Fourth Edition A. M. Y. Razak Professor of Turbomachinery Institute of Aerospace Propulsion University of Manchester McGraw-Hill Education New York • Chicago • San Francisco • Athens • London • Madrid • Mexico City Milan • New Delhi • Singapore • Sydney • Toronto Copyright © 2026 by McGraw-Hill Education All rights reserved. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of McGraw-Hill Education, including, but not limited to, network or other electronic storage or transmission, or broadcast for distance learning.
Appendix B: Turbomachinery Design Software Guide Appendix C: Answers to Selected Problems Index Preface to the Fourth Edition The three previous editions of Turbines, Compressors, and Fans have been used worldwide by undergraduate and graduate students, practicing engineers, and researchers in aerospace, power generation, and industrial process industries. The continued evolution of turbomachinery — driven by net-zero carbon targets, additive manufacturing, and digital twins — necessitated a thorough update. Turbines Compressors And Fans Fourth Edition
ISBN: 978-1-260-14789-2 MHD: 1-260-14789-5 Fourth Edition A
Stage pressure ratio ( \pi_s = 1.3 ), number of stages ( n = \frac\ln 15\ln 1.3 = \frac2.7080.262 \approx 10.3 ), so 10 stages (final ratio slightly adjusted). The continued evolution of turbomachinery — driven by
Printed in the United States of America
Outlet temperature from polytropic relation: [ \fracT_02T_01 = \left(\fracp_02p_01\right)^\frac\gamma-1\gamma \eta_p = (15)^\frac0.41.4 \times 0.89 \approx 15^0.321 = 2.39 ] So ( T_02 = 288 \times 2.39 = 688\ \textK ).
Let subscripts 1, 2, 3 denote rotor inlet, rotor outlet, and stator outlet respectively. For axial velocity constant ( C_x ) (free-vortex design assumed), the specific work input per stage is: [ \Delta h_0 = U (C_\theta 2 - C_\theta 1) ] where ( C_\theta ) is the tangential component. Using the change in relative tangential velocity: [ \Delta h_0 = U (W_\theta 1 - W_\theta 2) ]