Computers & Liquids 88 (2013) 344–353
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Computer systems & Liquids
journal home page: www.elsevier.com/locate/compﬂuid
Synthetic and computational solutions pertaining to three-dimensional ﬂow-ﬁeld and family member pathlines to get the spinning ﬂow in a Tesla disk turbine Sayantan Sengupta, Abhijit Guha ⇑
Mechanical Anatomist Department, American indian Institute of Technology, Kharagpur, Kharagpur 721302, India
a r t i c l at the
i d f to
Received 22 December 2012
Received in revised kind 18 Summer 2013
Acknowledged 8 September 2013
Available on the web 19 Sept. 2010 2013
3-D CFD simulation
a b t t ur a c t
The three-dimensional ﬂow ﬁeld and the ﬂow pathlines within a Tesla disc generator have been looked at analytically and computationally. The description from the ﬂow ﬁeld includes the three-dimensional variant of the gigantic velocity, tangential velocity and pressure of the ﬂuid inside the ﬂow pathways within the rotating discs. An in depth comparison between results obtained from the analytical theory and computational ﬂuid dynamic (CFD) solutions of Navier–Stokes equations is offered in order to establish the stability of the simpliﬁed mathematical version. The present job reveals the dependence of the shape, size and orientation of the pathlines on numerous operating guidelines (such as tangential velocity ratio, radial pressure drop, inlet nozzle angle, and position of the exit) and native balance of numerous forces (viz. inertial, viscous, centrifugal and Coriolis). The relative value of two possible methods of representing the pathlines in the absolute and relative shape of reference point are talked about that provide physical understanding of delicate ﬂow features. Ó 2013 Elsevier Limited. All privileges reserved.
1 ) Introduction
The study of detecting and analysing ﬂuid path is important in various ﬁelds of ﬂuid dynamics, such as in atmospheric science and oceanography. The direction of wind ﬂow and marine current can be seriously affected by the rotation of the earth. When ﬂuid travels more than a relative rotating frame of reference this acquires extra components of masse force, viz. centrifugal and Coriolis pressure which may not be realised in the inertial body of reference point. The function of centrifugal force should be to push the ﬂuid within a radially outward direction, although the position of Coriolis force is always to bend the ﬂuid within a particular direction depending on the course of ﬂuid velocity and sense of rotation with the reference body. American meteorologist Ferrel  had demonstrated how ﬂuid ﬂow in the Upper and The southern part of Hemisphere is usually deﬂected as a result of effect of Coriolis force. This sort of deﬂections and many other ﬂow physics can be captured by the ﬂow visualisation approach. In ﬂuid dynamics, the pattern of ﬂow may be visualised in various ways just like streamline, pathline, streakline, fb timeline etc . Presently, the visualisation of ﬂuid ﬂow in turbomachinery (see [2–5], etc . ) is a working area of analysis. In this daily news, ﬂuid ﬂow pattern in a special type of turbomachinery, viz. Tesla generator , invented by the famous science tecnistions Nikola Tesla has been investigated. With this kind of aim, the threedimensional ﬂuid ﬂow ﬁeld within the Tesla turbine continues to be computed in this article both numerically by the application of computational
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ﬂuid mechanics as well as analytically by the putting on a mathematical theory produced in . With this context, a brief description regarding Tesla turbine is presented below for the convenience of understanding of the readers.
Tesla turbine is a bladeless turbo-machinery in which the rotor is usually constructed by a series of co-axial, parallel ﬂat discs. The discs are attached to a central shaft maintaining a tiny gap...
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