put into the project, it is not the work of licensed engineers and has not undergone the extensive verification that is common in the profession. The information, data, conclusions, and content of this report should not be relied on or utilized without thorough, independent testing and verification. University faculty members may have been associated with this project as advisors, sponsors, or course instructors, but as such they are not responsible for the accuracy of results or conclusions. i Executive Summary Refrigeration is a ubiquitous application of engineering concepts, with implications like food preservation techniques, superconducting-magnet involving techniques and crystal harvesting techniques. The refrigeration process involves the removal of excess heat from specified objects, thereby enhancing the cooling or the chilling effect. Refrigerators come in many sizes and shapes, according to the available expertise, materials, and applications. With the advancement of technology and the emergence of various contemporary issues such as cost, size, and dangerous chemicals among others, researchers are embarking on studies, which can facilitate the design and development of a more efficient refrigerator, capable of performing the desired work as presupposed with minimal problems. The current proposal focuses on Stirling cryocoolers, which have been recognized as one of the most efficient coolers of the current era. The key advantages of these chillers include low power consumption rates as well as the use of non-hazardous refrigerants. -
MODELING and ANALYSIS of PULSE TUBE REFRIGERATOR 1Nishant Solanki, 2Nimesh Parmar
Solanki et al., International Journal of Advanced Engineering Technology E-ISSN 0976-3945 Research Paper MODELING AND ANALYSIS OF PULSE TUBE REFRIGERATOR 1Nishant Solanki, 2Nimesh Parmar Address for Correspondence 1Student, M.E. (Thermal Engineering), Gandhinagar Institute of Technology, Gandhinagar, Gujarat, India 2Asst. Professor, Mechanical Engineering Department, Gandhinagar Institute of Technology, Gandhinagar, Gujarat, India ABSTRACT: Cryogenics comes from the Greek word “kryos”, which means very cold or freezing and “genes” means to produce. Cryogenics is the science and technology associated with the phenomena that occur at very low temperature, close to the lowest theoretically attainable temperature. In this research paper, three dimensional model of pulse tube refrigerator is developed in ANSYS CFX and compared it with experimental results. It shows good agreement with experimental results with ANSYS CFD results. KEYWORDS : Pulse tube refrigerator, ANSYS CFD INTRODUCTION: volume on the thermodynamic performance of The pulse tube refrigerators (PTR) are capable of various components in a simple orifice and a double cooling to temperature below 123K. Unlike the inlet pulse tube cooler by combining a linearized ordinary refrigeration cycles which utilize the vapour model with a thermodynamic analysis. The results compression cycle as described in classical reveal that the performance of the pulse tube cooler is thermodynamics, a PTR implements the theory of significantly affected when the reservoir to pulse tube oscillatory compression and expansion of the gas volume ratio is less than 5, which helps the design of within a closed volume to achieve desired a practical pulse tube cooler. refrigeration. Being oscillatory, a PTR is a non steady Y.L. He, C.F. -
Recording and Evaluating the Pv Diagram with CASSY
LD Heat Physics Thermodynamic cycle Leaflets P2.6.2.4 Hot-air engine: quantitative experiments The hot-air engine as a heat engine: Recording and evaluating the pV diagram with CASSY Objects of the experiment Recording the pV diagram for different heating voltages. Determining the mechanical work per revolution from the enclosed area. Principles The cycle of a heat engine is frequently represented as a closed curve in a pV diagram (p: pressure, V: volume). Here the mechanical work taken from the system is given by the en- closed area: W = − ͛ p ⋅ dV (I) The cycle of the hot-air engine is often described in an idealised form as a Stirling cycle (see Fig. 1), i.e., a succession of isochoric heating (a), isothermal expansion (b), isochoric cooling (c) and isothermal compression (d). This description, however, is a rough approximation because the working piston moves sinusoidally and therefore an isochoric change of state cannot be expected. In this experiment, the pV diagram is recorded with the computer-assisted data acquisition system CASSY for comparison with the real behaviour of the hot-air engine. A pressure sensor measures the pressure p in the cylinder and a displacement sensor measures the position s of the working piston, from which the volume V is calculated. The measured values are immediately displayed on the monitor in a pV diagram. Fig. 1 pV diagram of the Stirling cycle 0210-Wei 1 P2.6.2.4 LD Physics Leaflets Setup Apparatus The experimental setup is illustrated in Fig. 2. 1 hot-air engine . 388 182 1 U-core with yoke . -
