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Freezing Spray Algorithms and Their Sensitivities by Serge Desjardins Tracey Talbot * National Lab for Marine and Coastal Meteorology (aka MAC Lab) *Atlantic Storm Prediction Centre Halifax, Nova Scotia EC/NOAA Marine Collaboration Workshop 11-13 February 2014 Halifax, Nova Scotia
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MAC Lab R&D Areas MISSION: Improved scientific understanding and prediction of high-impact meteorology in marine and coastal environments. Marine Boundary Layer Couche Limite Marine HIGH RESOLUTION : LAM2.5 km Fog / Brouillard Coastal area / Région Côtière Boundary Layer / Couche Limite Wind Profiler / Profileur de vent Tropical Systems / Systèmes Tropicaux Ocean Surface Environment Environnement Surface de l’Océan Waves / Vagues Storm Surge / Ondes de tempête Coupling / Couplage METAREA MISSION: Amélioration de la compréhension et la prévision de la météorologie à fort impact dans les milieux marins et côtiers. MBL OSE
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National Lab for Marine & Coastal Meteorology (aka MAC Lab) Staff ( MT7,MT5,MT6, MT6,MT6,MT6(Gander) ) Serge DesjardinsManager Hal Ritchie Senior Scientist (RPN) Collaborative works with RPN Researchers (OSE) ---------------------------------------------- Teresa Canavan Marine Boundary Layer Jamie McLean National Wave Program / Ocean Surface Environment Jim MurthaNational Wave Program (RPN-E) (Assign.-Aug 2013) Mark Pilon Marine Boundary Layer (Assignment – April 2013) Devon Telford (Gander)Ocean Surface Environment (Assignment) Doug MercerOcean Surface Environment (Assignment) G
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Contents Let the Equations Talk –Coded Algorithms (based on 2011 Ross Brown’set : frzg_comp.for) Overland Modified (Original) Stallabrass –Their Sensitivities –From the Theory Main differences from the algorithms –Spray flux –Freezing aspect
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SAWADA : ƒ(Wind Speed, Temperature) OVERLAND : ƒ(Wind Speed, Temperature, Salinity, Sea Surface Temperature) STALLABRASS : ƒ(Wind Speed, Temperature, Salinity, Sea Surface Temperature, Wave, RH) Wind Speed Temperature Category Light Moderate Severe Extreme “Cloud of Possibilities” The Freezing Spray Algorithms
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Compare All Freezing Spray Algorithms Cold (T air =-15ºC)Warm (T air =-5ºC) ** Wind / wave correlation used SST= 0 C
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2D Comparisons Overland _ NOAA Modif Stallabrass Sawada -4 Severe Category Moderate Category 42 HR forecast valid at 26 January 2014
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Wind Speed (kt) 051015202530354045505560 Air Temperature ( ° C) -5NIL TRCLGTMDT SVR XTM -10NIL LGTMDT SVR XTM -15NIL LGTSVR XTM -20NIL LGTSVR XTM -25NIL LGTSVR XTM Sawada (Still quite used by Canadian Forecasters- Atlantic) Weakness : no dependency on SST Probably applicable for SST above ZERO In CODE : 1 knot and Air temperature Intervals
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Overland Original: “Warm” vs. “Cold” Wind required to Generate Freezing Spray SST= 0 C
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Freezing Spray – Overland Algorithm PPR = Icing Predictor (m o Cs -1 ) V a = Wind Speed (m s -1 ) T f = Freezing point of seawater (usually -1.7 o C or -1.8 o C) T a = Air Temperature ( o C) T w = Sea Temperature ( o C) - freezing spray categories -extreme conditions - Calibrated with ship observations (85) [20-75m] in Alaskan Waters between 1979- 1983
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Freezing Spray – Overland Algorithm PPR = Icing Predictor (m o Cs -1 ) V a = Wind Speed (m s -1 ) T f = Freezing point of seawater (usually -1.7 o C or -1.8 o C) T a = Air Temperature ( o C) T w = Sea Temperature ( o C) 30% 23% 19% 15% 12% Near Ice Edge - freezing spray categories - extreme conditions
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Overland Original : Extreme Conditions extreme conditions Always assume that the ship has been exposed to these conditions for a long period of time In an unlimited fetch environment
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Overland Fetch Factor : Where is it useful? 0.5 0.8 0.2 W h =W max 1
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Overland Fetch vs. Modified Stallabrass SST Sensitivity Warm (T air =-5ºC)Cold (T air =-15ºC) ***Solid lines are Overland Dashed lines are Stallabrass (Modified) ** Wind / wave correlation used
