Aerodynamics Of Road Vehicles - Engineering

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Annu. Rev. Fluid Mech.Copyright 1993.25 :485-5371993 by Annual Reviews Inc. All rights reservedANNUALREVIEWSFurtherQuick links to online contentAERODYNAMICS OF ROADVEHICLESAnnu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.Wolf-Heinrich HuchoOstring 48, D-623 1 , Schwalbach (Ts), GermanyGino SovranGeneral Motors Research and Environmental Staff, Warren,Michigan 48090-9055KEY WORDS:1.aerodynamic design, aerodynamic testing, aerodynamic forces,flow fieldsINTRODUCTIONIn fluid mechanical terms, road vehicles are bluff bodies in very closeproximity to the ground. Their detailed geometry is extremely complex.Internal and recessed cavities which communicate freely with the externalflow (i.e. engine compartment and wheel wells, respectively) and rotatingwheels add to their geometrical and fluid mechanical complexity. The flowover a vehicle is fully three-dimensional. Boundary layers are turbulent.Flow separation is common and may be followed by reattachment. Largeturbulent wakes are formed at the rear and in many cases contain longi tudinal trailing vortices.As is typical for bluff bodies, drag (which is a key issue for most roadvehicles-but far from the only one) is mainly pressure drag. This is incontrast to aircraft and ships, which suffer primarily from friction drag.The avoidance of separation or, if this is not possible, its control are amongthe main objectives of vehicle aerodynamics.With regard to their geometry, road vehicles comprise a large variety ofconfigurations (Figure 1 ) . Passenger cars, vans, and buses are closed, singlebodies. Trucks and race cars can be of more than one body. Motorcyclesand some race cars have open driver compartments. With the race carbeing the only exception, the shape of a road vehicle is not primarily4850066-4 1 89/93/01 1 5-0485 02.00

Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.486HUCHO & SOVRAN/,Figure 1With respect to geometry, road vehicles comprise a wide variety of shapes. Racecars and, even more so, motorcycles have to be studied with the driver in place.determined by the need to generate specific aerodynamic effects-as, forinstance, an airplane is designed to produce lift.To the contrary, a road vehicle's shape is primarily determined byfunctional, economic and, last but not least, aesthetic arguments. Theaerodynamic characteristics are not usuallY,generated intentionally; theyare the consequences of, but not the reason for, the shape. These "otherthan aerodynamic" considerations place severe constraints on vehicle aero dynamicists. For example, there are good reasons for the length of a vehiclebeing a given. Length for a passenger car is a measure of its size, and thusits class. To place a car in a specific market niche means recognizing lengthas an invariant in design. Furthermore, mass and cost are proportional tolength. In the same sense all the other main dimensions of a vehicle, suchas width and height (which define frontal area), are frozen very early inthe design process. Even the details of a car's proportions are prescribed

Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.AERODYNAMICS OF ROAD VEHICLES487to close limits for reasons of packaging and aesthetics (Figure 2). Ofcourse, some maneuvering room must be left to the aerodynamicists (thehatched regions). Otherwise, they would do no more than just measurethe aerodynamic characteristics of configurations designed by others.Depending on the specific purpose of each type of vehicle, the objectivesof aerodynamics differ widely. While low drag is desirable for all roadvehicles, other aerodynamic properties are also significant. Negative lift isdecisive for the cornering capability of race cars, but is of no importancefor trucks. Cars and, even more so, vans are sensitive to cross wind, butheavy trucks are not. Wind noise should be low for cars and buses, but isof no significance for race cars.While the process of weighing the relative importance of a set of needsfrom various disciplines is generally comparable to that in other branchesof applied fluid mechanics, the situation in vehicle aerodynamics is uniquein that an additional category of arguments has to be taken into account:art, fashion, and taste. In contrast to technical and economic factors, theseadditional arguments are subjective in nature and cannot be quantified.Exterior design (the term "styling" that was formerly used is todayusually avoided) has to be recognized as extremely important. "Design iswhat sells" rules the car market worldwide. While design gives technicalrequirements a form that is in accord with fashion, the fundamental naturet!hr ;;'II" ,,,',,, , FIlIIIFigure 2::"""'"";;';;;'' ;]1IIIIIIi Ii Illl WH'"'-- --"11/lJJIJjjII!! '!.' I I' eeRight from the beginning of the development of a new vehicle, its main dimensionsand detailed proportions are frozen. The limited maneuvering room for aerodynamics isidentified by the hatched lines.

Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.488HUCHO & SOVRANof fashion is change. Consequently, although vehicle aerodynamics isgetting better and better, it is not progressing toward a single ultimateshape as in the case, for instance, of subsonic transport aircraft. To thecontrary, it must come to terms with new shapes again and again.There is no question, however, that aerodynamics 'does influence design.The high trunk typical of notchback cars with low drag is the most strikingexample. Despite the fact that it tends to look "bulky," it had to beaccepted by designers because of its favorable effect on drag-and theextra luggage space it provides. Today's cars are streamlined more thanever, and an "aero-look" has become a styling feature of its own.2.HISTORYWhen the carriage horse was replaced by a thermal engine more than 1 00years ago, nobody thought about aerodynamics. The objective of the bodyshell of the now horseless carriage was, as before, to shelter the driver andpassengers from wind, rain, and mud. The idea of applying aerodynamicsto road vehicles came up much later, after flight technology had madeconsiderable progress. For both airships and aircraft, streamlined shapeswere developed which lowered drag significantly, thus permitting highercruising speeds with any given (limited) engine power.The early attempts (Figure 3) to streamline cars were made accordingto aeronautical practice and by adapting shapes from naval architecture.These failed for two reasons. First, the benefits of aerodynamics weresimply not needed. Bad roads and low engine power only permitted moder ate driving speeds. Second, the approach of directly transplanting (withalmost no change) shapes which had been developed for aeronautical andmarine purposes was not appropriate. These streamlined shapes couldbe accommodated only if some important details of car design weresubordinated, e.g. engine location, or the layout of the passengercompartment.The long road from those days to today's acceptance of aerodynamicsin the automobile industry has been described in great detail (Kieselbach1 982a,b, 1 983; Rucho 1 987b). From this history, only those events whichwere decisive will be highlighted here. Acknowledging the danger of beingsuperficial, only five will be identified.The recognition that the pattern of flow around half a body of revo lution is changed significantly when that half body is brought close tothe ground (Klemperer 1 922, Figure 4).2. The truncation of a body's rear end (Koenig-Fachsenfeld et al 1 936,Kamm et a1 1 934, Figure 4).I.

AERODYNAMICS OF ROAD VEHICLES489Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.c: RICOTTI1913ll)))) ))))) /'/ ))}))) )))))))KLEMPERERJARAYKAMMFigure 3 (left) The early attempts to apply aerodynamics to road vehicles consisted of thedirect transfer of shapes originating from aeronautical and marine practice. The resultingshapes differed widely from those of contemporary cars and were rejected by the buyingpublic. This unsuitable transfer procedure was very embarrassing for later attempts tointroduce aerodynamics into vehicles.Figure 4 (right) Klemperer (1922) recognized that the flow over a body of revolution, whichis axisymmetric in free flight, changed drastically and lost symmetry when the body cameclose to the ground. By modifying its shape, however, he was able to reduce the related dragincrease. Despite their extreme length, flow separates from the rear of streamlined cars. Bytruncating the rear shortly upstream of the location where separation would take place,shapes of acceptable length were generated with no drag penalty. This idea was first proposedby Koenig-Fachsenfeld for buses, and was transferred to cars by Kamm.

490HUCHO & SOVRANAnnu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.3 The introduction of "detail-optimization" into vehicle development(Figure 5, Hucho et al 1976).4. The deciphering of the detailed flow patterns at car rear ends (Section4. 1).5. The application of "add-ons" like underbody air dams, fairings, andwings to passenger cars, trucks, and race cars.With these five steps, aerodynamics has been adapted to road vehicles,rather than road-vehicle configurations being determined by the demandsof aerodynamics. The shape of cars changed in an evolutionary ratherthan a revolutionary manner over the years (Figure 6), and at first forreasons other than aerodynamic ones. Taste, perhaps influenced by thefascinating shapes of aircraft, called for smooth bodies with integratedheadlamps and fenders (the "pontoon body"), and production technologymade them possible. Better flow over the car and thus lower drag was onlya spinoff. But, finally, the two oil crises of the 1970s generated greatpressure for improving fuel economy drastically, and provided a break-ar·pi iFigure5In detail optimization, a body detail is rounded off or tapered by no more thanwhat is necessary to produce a drag minimum. In general, there are different types of dragvariation that lead to such an optimum: (a) minimum; (b) jump; (c) saturation. Followingthis philosophy, it has been possible to significantly reduce the drag of hard-edged carswithout altering their style.

