Power recovery from low- grade heat by means of screw expanders Related titles: Fundamentals of fl uid fl ow: Physics, numerical analysis, and measurement techniques (ISBN 978–0–85709–477–3) Engineering systems acquisition and support (ISBN 978–0–85709–212–0) Parameter identifi cation and monitoring of mechanical systems under nonlinear vibration (ISBN 978–1–78242–165–8) Power recovery from low- grade heat by means of screw expanders I K. S AN MITH N S IKOLA TOSIC A K HMED OVACEVIC amsterdam (cid:129) boston (cid:129) cambridge (cid:129) heidelberg (cid:129) london new york (cid:129) oxford (cid:129) paris (cid:129) san diego san francisco (cid:129) singapore (cid:129) sydney (cid:129) tokyo Woodhead Publishing is an imprint of Elsevier Woodhead Publishing is an imprint of Elsevier 80 High Street, Sawston, Cambridge, CB22 3HJ, UK 225 Wyman Street, Waltham, MA 02451, USA Langford Lane, Kidlington, OX5 1GB, UK Copyright © 2014 Woodhead Publishing Limited. 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British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library Library of Congress Control Number: 2013957390 ISBN 978-1-78242-189-4 (print) ISBN 978-1-78242-190-0 (online) For information on all Woodhead Publishing publications visit our website at http://store.elsevier.com/ Typeset by Refi neCatch Limited, Bungay, Suffolk Printed and bound in the United Kingdom List of fi gures 1.1 T ypes of positive displacement machines 3 1.2 A ssembled view of a screw expander 4 1.3 E xploded view of a screw expander 4 1.4 P rinciple of operation of a screw expander 5 1.5 I llustration of a blow- hole 7 1.6 O il- fl ooded and oil- free compressors 9 1.7 O il- free compressor/expander lubrication system 11 1.8 O il- injected expander lubrication system 12 2.1 I nternal combustion engine 14 2.2 P ower plant receiving heat from process steam 17 2.3 P ower plant receiving heat from a hot fl uid 18 2.4 I nfi nitesimal heat engine 20 2.5 T emperature–entropy diagram for ideal recovery of power from a hot fl uid stream 20 2.6 I deal cycles between a fi nite heat source and an infi nite heat sink 21 2.7 P ower plant receiving heat from and rejecting to external fl uid streams 22 2.8 I deal cycles between a fi nite heat source and a fi nite heat sink 23 2 .9 C omparison of Carnot cycle with ideal trilateral cycle 24 2.10 The effect of the fl uid exit temperature on ideal effi ciency and power output 26 ix Power recovery using screw expanders 2.11 Pressure–volume diagrams for power plant cycles based on fl ow and non- fl ow processes 27 2.12 The effect of work ratio on practical cycle effi ciency 30 2.13 The ideal trilateral cycle using a perfect gas 31 2.14 Comparison of ideal and achievable trilateral cycle effi ciency using a perfect gas 32 2.15 The ideal quadlateral cycle using a perfect gas 33 2.16 Comparison of ideal and achievable quadlateral cycle effi ciencies using a perfect gas 33 2.17 Ideal trilateral and quadlateral cycles matched to the heat source and sink 35 2.18 Ideal Stirling cycle on p – V and T – s coordinates 36 2.19 Heat transfer as a function of temperature for a single- phase heating medium 37 2.20 Temperature–entropy diagram of ideal Stirling cycle with heat source and sink 38 2.21 Comparison of performance of ideal quadlateral and Stirling cycles using a perfect gas 39 2.22 Comparison of performance of practical quadlateral and Stirling cycles 40 2.23 Simple Rankine cycle system using steam as the working fl uid 42 2.24 Comparison of ideal steam Rankine and ideal gas cycles 43 2.25 Comparison of practical steam Rankine and practical gas cycles 43 2.26 Trilateral fl ash cycle (TFC) system and components 44 2.27 Comparison of performance of trilateral fl ash cycles (TFC) and ideal trilateral cycle 45 x List of fi gures 2.28 TFC temperature matching to a limited minimum temperature heat source 47 2.29 Improving the Rankine cycle matching to its heat source 47 2.30 Temperature–entropy diagram for various working fl uids 49 2.31 Matching the cycle to the heat source with saturated, superheated and supercritical cycles 50 2.32 Improving the cycle effi ciency with a recuperative heat exchanger 52 2.33 The relationship between saturated vapour pressure and temperature for pure fl uids 55 2.34 Common working fl uids with a saturated liquid line slope approximately equal to that of