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Freezing Spray – Stallabrass Algorithm Considers air temperature, water temperature, wind speed, and wave height Assume 20 knots for relative to the wave vessel speed (SCRIBE) Note in Ross’s code : 10m/s gives important icing rates for low sea states Predicts an average and maximum icing rate o1200 Events from 138 different vessels (Trawlers [38-57 m]. Data collected by Jim Stallabrass 1968 to 1980 oEach event described by 67 fields oIcing categorized by severity: Trace, Lights, Moderate, Heavy 3 m 9 m
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Slightly Deeper understanding of the equations Ri : rate of ice buildup per unit area : Icing Rate Rw : rate of generation/delivery spray per unit area : Spray Flux n : fraction of the total incident water that freezes : Frozen Spray Challenges In Rw : what does cause the spray ? -Parametrisation (Wind, Wave and Ship Vessel movement) -How high does the spray go (vessel size and shape) ? In n : what does not freeze ? -Runoff water - thermodynamic processes associated with ice formation (parametrisation) In Ri : what type of ship vessel (how high is the deck ?) From reading : Norm L. Henry report, 95-004A, Newfoundland, October 1995
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Where Vr = 10 m/s : relative velocity of wave-vessel interactions Slightly Deeper understanding of the equations LWC : Liquid Water Content Overland Stallabrass (Modified) (ORIGINAL) CALIBRATION
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Slightly Deeper understanding of the equations The thermodynamic involves Structure Ice Film of water Ta,RH SEA : SST Air Td Ts Runoff Rate of icing building on an ideal cylinder Model calibration correlating the theoretical rate of icing on the cylinder to observational data From reading : Norm L. Henry report, 95-004A, Newfoundland, October 1995 Droplet time of flight
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Rate of energy release due to the latent heat of freezing Heat transfer between the surface film (water) and the incident spray : source/sink Convective Heat transfer between the air/water interface : source Evaporative Heat transfer between the air/water interface : source Runoff parameter Slightly Deeper understanding of the equations HUGE ASSUMPTION: The incident spray is immediately cooled (or heated) to the temperature of the surface film Major impact on the first term on the right hand side
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Ts : temperature of surface film : F ( freezing point of salt water) : Salinity Td : Spray Droplet temperature : F ( SST, droplet time of flight) : SST, Wind, Tair, RH In the Evaporative process : smaller RH contribute to more evaporative cooling Slightly Deeper understanding of the equations
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Overland STALLABRASS Computation of Td makes Stallabrass less sensitive to SST Evaporative cooling Droplet cooling Runoff Spray cloud residence time ? Runoff
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Modified Stallabrass: Salinity Sensitivity Ocean Water: 30 ppt vs. 32 ppt Ocean (32 ppt) vs. Fresh Water (0 ppt) 0 ppt 32 ppt 0 ppt Cold Warm ** Wind / wave correlation used Ts : temperature of surface film : F ( freezing point of salt water) : Salinity
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Modified Stallabrass: Relative Humidity Higher RH Lower RH Cold Warm ** Wind / wave correlation used
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Wind wave curve Modified Stallabrass : Waves (Winds) Less realistic realistic
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CONCLUSIONS OVERLAND Wind Wave (Fetch Factor) Sea Surface Temperature Air Temperature SPRAY : in 0.3 FREEZING - Very Sensitive to Sea Surface Temperature - Air Temperature departure from freezing point of sea water Extreme Categorical predictions (…unrealistic icing rate) Not used in Canada (unrealistic : near coast : fetch factor to “fix”)
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CONCLUSIONS Modified Stallabrass (Used in Canada) Wind Wave –can be seen as a function of wind –Swell could contribute as well in light winds Temperature RH : freezing spray condition more likely behind a front in cold and dry air SST : not too sensitive but lower contribute to faster and more freezing Salinity : affect the freezing point of salt water (which does not vary a lot -1.5 to -1.8) SPRAY FREEZING Developed for Canadian East Coast offshore fishing vessels 3 m 9 m In the Algorithm Are we too high ? Superstructure height ?
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