the flow around high speed trains
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BBAA VI International Colloquium on: Bluff Bodies Aerodynamics & Applications
Milano, Italy, July, 20-24 2008
THE FLOW AROUND HIGH SPEED TRAINS
School of Civil Engineering University of Birmingham, Edgbaston, Birmingham, B15 2TT, United Kingdon
Keywords: High speed trains, aerodynamics, cross winds, boundary layers, wakes
Abstract: This paper considers aspects of the aerodynamic behaviour of high speed trains. It does not specifically address the many aerodynamic problems associated with such vehicles, but rather attempts to describe, in fundamental terms, the nature of the flow field. The ration-ale for such an approach is that the flow fields that exist are the primary cause of the aerody-namic forces on the train and its components which result in a whole range of aerodynamic issues. This paper thus draws on a wide range of model scale and full scale experimental and computational work and attempts to build up a comprehensive picture of the flow field. Atten-tion is restricted to trains in the open air (i.e. tunnel flows will not be considered) for both still air conditions and crosswind conditions. For still air conditions the flow field will be de-scribed for a number of flow regions i.e. around the nose of the train; along the side, roof and underbody of the train; the wake of the train; Calculations of the nature of the wind relative to the train will be presented for a variety of train speeds and wind speeds. For crosswind conditions, the nature of the flow field around typical trains, including surface pressure distributions, will be presented. In addition the aerodynamic admittances / weighting functions for different types of train will be discussed. Finally some remarks will be made as to the relevance of the data that has been presented to current issues in train aerodynamics.
1 INTRODUCTION This paper aims to set out a description of the flow field around high speed trains in the
open air. It will approach this from a fairly fundamental point of view, and will not specifi-cally address practical issues and problems associated with the aerodynamic behaviour of trains, although these will be briefly discussed at the end of the paper. Such an approach is adopted in the hope that such a description will clarify the basic flow mechanisms that exist around high speed trains, and will thus inform future consideration of a range of more practi-cal issues.
The basic tools in the study of train aerodynamics are full scale testing, wind tunnel testing and CFD calculations, as indeed is the case in other fields of aerodynamics. In the case of the study of train aerodynamics, all of these approaches are fraught with difficulties. Full scale measurements have to be made in very turbulent flows and very often a large number of runs have to be carried out to enable the mean and unsteady flow patterns to be elucidated. Refer-ence  describes the technique of ensemble averaging through which the results of a large number of runs are considered together. Results obtained using this technique will be used extensively in what follows. Both wind tunnel tests and CFD calculations are made difficult because of the large length / height ratio of high speed trains that makes wind tunnel models or computational grids very long and thin, and which both require specialist techniques and expertise. This point having been made however, experimental and computational techniques will not be discussed at any length in what follows, although where the nature of the tech-nique has the potential to seriously affect the results that are being presented, then this will be pointed out.
Section 2 discusses the aerodynamics of high speed trains in conditions of zero cross wind. The discussion is framed in terms of three flow regions, viz.
the nose region around the front of the train; the boundary layer region along the length of the train (for the train side, train
roof and train underbody); the wake region behind the train.
This scheme is based on that developed by the author in , although in this paper the number of flow regions is reduced from the five in  to the three listed above the upstream and nose region in  being considered together here, and the near wake and far wake regions in  being similarly combined. For each of the flow regions the work of the author and his co-workers, and the work of other investigators are considered to develop as complete a pic-ture as possible of the flow field around the train.
Section 3 then goes on to consider the flow field around trains in a cross wind. This begins by a consideration of the nature of the wind flow relative to the train (in terms of the mean velocity profile, turbulence profile and power spectrum. A qualitative picture of the flow around trains is then developed from a consideration of the work of a number of authors, and the nature of the pressure distribution around high speed trains is also discussed, in terms of both steady and unsteady surface pressures. Finally the way in which these pressures sum to give cross wind forces and moments is discussed in terms of the aerodynamic admittances and aerodynamic weighting functions. Some concluding remarks are then made in section 4 and the implications of the results for current issues in high speed train aerodynamics are set out.
2 THE FLOW AROUND TRAINS WITH NO CROSS WIND
2.1 The nose region In this section the flow upstream and just downstream of the nose of high speed trains will
be considered. In this region the variations of air velocity and pressure are essentially inviscid. A typical variation in air velocity is shown in figure 1 around the front of a 14 car ICE service train. This data was obtained from trackside anemometry in full scale experiments designed to measure the slipstreams around such trains. The experiments are reported in outline  and discussed in considerable length by the author and his co-workers in . Data from these ex-periments will be used extensively in what follows to illustrate a number of effects. The data in figure 1 is an ensemble average of the data from 17 train passes. This data was aligned (at the point corresponding to the peak of the velocity trace shown in the figure) and the data at all other points averaged over all the runs. Thus x, the position along the train, is defined as measured from this peak in velocity. The lateral distance y is defined as the distance from the rail edge, and the vertical distance z as the distance from the top of the rail. For the results shown the velocities were measured at trackside with no platform present (z=0.5m). The air velocity data, u, is divided by the train speed, v, to give the normalised value U. From figure 1 the velocity peak can be seen to be sharply defined and, as would be expected, decreases away from the train. The standard deviation of the ensemble is small in all cases of the order of 0.02 to 0.03, which indicates that in this flow region there is little run to run variation.
The velocity changes illustrated in figure 1 are accompanied by pressure changes. Figure 2 shows typical pressure changes caused by an ETR 500 . These measurements were ob-tained from train passing tests carried out as part of the major EU TRANSAERO project. It can be seen that there is a rapid increase and then decrease in pressure around the train nose. Again for any particular train, this effect is highly repeatable from run to run.
As such flows are inviscid they can be well predicted by reasonably simple calculation methods as shown figure 3 below from the potential flow calculations of Sanz-Andres . More complex panel methods can be used to calculate the details of the pressure and velocity variations around train nose shapes of different types (such as the results for the Euler method shown in figure 2). As would be expected, the blunter the nose shape, the higher are the ve-locity and pressure disturbances.
Figure 1 Velocities in the nose region of the ICE service train (z=0.5m)
Figure 2 Pressure time history measured during the passage of two ETR 500 trains (x axis is an arbitrary time) 
Figure 3 Results of the potential flow calculations of  (Pressure coefficient traces are shown for 2D and 3D computations. The x axis parameter T is the time from the passing of the nose of the train normalised by train
speed and distance from the centre of the train)
-10 -5 0 5 10
2.2 The boundary layer region 2.2.1 Train side
Over the last few decades a number of investigators have made boundary layer measure-ments on trains, using conventional train based pitot probes, hot wire probes etc. These tests have been carried out at both full scale and model scale for a variety of train types. From these experiments it is possible to derive standard boundary layer parameters such as the displace-ment thickness and the form parameter. The data from some of these experiments is summa-rised in figure 4 below, with data from the wind tunnel and full scale tests of  for the UK HST, and the data correlation of model scale results given in , reporting the earlier work of  for a variety of other trains. All dimensions given in these figures are the equivalent full scale values. Note that the results of  and  are for the actual, somewhat loosely defined, boundary layer thickness.  notes that the ratio between this thickness and the displacement thickness is between 8 and 11, i.e.