The ideal regenerative rankine cycle the analysis of the rankine cycle using the second law showed that the largest exergy destruction major irreversibilities occurs during the heataddition process. Planar rankine halfbodies if we superimpose a planar source on a uniform stream we can create streamlines which can be replaced by a solid body so as to generate the potential. Comparison of aqwa, gl rankine, moses, octopus, pdstrip and. Steady state performance of a modified rankine cycle system using water by david b. An example of sb is the boundary surrounding the crosshatched region or body in fig. Rankine cycle is a mechanical cycle which is used to convert the pressure energy of steam into mechanical energy using turbines. The matlab code presented below creates streamlines of the flow. Rankines earth pressure coefficients for inclined ground. Therefore any attempt to reduce the exergy destruction should start with this process. Rankine half body rankine halfbody is defined as the superposition of a uniform stream with a constant speed u and a source of strength m.
The original rankines equations will be the special case of the equations by16 by setting c0. Pdf rankine source method for seakeeping predictions. The organic rankine cycle orc is a well known technology since the early 1980s. Instructions should also appear as hardcopies via your pigeon hole deadline for submission extended until friday week 12 fri. How can i plot rankine oval by using for statement matlab. In a rankine cycle the components used are the turbine. Rankine body article about rankine body by the free. P o and u are at a point far away from the body and are known. Tecplot file does not contain boundary information, and so the boundary information is genearted inside the program. I want to recreate the known theoretical potential flow shape of the rankine half body.
For the stream velocity and body dimension shown, compute a the source strength m in m 2 s, b the distance a, c the distance h, and d the total. Stagnation points occur at the front and rear of the oval, x l, y 0. It consists mainly of a vaporizer, preheater, turbinegenerator set, air cooled condenser and feed pump. I am trying to run an inviscid multiphase vof simulation on fluent 6. Total width then, the magnitude of the velocity at any point in the flow. There is a limiting streamline that encloses the flow eminating from the inner line source. For the ideal fluid flow, the stagnation streamline is.
A uniform stream with velocity u ows along the xaxis. Pdf sources and sinks, vortex, doublet, rankine half. Rankine halfbody now, the stagnation streamline can be defined by evaluating. Sources and sinks, vortex, doublet, rankine half body, rankines oval, flow past load waterline of a 174m barge. Rankine body article about rankine body by the free dictionary. In the field of fluid dynamics, a rankine half body is a feature of fluid flow discovered by scottish physicist and engineer william rankine that is formed when a. This is an initial step, i later plan to deform that known shape but so far i have been unable to recreate the body itself. Rankine half body metadata this file contains additional information such as exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. The rankine body discovered by scottish physicist and engineer william john macquorn rankine, is a feature of naval architecture involving the flow of liquid around a body surface. A simple example of this is the superposition of a source and a uniform stream.
Nov 15, 20 i know the basic equations for the streamlines and the velocity potential lines. Planar potential flow of a source at the origin in a uniform stream showing streamlines and the rankine halfbody in red. Performance analysis of the organic rankine cycle orc. So, the source and uniform can be used to describe an aerodynamic body. Points of maximum velocity and minimum pressure occur at. Therefore shape of the rankine halfbody is given by the equation. It was also used to study the performance of reciprocating steam engines.
Steadystate performance of a modified rankine cycle. We saw that the previous example defined a half body open at one end. To solve boundaryvalue problems associated with solving eq. Figure 4 shows a grid on the half ship 1433 panels, automatically generated by. Wout consider the same rankine power cycle as we analyzed before. A fluid flow pattern formed by combining a uniform stream with a source and a sink of equal strengths, with the line joining the. Points of maximum velocity and minimum pressure occur at the shoulders, x 0, y h. The rankine cycle is a model used to predict the performance of steam turbine systems.
Question on streamlines around a rankine half body. The halfbody shape would vary with the dimensionless sourcestrength parameter u. All the streamlines inside the oval originate at the source on the left, and. Nov 21, 2011 example of rankine half body solution. The water pressure far upstream along the body centerline is 120 kpa. Dec 16, 2015 there is a limiting streamline that encloses the flow eminating from the inner line source. This streamline can be seen as a solid body, the rankine halfbody, and the flow. The body generated by the superposition of a uniform stream and a sourcesink pair is called a rankine body. Study guide chapter 8 potential flow and computational.
