Evidence shall show that knowledge has been acquired of safe working practices and evaluating fluid and thermodynamic parameters of refrigeration systems. All knowledge and skills detailed in this unit should be contextualised to current industry practices and technologies. KS01-EJ165A Thermodynamics and fluid fundamentals Evidence shall show an understanding of refrigeration engineering mathematics, thermodynamics and fluid fundamentals, applying safe working practices and relevant Standards, Codes and Regulations to an extent indicated by the following aspects: T1. Matrices The operations: addition (subtraction), scalar multiplication, matrix multiplication up to 3x3 matrices. Identity matrix, inverse matrix Elementary algebraic manipulation of matrices Solve up to three equations (linear) in three unknowns using inverse matrices and determinants. T2. Quadratic Functions Graphs of quadratic functions represented by parabolas and significance of the leading coefficient Zeros represented graphically Solve quadratic equations by factoring and quadratic formula Solve simultaneously linear and quadratic equations algebraically and geometrically. Engineering Mathematics- B T3. Exponential and Logarithmic Functions Laws of indices Graph of f(x) = kabx, emphasising a = 10, e Definition of the logarithm to any base Graph of f(x) = k loga bx, emphasising a = 10, e Solve exponential and simple log equations using indices, logs, calculator, graphically Change of log base, emphasising 10 and e Growth and decay T4. Trigonometric Functions The ratios: sin, cos, tan, cosec, sec, cot Degrees, radians Graphs of k f(ax + b) where f(x) = sin x, cos x, tan x, and significance of k,a,b, for example V = Vm sin (wt+ f) Trigonometric identities Solve trigonometric equations T5. Energy and humanity Need for energy and relationship between energy usage and standard of living Energy conversion - typical processes and efficiencies Sources of energy Solar energy - direct heating, photosynthesis, solar cells, power tower, hydrogen for solar energy, ocean thermal energy collector, solar ponds, wind and wave energy, hydro-electric power Geothermal energy Tidal energy Nuclear energy - fission and fusion, burner and breeder reactors Stored fuel reserves Fuel conservation - reduction in wastage, recycling, greater usage efficiency and use of waste heat Thermodynamics T6. Basic Concepts Nature of matter - atoms, molecules, inter-molecular forces, molecular motion, states of matter Mass and conservation of mass principle Volume, density, specific volume, relative density Force, weight, pressure (atmospheric, gauge and absolute) Temperature (Celsius and Kelvin) Systems and black box analysis Reciprocating piston and cylinder mechanism – pressure ratio and compression ratio T7. Energy Definition and principles Potential energy Kinetic energy Work (linear and rotational), constant and variable force, relationship to pressure and volume change Power (linear and rotational) Sensible heat - specific heat capacity (constant pressure and constant volume) Latent heat Chemical energy - energy content of a fuel Internal energy Energy transfer in closed and open systems Definition of a closed system Calorimetry as an example of a closed system (with or without phase change) Thermodynamics 1 Non-flow energy equation - typical applications such as stirring with simultaneous heating or cooling Definition of an open system Mass and volume flow rate and continuity equation Steady flow energy equation (negligible change in kinetic or potential energy) leading to the concept of enthalpy - typical applications such as turbines, compressors, boilers and heat exchangers. T8. Gases Definition of a perfect or ideal gas in terms of the molecular model General gas equation Characteristic gas equation (equation of state) Constant pressure process Constant volume process Isothermal process Polytropic process Adiabatic process T9. Heat engines Definition of a heat engine Essentials of a heat engine - heat source, heat sink, working substance, mechanical power output, working cycle Energy balance for a heat engine (as a black box) and efficiency Maximum possible efficiency (Carnot efficiency) Types of heat engines according to working substance, heat source, mechanical arrangement and working cycle Typical practical cycles - Stirling, Otto, Diesel, dual, two stroke (spark and compression ignition. Joule cycle. Thermodynamics 1 T10. Heat engine performance Measurement of torque and power output - rope brake, shoe brake, hydraulic dynamometer, electric dynamometer Heat supply rate, efficiency, specific fuel consumption Measurement of indicated power - mechanical indicator, electric/electronic indicator, Morse test Friction power, mechanical efficiency, indicated thermal efficiency Volumetric efficiency Energy balance Performance curves - variable load constant speed, variable speed constant throttle setting. T11. Basic properties of fluids Description of a fluid and the difference between solids and fluids, liquids and gases, hydraulics and pneumatics Chemical properties, reaction with metals, corrosiveness, flammability, toxicity, pollution and environmental effects Dissolves gases and particles in liquids (slurries) Foaming of liquids. Basic properties and units - mass, volume, density, specific volume, relative density, force and weight, pressure (absolute, atmospheric and gauge), temperature (Celsius and Kelvin), viscosity, surface tension Vapour pressure of a liquid - saturation vapour pressure Temperature and pressure effects on the basic properties Ideal/perfect gases and liquids Gas laws for ideal gases Fluid Mechanics 1 T12. Components Pipes, channels, tubes and ducts (rigid and flexible) Valves - gate, globe, non-return/foot, needle, ball, plug cock, diaphragm, pressure regulating/reducing, safety valves Filters and strainers for gases and liquids Gauges and instruments - pressure and temperature gauges, liquid level gauges, thermometers, thermocouples, manometers, piezometers Pipe fittings - elbows/bends, enlargement/contractions, coupler/unions, tees Tanks and vessels - storage tanks, pressure vessels, header and surge tanks, weirs/dams/reservoirs Nozzles/spray heads Flow measurement instruments - venturi and orifice meters, pitot tube, rotameter, anemometer (fan/hot wire) Pumps/compressors, motors/turbines Actuators - linear (cylinders) and rotary Selection of equipment and instruments considering properties and compatibility T13. Fluid statics Pressure at a point, direction of pressure on a surface Pressure variation with depth in a liquid Pascal’s Principle Manometer/piezometer calculations (vertical and inclined) Forces due to fluid pressure on vertical, horizontal and inclined surfaces Centre of pressure Archimedes Principle - buoyancy, flotation, apparent weight and centre of buoyancy Fluid flow Steady and unsteady flow, streamlines and eddies Velocity - average or mean and local Mass and volume flow rate Conservation of mass leading to the Continuity Equation for fluid flow Modification of the Continuity Equation for volume flow of liquids or gases with small changes in density Bernoulli Equation for ideal fluids, meaning of pressure, velocity and potential head. Total head Causes of head loss and modification of the Bernoulli Equation to include a head loss term for real fluids T14. Fluid power Definition and units for work, torque and power Relationship between force, velocity and power and torque, angular velocity and power Work done by a gas expanding at constant pressure Relationship between fluid power, mass flow rate and head Relationship between fluid power, volume flow rate and pressure Efficiency of a pump or turbine Modification of the Bernoulli Equation to include a pump or turbine in the fluid circuit as well as a head loss term T15. Forces developed by flowing fluids Impulse-momentum equation for fluid flow Force developed by a jet striking a stationary plate - perpendicular, inclined or curved Force developed by a jet striking a moving plate or blade Force developed by a jet striking a series of moving plates or blades - power developed and efficiency |