Effects of Reduced Gravity Aaron Harrinarine Persad Contents Introduction....................................................................................... 2 AboutGravity..................................................................................... 2 GravityonEarth............................................................................... 3 ClarifyingTerminology....................................................................... 4 EffectsofNearWeightlessnessonPhysicalProcesses.......................................... 6 FluidStability................................................................................. 7 MultiphaseFlow.............................................................................. 8 Boiling......................................................................................... 10 SurfaceTensionEffectsandNegligibleBuoyancy.......................................... 13 Aggregation................................................................................... 15 EffectsofNearWeightlessnessonLifeProcesses............................................... 16 Humans........................................................................................ 16 Plants.......................................................................................... 20 ClosingRemarks.................................................................................. 22 Cross-References................................................................................. 22 References........................................................................................ 23 Abstract TheaccelerationduetoEarth’sgravityiscalleda1genvironment.Humansare well adapted to living in 1 g since, through observations and experiences, they have developed an innate intuition of how the natural world behaves. For example, it is known that liquids will settle to the bottom of their containers, that objects thrown will follow a parabolic path as they fall toward the ground, and that the flame of a birthday candle will burn with familiar color and shape. A.H.Persad(*) AstronautsforHire,Houston,TX,USA ThermodynamicsandKineticsLaboratory,DepartmentofMechanicalandIndustrialEngineering, UniversityofToronto,Toronto,ON,Canada e-mail:[email protected];[email protected] #HerMajestytheQueeninRightofCanada2016 1 E.Seedhouse,D.Shaler(eds.),HandbookofLifeSupportSystemsforSpacecraftand ExtraterrestrialHabitats,DOI10.1007/978-3-319-09575-2_5-1 2 A.H.Persad However, the near-weightless environment can affect both physical and life processes and cause them to behave in seemingly counterintuitive fashions. This chapter focuses on near weightlessness and its effect on the behavior of several physical and life processes that are important to life support systems in spacecraft and habitats. Physical processes that will be discussed include fluid configurations, thermodynamic stability, aggregation, surface tension, and thermocapillary flow. Life sciences discussions will include human physiology, locomotionandperception,andplantbiology. Introduction This chapter begins with an overview of gravity in general, followed by a brief descriptionofEarth’sgravitationalfield.Withthiscontext,thechapterproceedswith acloserlookatlifesupportsystems.Investigationsaremadeoftheeffectsofreduced gravityfromtheperspectiveofphysicalandlifesciences.Attheendofthischapter, the reader will have an appreciation of the synergy required between physical and lifesystemstotacklethechallengesofimplementinglifesupportsystemsinreduced gravity. About Gravity Itmaybesurprisingtoknowthatthereisnoscientificexplanationofgravity(Brooks 2009). Theories exist to describe how gravity behaves and how it affects physical matter and light, but the fundamental source of gravity remains a mystery. No attemptwillbemadeheretosolvethemysteryofgravity.Instead,thefocusinthis sectionistodefinegravitywithinthecontextofthischapter. Gravity is an observable, natural event where all things are attracted to one another,regardlessoftheirsizeorofthedistancebetweenthem.In1687,SirIsaac Newtonhypothesizedthatthegravitationforceofattractionbetweentwobodieswas proportionaltotheproductoftheirmassesandinverselyproportionaltothesquare ofthedistancebetweenthem: F¼Gm1m2, (1) 2 d whereFisforceofattraction,m andm arethemassesofthetwoobjects,disthe 1 2 distancebetweentheobjects,andGisanempiricalproportionalityconstantknown asthegravitationalconstant.TheearliestmeasurementofthevalueofGwasmadein 