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Date of download: 11/1/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Computational domain for the simplified draft tube investigated in this study

2 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Water jet injection from the runner crown cone into the draft tube

3 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Axial velocity profiles at the inlet section to the draft tube for (a) case I and (b) case II, effect of jet injection

4 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Streamline patterns for the steady axisymmetric simulation of flow in the draft tube, effect of water jet injection (a) case I (91% of BEP flow rate) and (b) case II (70% of BEP flow rate)

5 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Losses in the draft tube for (a) case I and (b) case II as a function of the jet radius

6 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Contours of instantaneous axial velocity showing the stagnant region and vortex rope for (a) case I (91% of BEP flow rate) and (b) case II (70% of BEP flow rate) with and without water jet injection

7 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Time evolution of the controlled draft tube flow by water jet injection showing the reduction and elimination of the vortex rope (top left to bottom right)

8 Date of download: 11/1/2017 Copyright © ASME. All rights reserved. From: Flow in the Simplified Draft Tube of a Francis Turbine Operating at Partial Load—Part II: Control of the Vortex Rope J. Appl. Mech. 2014;81(6): doi: / Figure Legend: Unsteady pressure on the draft tube wall for case II, effect of water jet injection


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