Purdue University
January 2015
STIRLOCHARGER POWERED BY EXHAUST HEAT FOR HIGH EFFICIENCY COMBUSTION AND ELECTRIC GENERTION
Adhiraj B. Mathur
Purdue University
Follow this and additional works at: htps://docs.lib.purdue.edu/open_access_theses
Recommended Citation
Mathur, Adhiraj B., "STIRLOCHARGER POWERED BY EXHAUST HEAT FOR HIGH EFFICIENCY COMBUSTION AND ELECTRIC GENERTION" (2015). Open Access eses. 1153.
htps://docs.lib.purdue.edu/open_access_theses/1153
is document has been made available through Purdue e-Pubs, a service of the Purdue University Libraries. Please contact [email protected] for additional information.
STIRLOCHARGER POWERED BY EXHAUST HEAT FOR HIGH EFFICIENCY COMBUSTION AND
ELECTRIC GENERATION
A Thesis
Submitted to the Faculty of
Purdue University by
Adhiraj B. Mathur
In Partial Fulfillment of the Requirements for the Degree of
Master of Science in Mechanical Engineering Technology
December 2015 Purdue University
West Lafayette, Indiana ii
ACKNOWLEDGEMENTS
I would like to thank my advisor Dr. Henry Zhang, the advisory committee, my family and friends for supporting me through this journey. iii
TABLE OF CONTENTS
Page
LIST OF TABLES....................................................................................................................vi LIST OF FIGURES.................................................................................................................vii LIST OF ABBREVIATIONS .....................................................................................................xi ABSTRACT..........................................................................................................................xiii CHAPTER 1 INTRODUCTION............................................................................................. 1
1.1 1.2
Scope............................................................................................................. 3
Significance ............................................................................................... 4
1.3 1.4 1.5 1.6 1.7 1.8
Research Question .................................................................................... 5 Assumptions.............................................................................................. 6 Limitations................................................................................................. 6 Delimitations............................................................................................. 7 Definition of Key Terms............................................................................. 7 Summary ................................................................................................... 8
CHAPTER 2 LITERATURE REVIEW..................................................................................... 9
Performance of Stirling Engines.............................................................. 13
Study of torque on a β-type Stirling engine..................................... 13 Study of torque and pressure of a Stirling engine ........................... 15 Variations of volume with crank angle ............................................ 18 Study of noise................................................................................... 22 Turbocharger performance in low exhaust environment ............... 24 Heat transfer from the turbine wall to compressor wall................. 26
2.2
2.2.1 2.2.2 2.2.3 2.2.4 2.2.5 2.2.6 iv
Page
Friction losses in Turbochargers ...................................................... 29 Super Stirling Engine ........................................................................ 32 Working fluids for Stirling engines................................................... 34 Stirling engine design parameters ................................................... 35 Stirling engine with a low temperature differential ........................ 36 β-Stirling engine with a rhombic drive............................................. 37 Summary .......................................................................................... 39
2.2.7 2.2.8 2.2.9 2.2.10 2.2.11 2.2.12 2.3
CHAPTER 3 RESEARCH METHODOLOGY ........................................................................ 41
3.1
3.2 3.3
Data Collection Methods ........................................................................ 41 Analysis.................................................................................................... 44 Threats To Validity .................................................................................. 45
CHAPTER 4 RESULTS....................................................................................................... 46
Engine to Stirlocharger Relationship....................................................... 46 Pressure of Working Gas In Stirlocharger............................................... 47 β-Stirlocharger Power ............................................................................. 49 α-Stirlocharger Power ............................................................................. 50 Compressor Speed of Stirlocharger ........................................................ 50 Compressor Boost Pressure.................................................................... 51 Stirlocharger Compressor Mass Flow Rate............................................. 52 Stirlocharger Thermal Efficiency............................................................. 53 Response Time of Stirlocharger .............................................................. 54 Gear Train Analysis.................................................................................. 55 Numerical Simulations ............................................................................ 56 β-Stirlocharger.................................................................................. 56 α-Stirlocharger.................................................................................. 60
4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 4.11 4.12
4.12.1 4.12.2
CHAPTER 5 SUMMARY, CONCLUSIONS AND RECOMMENDATIONS............................. 64
- 5.1
- MODEL ........................................................................................................ 64
v
Page
3D Model of the α-Stirlocharger...................................................... 66
MANUFACTURED PROTOTYPE ................................................................ 68 β-Stirlocharger Prototype ................................................................ 68 α-Stirlocharger Prototype ................................................................ 70
Baseline Tests.......................................................................................... 71
Torque Test on Compressor Impellor .............................................. 71
Turbine Backpressure Measurement Test.............................................. 72
Turbine without the compressor attached...................................... 74 Turbine with the compressor attached ........................................... 75 Backpressure Test Results................................................................ 75
Conclusions ............................................................................................. 77 Design...................................................................................................... 77
Performance..................................................................................... 80 Conclusion........................................................................................ 87
Recommendations .................................................................................. 89
5.1.2
5.2
5.2.1 5.2.2
5.3
5.3.1
5.4
5.4.1 5.4.2 5.4.3
5.5 5.5.1
5.5.2 5.5.3
5.6
