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Unit 8 Propulsion Intro Notes: What makes ships go? Force (thrust): lbs Tons (2000lbs) Newtons (1 lb = 4.45 N) Distance feet (English), meters (SI) 1 (statute) mi = 5280 ft 1 (naut) mi = 6080 ft (1.15 statute mi) RESISTANCE Energy (work) = Force x Distance ft-lbs Ton-(naut)mile = 12,160.000 ft-lbs! Newton-meter = joule Velocity = Distance/Time 1 knot = 1 (naut)mi/hour = 1.15 mph = .69 ft/sec Power = Force x Distance Time = Energy/Time or = Force x Velocity 1 hp = 550 ft-lbs/sec = 33000 ft-lbs/min = 746 watts 1 watt = 1 joule/sec THRUST Where: Thrust is determined by energy delivered to propeller by engine, and Resistance is determined by ship geometry and ship speed Resistance Velocity2 R = K x V x V (“K” is determined by the shape and condition of hull) To push ship at constant speed V (knots), Thrust (Tons) must = Resistance (Tons) During speed change Fnet = Thrust - Resistance = Mass of Ship x acceleration (F=Ma) if T>R then ship speeds up, R increases until R=T (equilibrium at new ship speed) if T<R then ship slows down, R decreases until R=T (equilibrium at new ship speed) PS 111. Professional Studies Unit 8: Propulsion Introduction Remember, since Resistance Velocity2 Speed Thrust (knots) KV2 Twice the speed requires 4 times the thrust 1 Kx1 2 Kx4 5 times the speed requires 25X the thrust 3 Kx9 4 Kx16 ------------------------------- 9K for a one knot increase 5 Kx25 10 Kx100 ------------------------------15 Kx225 16 Kx256 17 Kx289 18 Kx324 19 Kx361 20 Kx400 ------------------------------- 39K for a one knot increase ------------------------------- MECHANICAL ENERGY (work): Force x Distance A given ship develops 100 T of thrust to make 8 knts If Port A Port B = 5000 naut mi Energy expanded in pushing ship = 500,000 T-n.mi. Puzzle: Express the above in lb-ft. If 778 lb-ft is equivalent to 1 BTU, express the above in BTU. If one Ton of fuel releases 40,000 BTU when combusted, how many Tons of fuel is required to push the ship from A to B? POWER: Rate of production or consumption of energy Energy = force x distance (lb-ft/sec, ton-mi/hr, etc.) Time time 550 lb-ft/sec = 33,000 lb-ft/min = 1 horsepower 1 N-m/sec = 1 joule/sec = 1 watt 1000 joule/sec= 1 kilowatt (kW) 1 hp = 746 watt = 0.746 kW force x distance = force x velocity (1 ton-knt = 6.14 hp) time Effective Horsepower (EHP) = Thrust(T) x Speed (knt) x 6.14 8 -- 2 Notes: PS 111. Professional Studies Unit 8: Propulsion Introduction EHP = rate at which energy is delivered to the hull of the ship Since Thrust = K V2; EHP = K V2 x V = K V3 Speed (knots) 1 2 3 4 5 10 15 16 17 18 19 20 EHP KV3 Kx1 Kx8 Kx27 Kx64 Kx125 Kx1000 Kx3375 Kx4096 Kx4913 Kx5832 Kx6859 Kx8000 Twice the speed requires 8 times the hp 5 times the speed requires 125X the hp --------------------------- 875K for a one knot increase --------------------------- --------------------------1141K for a one knot increase -------------------------- What provides the thrust? The propeller. Propeller as a screw: Pitch = (theoretical) advance per revolution thus engine mileage = total revs/day x Pitch (ft) / 6077 slip = Engine Miles – Observed Miles Engine Miles Pitch (in feet or meters) Ship speed (knots) = pitch x RPM / 6077 and Propeller Horsepower = Thrust (lbs) x RPM(ave) x Pitch /5252 Propeller as a pump: Water pulled through propeller leaves at a greater pressure than it enters Since Force = Pressure x Area, higher pressure side of propeller provides greater force Net force (thrust) is the pressure difference x propeller blade area Approximating total blade area as a disc with a 20 ft pressure differential. Thrust = 2 lbs/in2 x 144 in2/ft2 x 314 ft2 = 90,432 lbs 8 -- 3 Notes: PS 111. Professional Studies Unit 8: Propulsion Introduction Notes: Prop “Disc” Area: Ap = R 2 Thrust = Suction P1 Disch. P2 P x Ap H2O P = P2-P1 Pressure = force/unit area lbs/sq.in. (PSI) N/sq.m. Bars = .001 N/sq.m. 1 atmosphere, (actually 0.9867 Atm.) Pumping Power: = capacity x pressure rise (P) GPM x PSI / 1714 (in hp) m3/sec x Nt/m2 (in watts) m3/sec x bars x 27.8 (in watts) What turns the propeller? – the propeller shaft EFFICIENCY = output (power) Input (power) Output = Input – losses Thus: Eff = _ Pout _ = Pin – losses Pout + losses Pin Effective hp (EHP) – delivered to hull Developed hp (DHP) – delivered to propeller Propulsive efficiency = EHP / DHP (approx 30% losses) Shaft hp (SHP) – power available at end of line shaft 8 -- 4 PS 111. Professional Studies Unit 8: Propulsion Introduction Brake Horsepower (BHP)= engine output delivered to drive train (line shaft losses: 2-5%) some of the torque delivered to the reduction gears by the engine is used to overcome friction in the drive train; thus the difference in BHP, SHP and DHP BHP-SHP = Line Losses numerically, HP = Torque (ft-lbs) x RPM 5252 ENGINE converts Thermal Energy to Mechanical Energy (efficiencies < 50%) Thermal Energy produced by the combustion of fuel PROPULSION PLANTS Energy Conversion (thermal Mechanical) systems Many Alternatives including … STEAM (conventional or nuclear) Advantages: • Conventional plants can burn very low grade fuel • Nuclear plants can go years without refueling • Good efficiency over a wide range of speeds Disadvantages • Large Space requirements • Long start-up time • Difficult to completely automate (large crew sizes) • High initial (capital) costs 8 -- 5 Notes: PS 111. Professional Studies Unit 8: Propulsion Introduction DIESEL (slow speed) Advantages: • Simple to automate (“unmanned” engine room & Bridge Control) • Can burn low grade fuel • Relatively short start-up time Notes: Disadvantages • Low efficiency at low speed • Restricted maneuverability • Many parts—failure of one causes downtime DIESEL (medium speed – direct drive) DIESEL (medium speed – electric drive) 8 -- 6 PS 111. Professional Studies Medium Speed Diesels: Advantages: • Flexible engine arrangements • Suitable for electric drive • Short start-up time Unit 8: Propulsion Introduction Notes: Disadvantages • Burns higher grade fuel • Multiple engines required for high hp ships • Significant maintenance burden GAS TURBINE (direct drive) GAS TURBINE (direct drive) Gas Turbines: Advantages: • Short start-up time • Engines (Gas Generators) changed out for regular maintenance • Suitable for electric drive Disadvantages • High grade (jet) fuel • Non-reversing—requires auxiliary gear for astern operation Visit: http://www.designnews.com/article/CA212211.html?ref=nbra http://www.fas.org/sgp/crs/weapons/RL33360.pdf http://www.amsuper.com/products/library/Maritime_Reporter_final3_sk1_73002 _final.pdf 8 -- 7 PS 111. Professional Studies Unit 8: Propulsion Introduction THERMODYNAMICS Notes: Branch of science dealing with the interchange of thermal & mechanical energy 1st Law: Conservation of Energy 2 LAWS non flow systems: Net Heat[in] = Net Work[out] + Internal Energy[change] steady-flow systems: Flow-energy[in] + Heat[in] = Flow-energy[out] + Work[out] where Flow-energy = enthalpy 2nd Law: Not all processes are reversible 6 PROPERTIES 3 PHASES Work{in}--->Heat[out] BUT Heat[in]--->Work[out] + Heat[out] order--->randomness (as measured by entropy ) Temperature (T, degrees F,C, R or K) Pressure (P, lbs/in2, PSI “absolute” or “gage”) Internal Energy (u, BTU/lbm) Specific Volume (v, ft3/lbm, reciprocal of “density’) Enthalpy (h, BTU/lbm, “total heat content”) Entropy (s, BTU/lbm. measure of “irreversibility”) (sometimes quality is considered a 7th) Solid Liquid Vapor (Gas) note: a fluid can be either a liquid or a vapor 3 MODES of HEAT TRANSFER 2 EFFECTS of HEAT TRANSFER Conduction (typically through solids) Convection (via motion of fluids) Radiation (via E-M waves, “line of sight”) Sensible Heat (changes temperature) Latent Heat (changes Phase) Visit: http://www.jcphysics.com/toolbox_indiv.php?sub_id=22 http://en.wikipedia.org/wiki/Thermodynamic_properties 8 -- 8 PS 111. Professional Studies Unit 8: Propulsion Introduction Temperature is an indication of the internal energy contained in a substance Relative scales: Fahrenheit (oF) and Celsius (oC) where C x 9 = (F - 32) x 5 Absolute scales: Rankine (oR) and Kelvin (oK) where R = F + 459.7 and K = C + 273.2 o o o C F R K Gold melts 1336.15 1063.00 1945.40 2405.07 Silver melts 1233.95 960.80 1761.44 2221.11 Water Boils @ 600 psig (TSES IV Boilers) 763.15 490.00 914.00 1373.67 Water Boils @ 1 Atm (14.7psia) 373.15 100.00 212.00 671.67 "Room Temperature" 