AERODYNAMICS OF ROAD VEHICLES1.00.9491I--:;::::F;;;;:;;; --I-T-I--I-T-I0.70.60.51----Ic---'-'Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.Co0.40.3 I---I---t--- ,,;:;::;; ' F ' -I---J---' '719; 0.2 1-----r----- --- CDO.1 1920 0.15 0.16 30Figure 6CD405060Year70802000The drag history of cars. Using a logarithmic scale for drag emphasizes howdifficult it is to achieve very low drag values. Research has been far ahead of what has beenrealized in production.through for vehicle aerodynamics. Since then, drag coefficients have comedown dramatically. This has been a major contributor to the large improve ments in fuel economy that have been realized.Research in road-vehicle aerodynamics has always been far ahead ofpractical application. Drag values demonstrate this. A drag coefficient aslow as Co 0.15 was demonstrated for a body with wheels as early as1922 (Klemperer, Figure 6), but it took more than 40 years to reproducethis value with an actual car-and then only with a research vehicle.Nevertheless, blaming the automobile industry for not taking advantageof the full potential of this technology is not justified, since the "concept"of any car is influenced by a variety of factors (Figure 7) which, collectively,are summarized by the term "market." However, the long-known potentialfor reducing drag (which relates to one of these factors) is now beingexploited more and more. How far this trend will go depends on the futurecourse of fuel prices and, perhaps, of emissions regulation (e.g. the possibleregulation of CO2 to control global warming).In the following, the subject of road-vehicle aerodynamics will be treated

492HUCHO & SOVRANCOMPETITIVESOCIETALCONSIDERATIONSAnnu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.FASHIONTRAFFIC POLICYTECHNOLOGY(roads, parkingspace .)(materials, manufacturingelectronics .)ECONOMICENVIRONMENT(personal income,car and fuel prices .)Figure7(emissions, fuel economysafety, others .)The concept of a car is influenced by many requirements of very different nature.A careful balance between them is required by the market.in four sections. In the first (Section 3), the way that aerodynamics influ ences the operation of vehicles will be described, and without delvinginto the related fluid-mechanic mechanisms. These mechanisms will bediscussed in a second section (Section 4). Then (Section 5), the aero dynamic-development process and the tools that are used in it will bedescribed. In the final section (Section 6), open issues that remain andfuture trends will be discussed.3.VEHICLE ATTRIBUTES AFFECTED BYAERODYNAMICS3. 1Performance and Fuel EconomyThe motivation for allowing aerodynamics to influence the shape ofvehicles, if not their style, is the market situation, and this changes withtime. Fuel economy and, increasingly, global warming are the current keyarguments for low drag worldwide. In Europe, particularly Germany, top

Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.AERODYNAMICS OF ROAD VEHICLES493speed is still considered an important sales feature despite the rapidlyincreasing traffic density which largely prohibits fast driving even in theabsence of speed limits.Vehicle fuel consumption is a matter of demand and supply. On thedemand side are the mechanical energies required for propulsion and byaccessories. On the supply side is the efficiency with which this energy canbe generated by the powerplant and delivered to the points of application.The influence of aerodynamics on this demand-supply relationship isthrough the drag force, which affects the propulsive part of the demandside.Commercial aircraft, trains, ships, and highway trucks typically operateat a relatively constant cruising speed. In typical automobile driving, how ever, vehicle speed varies with time or distance. An analysis of the factorsaffecting automobile fuel economy can best be made if the driving patternis prescribed. In the U.S., two speed variations of particular rclevanceare the Environmental Protection Agency (EPA) Urban and Highwayschedules that are the basis for the fuel-economy and exhaust-emissionsregulations. They represent the two major types of driving, and a com bination of their fuel consumptions is used for regulatory purposes. InEurope, regulation is based on the Euromix cycle, a combination of asimple urban schedule and two constant-speed cruising conditions.At any instant, the tractive force required at the tire/road interface of acar's driving wheels is (Sovran & Bohn 1 9 8 1 )FTR R DL.- I .j.Road Load dVM dtL.-t MgsinO ,L.-t GradeInertiawhere FTR is the tractive force, R the tire rolling resistance, D the aero dynamic drag, M the vehicle mass, g the acceleration of gravity, and {} theinclination angle of the road.The corresponding tractive power isPTR FTRV,and the tractive energy required for propulsion during any given drivingperiod isETR ITPTR dtfor positive values of the integrand. The main reason that fuel is consumedin an automobile is to provide this tractive energy.Writing an equation for instantaneous fuel consumption, integrating it

494HUCHO & SOVRANover a total driving duration, and using the mean-value theorem to intro duce appropriate averages for some of the integrands, the followingfundamental equation for the average fuel-consumed-per-unit-distance traveled, g, can be obtained (Sovran 1 983):Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.propulsion(PTR 0)braking andidle (PTR " 0)where k is a fuel-dependent constant, IJb is the average engine efficiencyduring propulsion, IJd is the average drivetrain efficiency, S is the totaldistance traveled, EACC is the energy required by vehicle accessories, andgu is the fuel consumption during idling and braking. Typical units aregallons per mile in the U.S. and liters per 1 00 kilometers in Europe.Aerodynamic drag is responsible for part of ETR However, ETR is onlypart of the propulsive fuel consumption which is only part of the totalfuel consumption. The impact of drag on total vehicle fuel consumptiontherefore depends on the relative magnitudes of these contributions.For the u.s. driving schedules, ETR can be described accurately (Sovran& Bohn 1 98 1 ) by linear equations of the formTireInertiaAerowhere the vehicle descriptors M, CD, A, and ro are the mass, drag co efficient, frontal area, and tire-rolling-resistance coefficient, respectively,and (I., p, and yare known constants which are different for each schedule.For a typical mid-size American car, drag is responsible for 1 8 % of ETRon the Urban schedule and 5 1 % on the Highway.The energy part (square brackets) of the propulsion term in the fuel consumption equation is dominated by ETR, which contributes 94% forboth Urban and Highway for the midsize car. The propulsion term itselfaccounts for 8 1 % of the total fuel consumption on the Urban scheduleand 96% on the Highway.These quantifications permit the influence coefficient relating a per centage change in CDA to a percentage change in 9 to be established. Ingeneral, this coefficient is vehicle as well as driving-schedule dependent(Sovran 1 983), but for the midsize car being considered they are O . l 4and 0.46 for Urban and Highway, respectively. For the Euromix cycle,a typical influence coefficient for cars powered by spark-ignition enginesis 0.3, while for diesel engines it is 0.4 (Emmelmann 1987b). In allcases, these values presume that the drivetrain gearing is rematched so

Annu. Rev. Fluid Mech. 1993.25:485-537. Downloaded from www.annualreviews.orgby University of Ottawa on 01/26/12. For personal use only.AERODYNAMICS OF ROAD VEHICLES495that the road load power-requirement curve runs through the engine'sbrake-specific-fuel-consumption map in the same manner at the lower dragas at the higher drag.If no other changes are made in a vehicle, the benefits of reduced dragare actually threefold: reduced fuel consumption, increased accelerationcapability, and increased top speed. When maximum fuel-economy benefitis the objective the increased acceleration and top-speed capabilities canbe converted to additional reductions in fuel consumption. Conversion ofthe increased acceleration capability is accomplished by regearing thedrivetrain, as discussed above. Conversion of the increased top speedrequires a reduction in installed engine power, and a corresponding per centage reduction in vehicle mass so that the acceleration capability of thevehicle is not diminished.The preceding discussions have presumed the absence of ambient windwhile driving. In the presence of wind a vehicle's wind speed is generallydifferent than its ground speed, and its yaw angle is generally not zero.This affects the operating drag force, and therefore vehicle fuel economy(Sovran 1984). On the average, the result is a reduction in fuel economy.3.2HandlingWhile traveling along a road, a vehicle experiences more than just drag.The resultant aerodynamic force has components in all six degrees offreedom (Figure 8). In

With these five steps, aerodynamics has been adapted to road vehicles, rather than road-vehicle configurations being determined by the demands of aerodynamics. The shape of cars changed in an evolutionary rather than a revolutionary manner over the years (Figure

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