water 56 3.1 S crew rotor profi le 61 3.2 M ost popular screw compressor rotors 65 3.3 C oordinate system of helical gears with non- parallel and non- intersecting axes 67 3.4 E xample of a gate rotor enveloped by its main counterpart using direct digital simulation 72 3.5 S crew expander rotors with parallel shafts and their coordinate systems 72 3.6 D emonstrator profi le with its details 77 3.7 C ity University ‘N’ profi le details 79 3.8 ‘ N’ rotors compared with Sigma, SRM ‘D’ and Cyclon rotors 80 3.9 R otor shafts in the expander housing and displacement in bearings, and coordinate systems of rotors with intersecting shafts 82 3.10 Rotor manufacturing tools: hobbing tool and milling/grinding tool 86 xi Power recovery using screw expanders 3.11 Rotor and tool coordinate systems 88 3.12 Drawing of typical screw rotors and housing assembled in a screw expander with low- pressure side bearings on the left and high-p ressure side bearings on the right 91 4.1 A n example of volumetric change with rotation in a screw expander 94 4.2 A typical estimated p – V diagram of a two- phase expansion process 114 4.3 P redicted and measured pressure change with rotation in a 163 mm diameter rotor screw expander operating at 10 m/s tip speed with R113 as the working fl uid 115 4.4 P redicted and measured pressure change with rotation in a 163 mm diameter rotor screw expander operating at 20 m/s tip speed with R113 as the working fl uid 115 4.5 P ressure forces acting on screw machine rotors 117 5.1 G eneral layout of process fl uid bearing lubrication for closed- cycle organic fl uid power system 130 5.2 G eneral layout of expander- generator within a larger system 131 5.3 A 100 kWe industrial process steam screw expander 134 5.4 S ingle fl ash steam system for geothermal power generation 135 5.5 D ouble fl ash steam system for geothermal power generation 135 5.6 S ingle fl ash steam system with screw expander 136 xii List of fi gures 5.7 D ouble fl ash steam system with single screw expander 137 5.8 B asic vapour compression refrigeration system 139 5.9 V apour compression refrigeration system with economiser 140 5.10 An expressor in a vapour compression system 141 5.11 The effect of the wrap angle on the trapped volume 142 5.12 Expansion and recompression in one pair of rotors 143 5.13 The expressor as a single rotor pair unit 144 5.14 Expressor components 144 5.15 Prototype expressor units 145 5.16 Expressor rotor pair for separating the working chamber into two sections 146 5.17 Expressor rotor profi le 146 5.18 Cross- section of an expressor with separate expansion and compression working chambers 147 5.19 Expressor casing with separate expansion and compression working chambers 147 5.20 Screw compressor-e xpander 148 5.21 Carbon dioxide refrigeration system 150 5.22 Estimated performance improvements in an ideal transcritical CO cycle system 2 with combined compression and two- phase expansion 150 5.23 Estimated performance improvement in a subcritical CO system using a 2 compressor expander 151 5.24 Prototype fuel cell compressor- expander components 152 xiii Power recovery using screw expanders 5.25 Fuel cell compressor- expander revised casing design 152 5.26 Saturated Rankine cycle system with organic working fl uid 155 5.27 Wet organic Rankine cycle (WORC) 156 5.28 A 50 kWe screw expander- driven industrial WORC system 157 5.29 Trilateral fl ash cycle (TFC) 157 5.30 Higher temperature two- phase expansion cycle system 159 5.31 Recuperated higher temperature two- phase expansion system 160 5.32 Recuperated supercritical ORC system 162 5.33 Superheated ORC system with recuperator 164 5.34 Direct contact regenerative feed heating 166 5.35 Indirect contact regenerative feed heating 167 5.36 (W)ORC system with regenerative feed heating obtaining heat from a low- grade heat source 168 5.37 Dual pressure cycle with dry vapour expansion 170 5.38 Dual pressure cycle system 171 5.39 Binary cycle system with different working fl uids in the topping and bottoming cycles 172 5.40 Superheated and saturated steam evaporative temperatures with maximum exhaust gas heat recovery 174 5.41 ORC system for exhaust gas heat recovery with intermediate thermal loop 174 5.42 Wet steam cycle for exhaust gas heat recovery 176 5.43 Combined wet steam–ORC system 178 5.44 Combined screw–turbine wet steam system 179 xiv