Turbines, Compressors and Fans_S. M. Yahya

Scilab Textbook Companion for Turbines, Compressors And Fans by S. M. Yahya1 Created by Ankur Garg M.TECH. Mechanical Engineering National Institute of Technology, Tiruchirappalli College Teacher Dr. M. Udayakumar Cross-Checked by Bhavani Bhavani Jalkrish May 30, 2016

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Funded by a grant from the National Mission on Education through ICT, http://spoken-tutorial.org/NMEICT-Intro. This Textbook Companion and Scilab codes written in it can be downloaded from the ”Textbook Companion Project” section at the website http://scilab.in

Book Description Title:  Turbines, Compressors And Fans Author:  S. M. Yahya Publisher:  Tata Mcgraw Hill Education Pvt. Ltd., New Delhi Edition: 4 Year:   2011 ISBN:   0-07-070702-2

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Book Description Title:  Turbines, Compressors And Fans Author:  S. M. Yahya Publisher:  Tata Mcgraw Hill Education Pvt. Ltd., New Delhi Edition: 4 Year:   2011 ISBN:   0-07-070702-2

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Scilab numbering policy used in this document and the relation to the above book. Exa  Example (Solved example) Eqn  Equation (Particular equation of the above book) AP  Appendix to Example(Scilab Code that is an Appednix to a particular

Example of the above book) For example, Exa 3.51 means solved example 3.51 of this book. Sec 2.3 means a scilab code whose theory is explained in Section 2.3 of the book.

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Contents List of Scilab Codes

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2 Thermodynamics

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3 Gas Turbine Plants

13

4 Steam Turbine Plants

20

5 Combined Cycle Plants

27

6 Fluid dynamics

31

7 Dimensional Analysis and Performance Parameters

34

8 Flow Through Cascades

40

9 Axial Turbine Stages

47

11 Axial Compressor Stages

60

12 Centrifugal Compressor Stage

73

13 Radial Turbine Stages

81

14 Axial Fans and Propellers

87

15 Centrifugal Fans and Blowers

94

16 Wind Turbines

97

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18 Miscellaneous Solved Problems in Turbomachines

4

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List of Scilab Codes Exa 2.1 Exa 2.2 Exa 2.3 Exa 2.4 Exa 2.5 Exa 2.6 Exa 3.1 Exa 3.2 Exa 3.3 Exa 3.4 Exa 3.5 Exa 4.1 Exa 4.2 Exa 4.3 Exa 5.1 Exa 5.2 Exa 6.1 Exa 6.2 Exa 6.3 Exa 7.1 Exa 7.2 Exa 7.3 Exa 7.4 Exa 8.1 Exa 8.2 Exa 8.3 Exa 8.4 Exa 8.5

Calculation on a Diffuser . . . . . . . . . . . . . . . . Determining the infinitesimal stage efficiencies . . . . . Calculations on air compressor . . . . . . . . . . . . . compressor with same temperature rise . . . . . . . . Calculations on three stage gas turbine . . . . . . . . . Calculations on a Gas Turbine . . . . . . . . . . . . . Constant Pressure Gas Turbine Plant . . . . . . . . . Gas Turbine Plant with an exhaust HE . . . . . . . . ideal reheat cycle Gas Turbine Plant   . . . . . . . . . . Calculations on Gas Turbine Plant   . . . . . . . . . . . Calculations on Gas Turbine Plant . . . . . . . . . . Calculations on Steam Turbine Plant . . . . . . . . . Steam Turbine Plant for different reheat cycles   . . . . Calculations on Steam Turbine Plant . . . . . . . . . . Calculation on combined cycle power plant . . . . . . combined gas and steam cycle power plant . . . . . . . inward flow radial turbine 32000rpm   . . . . . . . . . . radially tipped Centrifugal blower 3000rpm . . . . . . Calculation on an axial flow fan . . . . . . . . . . . . . Calculation for the specific speed   . . . . . . . . . . . . Calculating the discharge and specific speed . . . . . . Calculation on a small compressor . . . . . . . . . . . Calculation on design of a single stage gas turbine   . . Calculation on a compressor cascade   . . . . . . . . . . Calculation on a turbine blade row cascade . . . . . . Calculation on a compressor cascade   . . . . . . . . . . Calculation on a blower type annular cascade tunnel . Calculation on a compressor type radial cascade tunnel 5

5 6 7 8 9 11 13 14 15 16 17 20 22 23 27 29 31 32 33 34 36 36 38 40 41 42 44 45

Exa 9.1 Exa 9.2 Exa 9.3 Exa 9.4 Exa 9.5 Exa 11.1 Exa 11.2 Exa 11.3 Exa 11.4 Exa 11.5 Exa 11.6 Exa 11.7 Exa 12.1 Exa 12.2 Exa 12.3 Exa 12.4 Exa 12.5 Exa 13.1 Exa 13.2 Exa 13.3 Exa 14.1 Exa 14.2 Exa 14.3 Exa 14.4 Exa 14.5 Exa 14.6 Exa 15.1 Exa 15.2 Exa 16.1 Exa 18.1 Exa 18.2 Exa 18.3 Exa 18.4 Exa 18.5 Exa 18.6 Exa 18.7 Exa 18.8 Exa 18.9