Novel Hot Air Engine and Its Mathematical Model – Experimental Measurements and Numerical Analysis
POLLACK PERIODICA An International Journal for Engineering and Information Sciences DOI: 10.1556/606.2019.14.1.5 Vol. 14, No. 1, pp. 47–58 (2019) www.akademiai.com NOVEL HOT AIR ENGINE AND ITS MATHEMATICAL MODEL – EXPERIMENTAL MEASUREMENTS AND NUMERICAL ANALYSIS 1 Gyula KRAMER, 2 Gabor SZEPESI *, 3 Zoltán SIMÉNFALVI 1,2,3 Department of Chemical Machinery, Institute of Energy and Chemical Machinery University of Miskolc, Miskolc-Egyetemváros 3515, Hungary e-mail: [email protected], [email protected], [email protected] Received 11 December 2017; accepted 25 June 2018 Abstract: In the relevant literature there are many types of heat engines. One of those is the group of the so called hot air engines. This paper introduces their world, also introduces the new kind of machine that was developed and built at Department of Chemical Machinery, Institute of Energy and Chemical Machinery, University of Miskolc. Emphasizing the novelty of construction and the working principle are explained. Also the mathematical model of this new engine was prepared and compared to the real model of engine. Keywords: Hot, Air, Engine, Mathematical model 1. Introduction There are three types of volumetric heat engines: the internal combustion engines; steam engines; and hot air engines. The first one is well known, because it is on zenith nowadays. The steam machines are also well known, because their time has just passed, even the elder ones could see those in use. But the hot air engines are forgotten. Our aim is to consider that one. The history of hot air engines is 200 years old. -
Tabletop Thermoacoustic Refrigerator for Demonstrations Daniel A
Tabletop thermoacoustic refrigerator for demonstrations Daniel A. Russell and Pontus Weibulla) Science and Mathematics Department, Kettering University,b͒ Flint, Michigan 48504 ͑Received 29 May 2001; accepted 22 April 2002͒ An inexpensive ͑less than $25͒ tabletop thermoacoustic refrigerator for demonstration purposes was built from a boxed loudspeaker, acrylic tubing and sheet, a roll of 35 mm film, fishing line, an aluminum plug, and two homemade thermocouples. Temperature differences of more than 15 °C were achieved after running the cooler for several minutes. While nowhere near the efficiency of devices described in the literature, this demonstration model effectively illustrates the behavior of a thermoacoustic refrigerator. © 2002 American Association of Physics Teachers. ͓DOI: 10.1119/1.1485720͔ I. INTRODUCTION around a central spindle so that adjacent layers of the spirally wound film provide the stack surfaces. Lengths of 15-lb ny- The basic workings of heat engines and refrigerators are lon fishing line separated adjacent layers of the spirally commonly described in the undergraduate physics curricu- wound film stack so that air could move between the layers lum. Thermoacoustic heat engines and refrigerators, how- along the length of the stack parallel to the length of the ever, are topics usually reserved for graduate level courses resonator tube. Figure 1͑b͒ shows a cross section of the and research. Recent articles in popular scientific journals rolled-film stack, with layers separated by fishing line. have made the concepts behind such devices understandable 1,2 The primary constraint in designing the stack is the fact to a much wider audience. A demonstration apparatus, as that stack layers need to be a few thermal penetration depths described in this note, can effectively introduce students to apart, with four thermal penetration depths being the opti- the physics behind thermoacoustic refrigerators. -
Design of Thermoacoustic Refrigerators M.E.H
