13.07.2015 Views

1 - Acta Technica Corviniensis

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1. Emil RAGAN, 2. Marcel FEDÁK, 3. Pavol SEMANČOHEATING PROCESS MODELING FOR DIE‐CASTING JETS ON THEMACHINES WITH HOT CHAMBER1. FACULTY OF MANUFACTURING TECHNOLOGIES OF TECHNICAL UNIVERSITY OF KOŠICE WITH A SEAT IN PREŠOV, DEPARTAMENT OF TECHNOLOGICALSYSTEMS OPERATION, PREŠOV, SLOVAKIA2‐3. FACULTY OF MANUFACTURING TECHNOLOGIES OF TECHNICAL UNIVERSITY OF KOŠICE WITH A SEAT IN PREŠOV, DEPARTMENT OF MANUFACTURINGMANAGEMENT, PREŠOV, SLOVAKIAABSTRACT: In general the application of die‐casting technology in foundries that are focused on non ferrous metals allowsproducing cast parts with specific properties. Another advantage of pressure die‐casting technology with hot chamber isthe possibility of production of precision cast parts in low dimensional tolerances, often without further machining.Castings have got smooth surface, good mechanical properties, and they also may have complex construction workability.Required qualitative properties of castings produced with the pressure die‐casting technology with hot chamber aredependent on several parameters, which include holding stable temperature of the die‐casting nozzle. Therefore in thispaper we proposed the mathematical model as one of the method how to control heating die‐casting nozzle of the hotchamber pressure die‐casting machine using a gas torch.KEYWORDS: Pressure die‐casting, die‐casting nozzle, hot chamber pressure die‐casting machineINTRODUCTIONHigh pressure die‐casting technology in foundriesprocessing non‐ferrous molten metal metals allowsproducing casting of various shapes with specificproperties. The advantages of applying the technologyof high pressure die casting using hot chamber is thepossibility of precision castings in low dimensionaltolerance [1,2] .These castings have a smooth surface often withoutany further machining, and they also have goodmechanical properties [3]. This technology mayproduce castings with complex construction. Thequality of the castings depends on several parameters.One of the important parameter is control andregulation of temperature stability of nozzle [4,5].During the operation of pressure die‐casting machineswith hot chamber dynamic changes occur mainly intemperature time casting nozzle according to thecasting machine cycle. It is needed to hold thetemperature of casting nozzle at optimum valuetherefore it is necessary to eliminate dynamic changes.Given the operation consuming conditions during thedie‐casting process the nozzle is regulated bycontrolled gas torch. For regulation of nozzletemperature, there are several types of regulation[2,6].In this paper we focus on the compilation of modelwith simple control loop with a mathematicaldescription of the regulated system, and also on thecreation of transitional characteristic with regulatorydesign. Simple control‐loop that is formed by thetorch that heats the nozzle of pressure die‐castingmachine uses the proposed proportional regulatory.EQUATION MODEL DEFINITION OF REGULATORY SYSTEMFor appropriateness of the solutions it is firstlynecessary to derive an equation describing thedependence of torch gas flow on temperature ofcasting nozzle as the equation of the regulatorysystem. In the regulatory system the gas flow of thegas torch is referred as input value q and thetemperature difference of the nozzle expressed as T‐T 0 and surroundings temperature is an output variable[4].For the casting nozzle we can determine equation forthermal balance:nQ = Q +(1)1 2 Q3where: Q 1 ‐ amount of the heat per time unitgenerated by burning gas in torch, nQ 1 ‐ amount of theheat per time unit generated by burning gas in torchthat crossed into nozzle, Q 2 ‐ amount of the heat pertime unit generated by burning gas in torch that heatsnozzle, Q 3 ‐ heat loss per time unit.Variable Q 1 can be expressed as:Q 1 = ql(2)where: q ‐ gas flow of the torch, l ‐ calorific value ofthe gas.Variable Q 2 is expressed as:dTQ 2 = cm(3)dtwhere: c ‐ specific heat of the nozzle, m ‐ weight of thenozzle, T ‐ nozzle temperature, t ‐ time.Q = kSp ( T − T 0 )(4)where: k ‐ heat transfer coefficient from the nozzleinto the surroundings, S p ‐ surface area of the nozzle,T 0 ‐ surroundings temperature.© copyright FACULTY of ENGINEERING ‐ HUNEDOARA, ROMANIA 87

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