1798byHenryCavendish.ThestandardvalueofGasgivenbytheNationalInstitute of Standards and Technology (NIST) is 6.67384 (cid:2) 10(cid:3)11 m3 kg(cid:3)1 s(cid:3)2, but recent studies have raised questions about the accuracy of this value (Gibney 2014; Andersonetal.2015). EffectsofReducedGravity 3 Inamajorityofcases,Newton’slawofgravityworkswellindescribingcelestial motionsandmostofone’severydayobservationsofgravity.However,formassive objects,orforobjectsthatmovenearthespeedoflight,Newton’slawfails.Instead ofdescribingtheeffectsofgravitationasanattractiveforce,AlbertEinsteinin1915 attributedgravitationtothecurvatureofspaceandtime.Einstein’sgeneraltheoryof relativity has proven to be more accurate than Newton’s law, for example, in describing the orbit of Mercury around the Sun. However, in the nonrelativistic limit, Einstein’s general theory of relativity simplifies to Newton’s law. With this brief overview of gravity, the next section takes a closer look at the Earth’s gravi- tationalenvironment. Gravity on Earth For the purposes of this section, Newton’s gravitation law is taken as sufficient to describe the attractive force that Earth’s gravitational field exerts on objects. An objectinEarth’sgravitationfieldwillaccelerate toward theEarth duetothefield’s strength.TheaccelerationduetoEarth’sgravitydependsonseveralfactorssuchas time,thespatialdistributionoftheplanet’smaterialcomposition,elevation,latitude, and the shape of the planet. When the Earth is approximated as spherical, the standardvalue ofEarth’sgravityatthesurface oftheplanet istaken as9.80665m s(cid:3)2(symbolically,thisgravityvalueisrepresentedas1g).Undertheseassumptions, Newton’sgravitationlawinEq.1simplifiesto: F! ¼m!g : (2) g The symbol ! in Eq. 2 – indicates that the parameter is a vector: it has both ! magnitudeanddirectioncomponents.Inradialcoordinates, gisdirectedtowardthe center of the Earth, whereas in Cartesian coordinates, it is directed downward. By contrast, the mass of the object, denoted by m in Eq. 2, is a(cid:1)sca(cid:1)lar since it has no ! (cid:1)! (cid:1) dependence on direction. The magnitude of F , denoted as (cid:1)F (cid:1), is known as the (cid:1) (cid:1)g g (cid:1)! (cid:1) weightofanobject.NotefromEq.2that(cid:1)F (cid:1)¼0doesnotnecessarilyimplythat g m=0. ! InEq.2,F indicatestheforcethatEarth’sgravityexertsonanobjectwithamass g ofm.AstheobjectfallstowardtheEarth,itwilleventuallyencounterasurface,such asatabletop,andstopfalling.Afreebodydiagram(FBD)ishelpfulinillustrating whatismeantbysayingthattheEarth’sgravityis1g.NotethatinFig.1,theobject ! is exerting a force of F directed downward on the tabletop, whereas the tabletop g ! ! ! exertsanequalandupwardnormalforceofF ontheobject(whereF ¼(cid:3)F and N N g theupwardforce(cid:3)isindi(cid:4)catedbythenegativesign).Thus,thenetforceactingonthe ! ! object is F þ (cid:3)F ¼0 and the object remains stationary. However, if the g g 4 A.H.Persad Fig.1 Freebodydiagramsof objectsinfreefalloratreston atabletop ! tabletopweresuddenlyremoved,thenetforceactingontheobjectwouldbeF ,and g the object would continue to fall toward the Earth’s surface, only stopping once it landedontheground,andtheEarth’ssurfaceexertedanequalandoppositeforceto the weight of the object. In both cases, whether or not the object was falling, the object was always subjected to the Earth’s gravity of 1 g. Thus, the 1 g of gravity “felt”onEarthisactuallyaresultoftheground(orchair,orbed,etc.)pushingback againsttheobject’sweight;iftherewerenothingtopushagainsttheobject,itwould experiencefreefall. Clarifying Terminology Strictlyspeaking“gravity”hastheunitsofacceleration.However,thetermgravityis sometimesusedtodescribe aforce.Therefore,onemustbecareful inone’sunder- standing of the word “gravity” when it is used in the phrase “reduced gravity.” Considerthefollowingexample:astronautsontheInternationalSpaceStation(ISS) willoftentalkaboutwhatitisliketofloatinsidethestationandliveinzerogravity. Numerouspressreleasesfromspaceagenciesalsousetheterm“zerogravity,”and someevenstatethateverythinginthespacestationfloatsbecausethereisnogravity upthere.Fromtheperspectiveofascientist,theclaimthatthereis“zerogravity”in spaceisfalse;theMoonorbitstheEarthbecauseofgravity;andtheEarthisheldin orbitaroundtheSunbecauseofgravity.Iftherereallywere“zerogravity”inspace, then the space station would not stay in orbit around the Earth; instead, it would vanishintodeepspace. The term “zero gravity” or “zero-g” only makes sense inthe contextof