The heavy line again indicates the dividing streamline, which traces out a rankine oval. In fluid mechanics, a fluid flow pattern formed by combining a uniform stream with a source and a sink of equal strengths, with the line joining the source and sink. Half body over a wall a line source of strength qis located at 0. Not an elegant code, but it may be useful to learn how to identify boundary nodes for a. At what tunnel flow velocity will cavitation bubbles begin to form on the surface of the body. Key geometric and flow parameters of the rankine oval can be expressed as follows. It is the superposition of a uniform stream of constant speed and a source of strength. We choose a uniform stream of velocityu in thexdirection. Superposition of uniform flow and source flow yields the rankine half body flow. For the stream velocity and body dimension shown, compute a the source strength m in m 2 s, b the distance a, c the distance h, and d the total velocity at point a. Find the stagnation points for the 3d rankine ovoid. Solved a twodimensional rankine half body, 8 cm solutioninn. My vinfinity 1, my position b from the center of the source to the stagnation point 1, and the volume rate of flow, m 1. An inspection of the streamlines suggests that by placing a sink in addition to the source one should be able to define a closed body.
Consideration is given to flows having reynolds number of 100 and. The rankine body discovered by scottish physicist and engineer william john macquorn rankine, is a feature of naval architecture involving the flow of liquid around a bodysurface in fluid mechanics, a. Introduction in this article, we present a numerical solver for the simulation of an organic rankine cycle orc for the study of cogeneration. A twodimensional rankine half body, 8 cm thick, is placed in a water tunnel at 20ac. It becomes a circular cylinder as the sourcesink pair approach each other. The rankine cycle is an idealized thermodynamic cycle of a heat engine that converts heat into mechanical work while undergoing phase change. How can i plot rankine oval by using for statement. Combine the complex potentials for a uniform stream and a source m 0. A large amount of orc power plants have been built, mainly for geothermal, waste heat recovery and combined heat and.
Thermodynamics rankine examples free download as powerpoint presentation. The organic rankine cycle orc power generation system. The principle for the rankine half body is usually used in aerodynamics applications which include the changes due to elevation contributed by velocities and pressures to be negligible since pressure in the free stream is solvable through the. May 30, 2017 in some places you might need to solve twice with the same parameters but with different starting points, if there are multiple y solutions for each x. Inviscid vof rankine half body cfd online discussion forums.
How do i plot the streamlines and velocity potential flow. The distance h is found from the equation for the body streamline. The resulting stream function and velocity potential are obtained by simply adding the stream funct. The streamline flow of the rankine half body is shown in the figure below fig. What is the difference between rankine cycle and modified. Pdf sources and sinks, vortex, doublet, rankine half body. Introduction in this article, we present a numerical solver for the simulation of an organic rankine cycle orc for the study of cogeneration, i. Rankines earth pressure coefficients for inclined ground reconsidered by slip line method volume 1 issue 1 2016. A fluid flow pattern formed by combining a uniform stream with a source and a sink of equal strengths, with the line joining the source and sink along the. My vinfinity 1, my position b from the center of the source to the stagnation point 1, and the volume. Ill edit this post later contoh rankine half body grafik menyusul gan. Rankines earth pressure coefficients for inclined ground reconsidered by slip line method. If we superimpose a planar source on a uniform stream we can create streamlines which can be replaced by a solid body so as to generate the potential.
The organic rankine cycle orc the orc is a preengineered, prepackaged power unit specifically designed for low to medium temperature heat sources. The rankine halfbody is a combination of a source and a uniform flow. The envisaged orc power generation system used produce electrical energy is. Rankine cycle for power generation from low temperature sources, dyna, 2014. Question on streamlines around a rankine half body physics. The matlab code presented below creates streamlines of the flow of a uniform stream over a half body. Rankine source method, applied to seakeeping problems perhaps for the first time by yeung 1 to oscillating ship sections, is increasingly used in practical seakeeping analysis. Rankine definition is being, according to, or relating to an absolutetemperature scale on which the unit of measurement equals a fahrenheit degree and on which the freezing point of water is 491. As shown, a halfbody shape is formed quite similar to the rankine halfbody. A superposition of 3d uniform flow and a point source flow div.
I know the basic equations for the streamlines and the velocity potential lines. In the field of fluid dynamics, a rankine half body is a feature of fluid flow discovered by scottish physicist and engineer william rankine that is formed when a fluid source is added to a fluid undergoing potential flow. Can we come up with a closed body by a suitable combination. A large amount of orc power plants have been built, mainly for geothermal, waste heat recovery and combined heat and power applications.