Eulers Vision of Newtons Laws of Motion Vre

Euler’s Vision of Newton’s Laws of Motion Vre U Vae Vri Vai

Axial Flow Turbine

The Francis Turbine

The Francis Runner Traditional runner X blade runner

Radial Inflow Turbine

Centrifugal Pumps

Confusion to use Euler Equation Jet can lose/gain power both by Impulse and Reaction. Jet can lose/gain power by travelling only in axial or only in radial or from radial to axial direction. Jet can lose/gain power both by centrifugal/centripetal or aerofoil effects. One important and essential accessory in all these cases is the nedd of an initial flow velocity i. e. , Demands the design of a nozzle. How to select among impulse/reaction? Or Degree of Reaction? How to select the direction of flow? Do I need centrifugal or aerofoil effects?

A General Empirical model for Selection of Right Features for A Turbo-Machine P M V Subbarao Professor Mechanical Engineering Department Empirical Tools for Development !!!

In search of A Suitable Principle of Momentum Exchange • • Primary characteristics of a source or need. The cause/effect: Head, H (m) or Dp The Capacity: Discharge Q (m 3/s) or Power, P (kg. m 2/s 3 ). Natural Parameter: Acceleration due to gravity: g (m/s) (for Hydraulic machines) • Density of fluid: r(kg/m 3).

A Matching Parameter for the Euler’s Machine with Resource For hydraulic power generating machines For hydraulic power consuming machines For compressible power Generating fluid machines For compressible power Consuming fluid machines

Machine-Fluid Matching Parameter: For compressible power consuming fluid machines

Step by Step Elimination of Fundamental Dimensions

Take j = -3/2

Take i = 1/2 & j = -3/4 Time demand by resource fluid

Time Scale of a Machine to Resource Speed: N (rpm) or n (rps) of a turbo machine: This is named as Specific Speed, Ns

Machine-Fluid Matching Parameter: For compressible power consuming fluid machines For incompressible power consuming fluid machines

Selection of Speed of A Turbo Machine The impact of Nationalism…….

Importance of Specific Speed A pump with a given flow geometry and momentum transfer principle

Specific Speed Vs Flow Geometry Centrifugal Mixed Axial