LIST OF REFERENCES ................................................................................................... 91 APPENDIX ................................................................................................................... 94
vi
LIST OF TABLES
Table...............................................................................................................................Page
Table 2.2-1: Relative heat transfer characteristics for various gases (Thombare, 2006). 35
Table 5-1: β-Stirlocharger Specifications .......................................................................... 65 Table 5-2: α-Stirlocharger Specifications .......................................................................... 67 vii
LIST OF FIGURES
Figure .............................................................................................................................Page
Figure 2-1: The β-Stirling Engine Schematic(Foster, 2011) .............................................. 11 Figure 2-2: The Ideal Stirling cycle (Scollo, 2008) ............................................................. 12 Figure 2-3: Variation of cold Power and Torque as engine speed is increased for heater temperature 350°C of a β-Stirling(Sripakgorn et. al., 2010)............................................. 17 Figure 2-4: Variation of cold volume, hot volume, and total volume with crank angle (Karabulet et. al., 2010). ................................................................................................... 18 Figure 2-5: Variation of brake power with engine speed (Karabulet et. al., 2010).......... 21 Figure 2-6: Variation of brake power and engine torque with charge pressure (Karabulet et. al., 2010). ..................................................................................................................... 21 Figure 2-7: Direction of heat flux in a Turbocharger system (Aghaali, 2013)................... 28 Figure 2-8: Stirling cycle with single multi-phase working fluid (Gu, 2001) ..................... 36 Figure.2-9: Rhombic drive mechanism for a β-Stirling engine (Cheng, 2013).................. 38 Figure 3-1: Proposed sensor location and Stirlocharger Schematic................................. 42 Figure 4-1: Planetary Gear Train Schematic ..................................................................... 55 Figure 4-2: The variation in the hot and cold volumes of the β-Stirlocharger. ................ 56 viii
- Figure
- Page
Figure 4-3: The pressure of the β-Stirlocharger is shown with respect to the crank angle. The peak pressure is 147.98 kPa....................................................................................... 57 Figure 4-4: The simulated power of the β-Stirlocharger using the equations described in section 4.2......................................................................................................................... 57 Figure 4-5: Simulated Speed of the β-Stirlocharger using the equations in described in section 4.3......................................................................................................................... 58 Figure 4-6: Simulated output Boost Pressure of the β-Stirlocharger. .............................. 58 Figure 4-7: Simulated mass flow rate of air through the β-Stirlocharger compressor. ... 59 Figure 4-8: Simulated β-Stirlocharger thermal efficiency................................................. 59 Figure 4-9: The variation in the hot and cold volumes of the α-Stirlocharger. ................ 60 Figure 4-10: The pressure of the α-Stirlocharger is shown with respect to the crank angle. The peak pressure is 2550 kPa.......................................................................................... 60 Figure 4-11: The simulated power of the α-Stirlocharger using the equations described in section 4.2......................................................................................................................... 61 Figure 4-12: Simulated Speed of the α-Stirlocharger using the equations in described in section 4.3......................................................................................................................... 61 Figure 4-13: Simulated output Boost Pressure of the α-Stirlocharger............................. 62 Figure 4-14: Simulated mass flow rate of air through the α-Stirlocharger compressor... 62 Figure 4-15: Simulated β-Stirlocharger thermal efficiency............................................... 63 Figure 5-1: β-Stirlocharger 3D Model Schematic.............................................................. 64 ix
- Figure
- Page
Figure 5-2: α-Stirlocharger 3D Model Schematic.............................................................. 66 Figure 5-3: α-Stirlocharger Piston-Cylinder Rotational Schematic. (a) Normal position of the piston-cylinder, piston near pivot. (b) Piston-Cylinder rotates 15° CW as Piston approached TDC. (c) Piston-Cylinder rotates 15° CCW as Piston approached BDC......... 67 Figure 5-4: β-Stirlocharger................................................................................................ 68 Figure 5-5: Interior cylinder friction Zone......................................................................... 69 Figure 5-6: Force acting on the piston for (a) Stationary condition, (b) Pulling outward condition, (c) Pushing inward condition ........................................................................... 69 Figure 5-7: α-Stirlocharger................................................................................................ 70 Figure 5-8: α-Stirlocharger Flywheel Pivot........................................................................ 71 Figure 5-9: Impellor with Aluminum arm and thread loading.......................................... 72 Figure 5-10: Backpressure Test Bench.............................................................................. 73 Figure 5-11: Backpressure test schematic without compressor ...................................... 75 Figure 5-12: Air velocity measurements taken within the exhaust manifold of the test bench................................................................................................................................. 76 Figure 5-13: Pressure Differential measurements taken within the exhaust manifold of the test bench................................................................................................................... 77 Figure 6-1: A comparison of the β and α Stirlocharger output power .............................. 80 x
- Figure
- Page
Figure 6-2: Increase in the area within the P-V diagram for the Stirlocharger. (a) P-V diagram for β-Stirlocharger at engine speed 100 RPM, (b) P-V diagram for β- Stirlocharger at engine speed 6000 RPM, (c) P-V diagram for α-Stirlocharger at engine speed 100 RPM, (d) P-V diagram for α-Stirlocharger at engine speed 6000 RPM ........... 82 Figure 6-3: Comparison between the Speed of the Stirlocharger for α and β engines.... 82 Figure 6-4: Comparison of the boost pressure generated by the α and β engines.......... 83 Figure 6-5: IHI RHF4 Compressor Map showing the peak and average dP produced by the α-Stirlocharger............................................................................................................ 84 Figure 6-6: A comparison of the α and β Stirlocarger compressor mass flow rates. ....... 85 Figure 6-7: A comparison of the thermal efficiencies between the α and β Stirlochargers.................................................................................................................... 86 Figure 6-8: Comparison of the affect on engine performance between the α and β engine................................................................................................................................ 87 xi
LIST OF ABBREVIATIONS
- IC
- Internal Combustion
EGR Exhaust Gas Recirculation