295.15 22.00 71.60 531.27 Water Freezes (@ 1 Atm) 273.15 0.00 32.00 491.67 90.18 -182.97 -297.35 162.32 0.00 -273.15 -459.67 0 Oxygen Boils Absolute Zero Pressure = Force / unit area :examples pounds / sq.in Atm 103.04 82.63 41.82 35.01 28.21 21.41 14.61 11.20 4.40 2.04 1.00 0.68 0.34 0.07 0.00 Bars 104.41 83.73 42.37 35.48 28.59 21.69 14.80 11.35 4.46 2.07 1.01 0.69 0.34 0.07 0.00 PSIA 1514.7 1214.7 614.7 514.7 414.7 314.7 214.7 164.7 64.7 30 14.7 10 5 1 0 PSIG 1500 1200 600 500 400 300 200 150 50 15.3 0 -4.7 -9.7 -13.7 -14.7 tons / sq.ft newtons / sq.m Kg/sq.cm. KPascal 106.47 85.38 43.21 36.18 29.15 22.12 15.09 11.58 4.55 2.11 1.0333 0.70 0.35 0.07 0.00 10434 8368 4234 3546 2857 2168 1479 1135 446 207 101 69 34 7 0 in. Hg (ABS) 3083.0 2472.4 1251.1 1047.6 844.1 640.5 437.0 335.2 131.7 61.1 29.92 20.4 10.2 2.0 0 in. Hg (VAC) 0 9.6 19.7 27.9 29.92 absolute pressure is measured relative to a perfect vacuum gage pressure is measured relative to atmospheric pressure Kg/sq.cm is actually mass/unit area, but 1 kg “weighs” 9.8 Nt (on Earth) 8 -- 9 Notes: PS 111. Professional Studies Unit 8: Propulsion Introduction pressure may be interpreted as the height of a column of liquid it can support (i.e. 1 atmosphere of pressure can support 29.92 in.or 760mm of Hg, 33.9 ft or 10.3 m of H2O) Vacuum measure Perfect Vacuum Atmospheric Pressure 29.92 “Hg A Barometer is used to measure atmospheric pressure via comparison to a (very nearly) perfect vacuum 0 psia 29.92 “Hg (0 psia) 20.0 “Hg 14.7 psia Evacuated Space (5 psia) Atmospheric Pressure 10.0 “Hg (10 psia) 0.0 “Hg (14.7 psia) A Vacuum Gage is used to measure the pressure in an evacuated space via comparison to atmospheric pressure EFFECTS OF HEAT TRANSFER When heat is transferred to/from a substance, one of two effects may be realized Temperature change– a rise or fall in temperature is a sensible heat effect Phase change– (liquid-vapor, vapor-liquid, solid-liquid, liquid-solid) is a latent heat effect But not both simultaneously A pot of boiling water is 212oF (at standard atmospheric pressure) whether it is simmering or at a rolling boil – the rate of vaporization is dependent on the rate at which the latent heat is absorbed, not the temperature 8 -- 10 Notes: PS 111. Professional Studies Unit 8: Propulsion Introduction Consider one pound of H2O at atmospheric pressure: Notes: TEMP Condensing Boiling 212oF Superheated steam Liquid/vapor mix “wet steam” Solid/ liquid mix Saturated liquid Melting Saturated vapor Freezing 32oF 0 oF Sensible HEAT (BTU) 144 180 BTU BTU Sensible Latent Sensible 970 BTU Latent At other than atmospheric pressure, the processes are the same, but the values (freezing temp, boiling temp, latent heat of vaporization, etc.) are different At pressures below atmospheric (vacuum) water boils at less than 212oF At pressures above atmospheric, water boils at temperatures greater than 212oF Pressures ABS .75 psia / 1.5”Hg 5 psia / 9.9”Hg 10 psia / 19.9” Hg 14.7 psia / 1 Atm 29.7 psia 164.7 psia 614.7 psia 1214 psia REL 28.5” Hg 20” Hg 10” Hg 0” Hg / 0 psig 15 psig 150 psig 600 psig 1200 psig SAT TEMP 92oF 162oF 193oF 212oF 250oF 361oF 490oF 570oF LATENT HEAT of vaporization, hfg 1040 BTU / lb 1001 BTU / lb 982 BTU / lb 970 BTU / lb 945 BTU / lb 861 BTU / lb 728 BTU / lb 610 BTU / lb More precise values and other thermodynamic properties are found in Steam Tables 8 -- 11 PS 111. Professional Studies Unit 8: Propulsion Introduction THERMODYANMIC CYCLES: Utilize a continuous exchange of mechanical and thermal energy A thermodynamic cycle has 5 components; o A working fluid to transport energy through the cycle o A heat source to deliver thermal energy to the working fluid o A heat sink to retrieve thermal energy from the working fluid o An engine where thermal energy is converted into mechanical (work) energy) o A pump to circulate the working fluid Cycles may be open or closed Closed cycle WORKING FLUID ENGINE W HEAT SINK HEAT SOURCE PUMP H H W The Steam Cycle, refrigeration and air conditioning cycles are examples of closed cycles Open Cycle W W PUMP HEAT SOURCE WORKING FLUID ENGINE H HEAT SINK H Diesel engines, gasoline engines, and gas turbines are examples of open cycles 8 -- 12 Notes: