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Published byMarshall Ray Modified over 2 years ago

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Geometrical Description of Vanes of Runner P M V Subbarao Professor Mechanical Engineering Department Provision of Features to Efficient & Benign Muscle.…

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Classical Theory of Geometrical Detailing of Francis Runner Estimation extreme dimensions of runner, R r1i, R r2e & L Development of parabolic functions for leading and trailing edges of runner vanes. Description of Shape functions for runner channel, i.e., hub and surface along meridional plane. Computation of Iso-stream lines.

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Creation of Runner Channel

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Radial & Meridional Variation of Flow Velocity VfVf s

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Kinematics and angles of the flow at blade inlet U ri V wri V rri ri V fri ri

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Kinematics and angles of the flow at blade outlet U re V wre V rre re V fre

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Typical Geometrical Details in Meridional Plane

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Description of Momentum Changing Mean Diameter line

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Modern Functions for Blade Angle Variations

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Centerline of Blade at Mean Dimeter

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Mean Surface of Runner Blade Camber Surface of an Aerofoil

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CONSTRUCTION OF THE REAL BLADES USING NACA PROFILES Once the camber surface is determined and verified in space. Embark this surface with profiles of adequate thickness, which will confer the necessary mechanical strength, the maximum energy transfer and the minimum drag by the liquid flow. Chose appropriate NACA profiles. The thickness relative function is given by the formula:

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NACA 65 Series for Francis Runner Blade

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The transposition of the profiles for all the 11 streamlines

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CAD Model of Runner Blade

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Francis Runner Blade

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A Linear Array of Blades

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Flow Path Through Runner Blades

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Surfaces of Real Blade: Write Brothers – to - Jukowski

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Circumferential Arrangement of Hydrofoil Blades

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3D Reconstruction of Runner with Blades

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Study of Velocity distribution on runner for improvement

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Blade to Blade Flow Variation

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Three Dimensional Flow Visulization

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Complete Francis Model

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Meshing of Fluid Domain

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Problem Definition in CFD

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Blade Loading & Torque

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Relative Performances of Components

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Cause for Runner Losses

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Modification of Hydrofoil Shape

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Improvement of the Runner Design using CFD Classical Theory

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