Cryogenics 42 (2002) 49–57 www.elsevier.com/locate/cryogenics Design of thermoacoustic refrigerators M.E.H. Tijani, J.C.H. Zeegers, A.T.A.M. de Waele * Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands Received 12 November 2001; accepted 5 December 2001 Abstract In this paper the design of thermoacoustic refrigerators, using the linear thermoacoustic theory, is described. Due to the large number of parameters, a choice of some parameters along with dimensionless independent variables will be introduced. The design strategy described in this paper is a guide for the design and development of thermoacoustic coolers. The optimization of the different parts of the refrigerator will be discussed, and criteria will be given to obtain an optimal system. Ó 2002 Elsevier Science Ltd. All rights reserved. Keywords: Thermoacoustic; Refrigeration 1. Introduction temperature of À65 °C. The measurement results can be found elsewhere [3,4]. The theory of thermoacoustics is well established, but quantitative engineering approach to design thermoa- coustic refrigerators is still lacking in the literature. 2. Design strategy Thermoacoustic refrigerators are systems which use sound to generate cooling power. They consist mainly of We start by considering the design and optimization of a loudspeaker attached to an acoustic resonator (tube) the stack which forms the heart of the cooler. The coef- filled with a gas. In the resonator, a stack consisting of a ficient of performance of the stack, defined as the ratio of number of parallel plates and two heat exchangers, are the heat pumped by the stack to the acoustic power used installed, as shown in Fig. -
Comparison of ORC Turbine and Stirling Engine to Produce Electricity from Gasified Poultry Waste
Sustainability 2014, 6, 5714-5729; doi:10.3390/su6095714 OPEN ACCESS sustainability ISSN 2071-1050 www.mdpi.com/journal/sustainability Article Comparison of ORC Turbine and Stirling Engine to Produce Electricity from Gasified Poultry Waste Franco Cotana 1,†, Antonio Messineo 2,†, Alessandro Petrozzi 1,†,*, Valentina Coccia 1, Gianluca Cavalaglio 1 and Andrea Aquino 1 1 CRB, Centro di Ricerca sulle Biomasse, Via Duranti sn, 06125 Perugia, Italy; E-Mails: [email protected] (F.C.); [email protected] (V.C.); [email protected] (G.C.); [email protected] (A.A.) 2 Università degli Studi di Enna “Kore” Cittadella Universitaria, 94100 Enna, Italy; E-Mail: [email protected] † These authors contributed equally to this work. * Author to whom correspondence should be addressed; E-Mail: [email protected]; Tel.: +39-075-585-3806; Fax: +39-075-515-3321. Received: 25 June 2014; in revised form: 5 August 2014 / Accepted: 12 August 2014 / Published: 28 August 2014 Abstract: The Biomass Research Centre, section of CIRIAF, has recently developed a biomass boiler (300 kW thermal powered), fed by the poultry manure collected in a nearby livestock. All the thermal requirements of the livestock will be covered by the heat produced by gas combustion in the gasifier boiler. Within the activities carried out by the research project ENERPOLL (Energy Valorization of Poultry Manure in a Thermal Power Plant), funded by the Italian Ministry of Agriculture and Forestry, this paper aims at studying an upgrade version of the existing thermal plant, investigating and analyzing the possible applications for electricity production recovering the exceeding thermal energy. A comparison of Organic Rankine Cycle turbines and Stirling engines, to produce electricity from gasified poultry waste, is proposed, evaluating technical and economic parameters, considering actual incentives on renewable produced electricity. -
Mathematical Analysis of Pulse Tube Cryocoolers Technology
Global Journal of researches in engineering Electrical and electronics engineering Volume 12 Issue 6 Version 1.0 May 2012 Type: Double Blind Peer Reviewed International Research Journal Publisher: Global Journals Inc. (USA) Online ISSN: 2249-4596 & Print ISSN: 0975-5861 Mathematical Analysis of Pulse Tube Cryocoolers Technology By Shashank Kumar Kushwaha , Amit medhavi & Ravi Prakash Vishvakarma K.N.I.T Sultanpur Abstract - The cryocoolers are being developed for use in space and in terrestrial applications where combinations of long lifetime, high efficiency, compactness, low mass, low vibration, flexible interfacing, load variability, and reliability are essential. Pulse tube cryocoolers are now being used or considered for use in cooling infrared detectors for many space