Calculation on multi stage turbine   . . . . . . . Calculation on an axial turbine stage . . . . . . Calculation on an axial turbine stage . . . . . axial turbine stage 3000 rpm . . . . . . . . . . Calculation on a gas turbine stage . . . . . . . Calculation on an axial compressor stage . . . Calculation on an axial compressor stage . . . Calculation on an axial compressor stage . . . . Calculation on hub mean and tip sections   . . . Forced Vortex axial compressor stage . . . . . General Swirl Distribution axial compressor   . . flow and loading coefficients . . . . . . . . . . Calculation on a centrifugal compressor stage   . Calculation on a centrifugal air compressor . . centrifugal compressor stage 17000 rpm . . . . Radially tipped blade impeller . . . . . . . . . Radially tipped blade impeller . . . . . . . . . ninety degree IFR turbine   . . . . . . . . . . . . Mach Number and loss coefficient . . . . . . . . IFR turbine with Cantilever Blades . . . . . . . Axial fan stage 960 rpm   . . . . . . . . . . . . . Downstream guide vanes . . . . . . . . . . . . . upstream guide vanes . . . . . . . . . . . . . . rotor and upstream guide blades . . . . . . . . DGVs and upstream guide vanes   . . . . . . . . open propeller fan . . . . . . . . . . . . . . . . Centrifugal fan stage 1450 rpm   . . . . . . . . . Centrifugal blower 3000 rpm . . . . . . . . . . Wind turbine output 100 kW   . . . . . . . . . . Gas Turbine nozzle row . . . . . . . . . . . . . Steam Turbine nozzle . . . . . . . . . . . . . . Irreversible flow in nozzles . . . . . . . . . . . . Calculation on a Diffuser . . . . . . . . . . . . Calculation on a Draft Tube . . . . . . . . . . Calculations on a Gas Turbine . . . . . . . . . RHF of a three stage turbine . . . . . . . . . . Calculation on an air compressor   . . . . . . . . Constant Pressure Gas Turbine Plant . . . . . 6

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47 50 53 56 57 60 62 63 64 66 69 71 73 74 75 78 78 81 83 85 87 88 89 90 91 92 94 95 97 99 100 102 102 103 104 105 106 108

Exa 18.10 Exa 18.11 Exa 18.12 Exa 18.13 Exa 18.15 Exa 18.16 Exa 18.17 Exa 18.18 Exa 18.19 Exa 18.20 Exa 18.21 Exa 18.22 Exa 18.23 Exa 18.24 Exa 18.25 Exa 18.26 Exa 18.27 Exa 18.28 Exa 18.29 Exa 18.30 Exa 18.31 Exa 18.32 Exa 18.33 Exa 18.34 Exa 18.35 Exa 18.37 Exa 18.38 Exa 18.39 Exa 18.40 Exa 18.41 Exa 18.42 Exa 18.43 Exa 18.44 Exa 18.45 Exa 18.46 Exa 18.47 Exa 18.48 Exa 18.49

Calculation on combined cycle power plant . . . . Calculation on combined cycle power plant . . . . turbo prop Gas Turbine Engine . . . . . . . . . . . Turbojet Gas Turbine Engine  . . . . . . . . . . . . Impulse Steam Turbine 3000 rpm . . . . . . . . . . large Centrifugal pump 1000 rpm  . . . . . . . . . . three stage steam turbine . . . . . . . . . . . . . . Ljungstrom turbine 3600 rpm  . . . . . . . . . . . . blower type wind tunnel   . . . . . . . . . . . . . . . Calculation on an axial turbine cascade . . . . . . low reaction turbine stage   . . . . . . . . . . . . . . Isentropic or Stage Terminal Velocity for Turbines   axial compressor stage efficiency . . . . . . . . . . Calculation on an axial compressor cascade . . . . Calculation on two stage axial compressor   . . . . . Calculation on an axial compressor cascade . . . . Isentropic Flow Centrifugal Air compressor . . . . centrifugal Air compressor . . . . . . . . . . . . . . Centrifugal compressor with vaned diffuser . . . . Inward Flow Radial Gas turbine . . . . . . . . . . Cantilever Type IFR turbine . . . . . . . . . . . . IFR turbine stage efficiency   . . . . . . . . . . . . . Vertical Axis Crossflow Wind turbine . . . . . . . Counter Rotating fan . . . . . . . . . . . . . . . . Sirocco Radial fan 1440 rpm . . . . . . . . . . . . Calculation for the specific speed   . . . . . . . . . . Kaplan turbine 70 rpm . . . . . . . . . . . . . . . Calculation for Pelton Wheel prototype . . . . . . Francis turbine 910 rpm   . . . . . . . . . . . . . . . Calculation for the Pelton Wheel   . . . . . . . . . . Calculation for Tidal Power Plant . . . . . . . . . Francis turbine 250 rpm   . . . . . . . . . . . . . . . Pelton Wheel 360 rpm  . . . . . . . . . . . . . . . . Kaplan turbine 120 rpm  . . . . . . . . . . . . . . . Fourneyron Turbine 360 rpm . . . . . . . . . . . . Crossflow Radial Hydro turbine . . . . . . . . . . . Calculation on a Draft Tube . . . . . . . . . . . . Centrifugal pump 890 kW  . . . . . . . . . . . . . . 7

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110 112 114 115 117 119 120 121 122 124 125 127 128 128 129 131 132 134 135 137 139 140 141 142 143 144 146 147 147 148 149 150 151 153 154 155 156 157