Course Content:

The equations of motion in rotating coordinate system, effect of Coriolis and Centrifugal forces, energy equation; classification of turbomachines; two-dimensional cascade theory; fundamentals, two-dimensional analysis, angular momentum & energy transfer, h-s diagram, degree of reaction, effect of Mach number, performance and efficiency; three-dimensional flow in axial turbomachines, radial equilibrium, secondary flow, tip clearance and loss estimation; radial and mixed flow machines; multistage axial compressors and turbines; prediction of stage performance and effect of stacking; rotating stall and surge; turbine blade heat load and blade cooling; application of CFD in analysis and design of turbomachinery; discussion on experimental methods to measure flow and thermal fields in turbomachines.

Lecturewise Breakup (Based on 40 lecture)

I. Introduction:

• Classification of impellers: axial flow, radial flow and mixed flow machines, the equations of motion in rotating frame of reference, effect of Coriolis and Centrifugal forces, momentum and energy equation, Euler equation, similarity rules and Cordier diagram.

II. Aerofoil Theory:

• Fundamentals, isolated aerofoil, generation of lift, cascade of aerofoil, Kutta-Joukowsky relation, conformal transformation.

III. Cascade Analysis:

• Two-dimensional cascade theory, lift and drag, blade efficiency, estimation of loss, cascade nomenclature, compressor and turbine cascade.

IV. Axial Flow Machine:

• Two-dimensional pitch line design and analysis, h-s diagram, degree of reaction, effect of Mach number, performance and efficiency, three-dimensional flow in axial turbomachines, radial equilibrium, secondary flow, tip clearance and loss

V. Radial and Mixed Flow Machine:

• Analysis and design, effect of circulation and Coriolis forces, reversal eddies and slip factor.

VI. Multistage Machine:

• Analysis of multistage axial compressors and turbines, prediction of stage performance and effect of stacking; rotating stall and surge, turbine blade heat load and blade cooling.

VII. Experiments and CFD:

• Discussion on experimental methods to measure flow and thermal fields in turbomachines, applications of CFD in analysis and design of turbomachinery.

References:

1. Fluid Dynamics and Heat Transfer of Turbomachinery, by Budugur Lakshminarayana;ISBN: 978-0-471-85546-0; Wiley Publication