applications. In the development of these systems, as presented in this paper, first the system is analyzed theoretically. Based on the conservation of mass, the equation of motion, the conservation of energy, and the equation of state of a real gas a general model of the pulse tube refrigerator is made. The use of the harmonic approximation simplifies the differential equations of the model, as the time dependency can be solved explicitly and separately from the other dependencies. The model applies only to systems in the steady state. Time dependent effects, such as the cool down, are not described. From the relations the system performance is analyzed. And also we are describing pulse tube refrigeration mathematical models. There are three mathematical order models: first is analyzed enthalpy flow model and heat pumping flow model, second is analyzed adiabatic and isothermal model and third is flow chart of the computer program for numerical simulation. -
Vapor Precooling in a Pulse Tube Liquefier
Presented at the 11th International Cryocooler Conference June 20-22, 2000 Keystone, Co Vapor Precooling in a Pulse Tube Liquefier E.D. Marquardt, Ray Radebaugh, and A.P. Peskin National Institute of Standards and Technology Boulder, CO 80303 ABSTRACT Experiments were performed to study the effects of introducing vapor into a dewar where a coaxial pulse tube refrigerator was used as a liquefier in the neck of the dewar. We were concerned about how the introduction of vapor might impact the refrigeration load as the vapor barrier in the neck of the dewar is disturbed. Three experiments were performed where the input power to the cooler was held constant and the nitrogen liquefaction rate was measured. The first test introduced the vapor at the top of the dewar neck. Another introduced the vapor directly to the cold head through a small tube, leaving the neck vapor barrier undisturbed. The third test placed a heat exchanger partway down the regenerator where the vapor was pre-cooled before being liquefied at the cold head. This experiment also left the neck vapor barrier undisturbed. Compared to the test where the vapor was introduced directly to the cold head, the heat exchanger test increased the liquefaction rate by 12.0%. The experiment where vapor was introduced at the top of the dewar increased the liquefaction rate by 17.2%. A computational fluid dynamics model was constructed of the dewar neck and liquefier to show how the regenerator outer wall acted as a pre-cooler to the incoming vapor steam, eliminating the need for the heat exchanger. -
Thermo-Acoustic Refrigeration
ISSN (Print) : 2320 – 3765 ISSN (Online): 2278 – 8875 International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering (An ISO 3297: 2007 Certified Organization) Website: www.ijareeie.com Vol. 6, Issue 4, April 2017 Thermo-Acoustic Refrigeration HimanshuPanjiar Department of Mechanical Engineering, Galgotias University, Yamuna Expressway Greater Noida, Uttar Pradesh, India ABSTRACT: Ordinary refrigeration system is being utilized broadly for cooling purposes utilizing different compound refrigerants as of now. Notwithstanding, this present situation represents a significant danger to the earth as the release of unsafe gases like “Chloro-Fluoro Carbon (CFC)”, “Hydro Chloro-Fluoro Carbon (HCFC)” are on the ascent because of the excess utilization of synthetics, and the prerequisite for refrigeration system is expanding. Thus, there is a need to discover an option in contrast to regular refrigeration. “Thermo-acoustic refrigeration system” is one of the harmless kinds of refrigeration system, which offers a wide scope of degree for additional examination. Some key favourable circumstances incorporate no emanation of destructive ozone exhausting gases as synthetic refrigerants are not required and the nearness of no moving parts. The significant inconvenience of the strategy is lesser “Coefficient of Performance”. This field is gathering the consideration of numerous specialists as it consolidates both the orders of heat and acoustics. Specialists have discovered the impact of different parameters of the segments, the working liquid, and the geometry of the resonator on the exhibition of the gadget. Recreations utilizing programming are likewise being created now and again. To introduce a point by point outline on the process and working of the refrigeration system utilizing high force sound waves.