Source & sink flow
- 2. Uniform, Source & Sink flow • Talha Mahmood • M. Yousaf • Zeshan ur Rehman • M. Sajid • Abdul Saboor • Ahsan Ali • Ghulam Yaseen • Arslan Ahmad 2013-ME-05 2013-ME-07 2013-ME-08 2013-ME-21 2013-ME-32 2013-ME-34 2013-ME-39 2013-ME-43
- 3. Uniform Flow The flow is defined as uniform flow when in the flow field the velocity and other hydrodynamic parameters do not change from point to point at any instant of time. For a uniform flow, the velocity is a function of time only V=V(t)
- 4. Uniform Flow Any hydrodynamic parameter will have a unique value in the entire field, irrespective of whether it does not change with time − steady uniform flow. changes with time unsteady uniform flow Type Example Steady Uniform flow (Laminar Flow) Flow at constant rate through a duct of uniform cross- section (The region close to the walls of the duct is disregarded) Unsteady Uniform flow (Turbulent Flow) Flow at varying rates through a long straight pipe of uniform cross-section. (Again the region close to the walls is ignored.)
- 5. Uniform Flow
- 6. Source and Sink Flow Source Flow A radially symmetrical flow field directed outwards from a common point is called a source flow. The central common point is the line source described as “A line source is a line from which fluid appears and flows away on planes perpendicular to the line”. As the fluid flows outward, the area of flow increases. As a result, to satisfy continuity equation, the velocity decreases and the streamlines spread out. The velocity at all points at a given distance from the source is the same.
- 7. Source and Sink Flow Source Flow We can derive the relation between flow rate and velocity of the flow. Consider a cylinder of unit height, coaxial with the source. The rate at which the source emits fluid should be equal to the rate at which fluid flows out of the surface of the cylinder.
- 8. Source and Sink Flow Sink Flow Sink flow is the opposite of source flow. The streamlines are radial, directed inwards to the line source. In order to satisfy the continuity equation, the streamlines get bunched closer and the velocity increases as we get closer to the source. As with source flow, the velocity at all points equidistant from the sink is equal.
- 9. Source and Sink Flow Sink Flow The velocity of the flow around the sink can be given by The flow around a line sink is irrotational.
- 10. Source and Sink Flow Doublet A doublet can be thought of as a combination of a source and a sink of equal strengths kept at an infinitesimally small distance apart. Thus the streamlines can be seen to start and end at the same point.
- 11. Any Question?