aforce; thereisnoforcepushingback(noopposingforce)tostopthespacestationandthe astronautsfromfallingaroundtheEarth.Infact,abettertermtousewouldbe“free fall” or “weightlessness” since these terms do not incorrectly imply that the accel- erationduetoEarth’sgravityiszero. EffectsofReducedGravity 5 ISS - mean height in km 418 416 414 412 410 408 406 404 402 400 398 ©Heavens-Above.com Jun Jul Aug Sep Oct Nov Dec Jan Feb Mar Apr May Jun 2014 2015 Fig.2 TheInternationalSpaceStationhastobeperiodicallyre-boostedsinceitsorbitdecaysfrom frictionwheninlowEarthorbit(Peat2015) However, a scientist may still raise issue about using the terms “free fall” or “weightlessness”sincethesetermsimplythatspaceisaperfectvacuum.Inreality, space is filled with micrometeorites and nano-sized dust particles that produce resistance or drag to spacecraft and other objects. The drag created by these particles in space is the reason why the space station’s orbit gradually decays and must be periodically re-boosted, as indicated in Fig. 2. For this reason (see chapter “▶The Microgravity Environment”), some have used the term “micro- gravity”(10(cid:3)6gorμg)tomoreaccuratelydescribetheenvironmentonspacecraft, since achieving a 0 g environment would not be possible. However, the term “microgravity” again confuses acceleration and forces. Thus, more appropriate terms to use to describe the space environment are “near free fall” or “near weightlessness.” Theterm“reducedgravity”isdefinedasanenvironmentwherethegravitational fieldislessthanthatoftheEarth,forexample,ontheMoon,onMars,onasteroids, orindeepspace.Theterm“nearweightlessness”isusedinthischaptertodescribe the space environment that is predominantly in Earth’s gravitational field (Fig. 3). The remainder of this chapter will focus on the effects of the near-weightless environment. 6 A.H.Persad Fig.3 There isgravity in space.Objects ashighas 400km abovetheEarth’s surfacearewell withinthepulloftheEarth’sgravitationalfieldandexperience86%ofthesurface’s1gacceleration (WikimediaCommons2009) Effects of Near Weightlessness on Physical Processes Itmaynotbeimmediatelyclearwhatrolephysicalscienceshastoplayinbuildinga lifesupportsystemforspace.However,considerthatalifesupportsystemmusthave a reservoir of water and that water must be transported from the reservoir through tubestoanoutlet,andtheremaybeairbubblesentrappedinthetubesaffectingthe flow of water to the outlet. In this simple example alone, a scientist must use thermodynamics to predict how the water behaves in the storage container, and an engineermustusemultiphasefluiddynamicsandphysicstounderstandtheflowofa water-air mixture in the tubes. This section takes a closer look at these and other physicalscienceprocesses. EffectsofReducedGravity 7 Fig.4 Glasscylindersofsimilarradii(approximately30mm),butdifferentheights.Bothcontain similaramountsofpurewater.Atroomtemperatureontheground,thebulkliquidandvaporphases arestableandseparatedbyasingle,flatliquid-vaporinterface Fluid Stability Life support systems in space require that fluids such as water, liquid oxygen, and liquidammoniabestoredinreservoirs(seechapters“▶PotableWaterSupply”and “▶EssentialsofLifeSupportSystems:Water”).Thesereservoirscanbeflexibleor rigid and are typically closed to the environment. The fluids can be removed or addedtothereservoirsthroughvalvesandtubes.Ifthestoredfluidisvolatile,both itsvaporandliquidphasesmayexistsimultaneouslyinthereservoir.Ontheground, thereaderknowsthatliquidwaterinaclosedbottlewillalwaysbeatthebottomof the bottle and the water vapor will be on top, with a single liquid-vapor interface between the two phases (Fig. 4). Furthermore, the reader knows that the single- interface configuration is stable; if one were to shake (perturb) the water bottle so thattheliquidandvaporphasessloshedandmixed,onewouldexpecttheliquidto eventuallysettlebackdowntothebottom.Thus,ontheground,thesingle-interface configuration is the stable configuration for the closed water liquid-vapor system. This makes it relatively easy for a life support system engineer to know where to placetubestodrawouttheliquidwaterwhenontheground. However, in near weightlessness, where should the engineer place the tubes to drawoutliquidwaterfromthereservoir?Whatiftheengineeronlywantedtodraw out water vapor? To answer these fundamental questions, the engineer needs to know the stable configuration of the fluid held in the reservoir. Consider the two glass cylinders shown in Fig. 4 which are partially filled with water and on the ground (note that “on the ground” is a phrase used to indicate being in 1 g environment). The cylinders have similar diameters, but different heights. There is approximatelythesameamountofliquidwaterineachcylinder,andbothhavethe 8 A.H.Persad single-interfaceconfiguration.Figure5indicatessomepossibleconfigurationsofthe water in the cylinders when in near weightlessness; it may be challenging to intuitivelyidentifywhichwillbethefinalconfigurationofthewaterineachcylinder. Using thermodynamics, the stable equilibrium configuration of the water in eachcylindercanbepredicted.Thedetailsofthetheorymaybefoundelsewhere (Sasges et al. 1996; Ward et al. 2000), but the important result is that the temperature, amount of fluid present in the container, and contact angle of the liquid with the container’s wall are the factors that determine the equilibrium configuration. The water in the tall cylinder in Fig. 4 is predicted to take on the “double-interfaceconfiguration”showninFig.5,whereasthewaterinthesmaller cylinderinFig.4ispredictedtotransitiontothe“bubbleconfiguration”indicated in Fig. 5. In 1997, a series of water cylinder systems were flown on the Space Shuttle mission STS-87 to test the thermodynamic prediction that the confined waterinthetallercylinderwouldtransitiontothedouble-interfaceconfiguration (Wardetal.2000).AsillustratedinFig.6,theexperimentalobservationsagreed withthepredictions. Multiphase Flow Anotherimportantaspectofanyspacelifesupportsystemistherecyclingofwater (see chapters “▶Potable Water Supply,” “▶Essentials of Life Support Systems: Water,”“▶MethodsofWaterManagement,”“▶MethodsofWaterRecovery,”and “▶Water Quality Monitoring”). Currently, the Water Recovery System (WRS) on theISS(seeFig.7)isable torecycle upto93%oftheliquids itprocesses(NASA 2012). The efficiency of the WRS is sufficient to support the ISS crew of six, but onlywhencomplementedwithperiodicresupplyshipmentsofwaterfromtheEarth. Indeepspaceorondistantplanetary habitats,therewillbemuchlesscapabilityto resupplycrewwithconsumablessuchaswaterfromEarth.Waterrecyclingsystems inthosedistanthabitatswouldhavetoapproach100%efficiency. The influent wastewater through the WRS may contain solid particulates and gases, producing multiphase flows in tubes (see chapters “▶Manned Spaceflight WasteManagement,”“▶EssentialsofLifeSupportSystems:WasteManagement,” and “▶Waste Management”). On the ground, engineers would expect that heavy solidscollectatthebottomofthetube,whilethelightergasesflowatthetopofthe tube. This aids in separating the phases. However, as the velocity of the flow increases, the flow patterns change, as indicated in Fig. 8 for the flow of a liquid- gas system. In near weightlessness, the number of flow patterns is simplified since thedensitydifferencebetweentheliquidandgaswillnotcausethe“lighter”gasto stay above the liquid. As indicated in Fig. 9, the three main flow regimes in near weightlessnessarebubbly,slug,andannular(McQuillenetal.2003).Afundamental understanding of how fluids flow in pipes of different sizes, shapes, and junctions willbeimportanttothedesignofanylifesupportsystem. EffectsofReducedGravity 9 H b c θ θ Liquid Vapor Vapor R c L 2 θ c h c Single-Interface Configuration Double- Interface Configuration Liquid R R d Vapor Vapor b Liquid Vapor Liquid Vapor θ θ Bridge Configuration Bubble Droplet Configuration Configuration θ Rsd Rsb Liquid θ Vapor Vapor Liquid Sessile Droplet Sessile Bubble Configuration Configuration Fig. 5 In free fall, a single-component (water), vapor-liquid system confined to an isothermal, closedaxisymmetriccylindricalvesselmayreachanyoneofanumberofpossiblestableequilib- riumconfigurationsshown(Sasgesetal.1996) 10 A.H.Persad Fig.6 Thepredicted configurationofwaterina glasscylinderinnear weightlessnessisshownto agreecloselywith observationsmadeonthe SpaceShuttlemissionSTS-87 (Wardetal.2000) Fig. 7 The Water Recovery System is used onboard the International Space Station to convert wastewaterintopotablewater,therebyconservingresources(NASA2012) Boiling In the WRS, water is recycled through a distillation process (NASA 2012). The reader may already be familiar with water distillation on the ground: a pool of wastewater is first boiled and turned into steam; the steam risesand leaves heavier impuritiesbehindthepool;thesteamiscooledandrecondensedbackintoastorage containerascleanwater.ThisprocessisanalogoustotheEarth’shydrologicalcycle, Fig.10.However,inthenear-weightless environment,theprocessofdistillation is complicatedbyseveralfactors.