Modern the metallurgical production is characterized presence large powered technological complex, comsuming big amount to energy and raw materials resource, working in condition technological parameter, which are quickly changed [1].

           Work the methodical толкательных of the stoves depends on many factor: rhythms of the functioning the rolling mill, marks of the warmed metal, masses of the warmed metal and others Methodical stove can work with detours from nominal mode. Modeling of the processes of the heating of the metal allows to value the influence concrete factor and choose the most acceptable.

           Existing the heating stove were designed more than 30 years back under concrete sort of the metal with the main requirement - a provision to maximum capacity. The Warm-up modes calculated on maximum capacity in the same way. Use the stove by thereby economic reasonable only in that event if its capacity varies in narrow range and close to accounting. In modern condition is shortened amount of the metal, which sail. In available stove are warmed stocking up of the other types and sizes, is used other fuel. In this connection reasonable develop the mathematical model and algorithm, create the model of the mode of the heating of the stocking up given sort, define the consuption a fuel on heating, specific consuption fuel and specific consuption conditional fuel.

            Develop the mathematical model of the heating of the metal in methodical stove, which on real acting stove will allow to calculate the modes of the heating hurlled under different sort and any mark by steels, differring from design.

           For spare time and facilities on realignment heating stove, for work with the other sort and mark become reasonable develop the mathematical model and algorithm mode heating of the stocking up given sort, define the consuption a fuel and specific consuption conditional fuel.

The Essence of the work:

           Methodical the stove is a technological installation, in which occur the processes under high temperature, intended for heating of the stocking up under rolling. The Constructive stove consists of three zones - methodical, welding (upper and lower) and pine. In stove of the stocking up lies tightly to one another. In methodical and welding zone they move on pipe, which are coolled by water. The double-sided asymmetrical heating of the metal exists In these zone since, its intensity overhand above, than from below. In pine zone metal lying on monolithic floor, is warmed overhand (is born under constant temperature of the surfaces of the stocking up).
The Warm-up field of the stocking up changes on thickness and at time. For modeling of the heating of the metal differential equation warmth-factor we use in methodical stove, describing univariate warm-up field.

(1)

where - accordingly warmth-factor, Vt/(m•K); the capacity of the heat, Dzh/(kg•K); density, kg/m3.
For initial conditions we take sharing the temperature on section of the stocking up at initial moment of time.

The Border conditions are of the form of:

     - in methodical and welding zone:

            under х=0        

            under х=Lх        

     - in pine zone metal is warmed under constant temperature of the surfaces.

           Algorithm the calculation degree blacknesses gas is executed in the manner of procedures.

           Calculation the combustions fuel is executed on separate procedure and allows to define the required amount of the air for incineration fuel, leaving the products of combustion and their composition. These given are used for calculation of the broughted blackness of the system. The Differential equation (1) with condition of univocacy and border condition dared certainly-various by method with use the method progonky [8, 9].

     Capacity stove is defined by capacity of the rolling mill. Under constant capacity time heating will depend on masses of the warmed stocking up:

(2)

where G - a mass of the stocking up in stove, kg; P - capacity stove, kg/s.

      For available stove under known length of the zones possible to define time of the heating of the metal on zone, having used by formula (2).

      Thereby, as a result executed studies is designed algorithm and is executed modeling of the heating of the metal under constant capacity stove and different thickness of the stocking up. Change the thickness of the stocking up brings about change of time of the heating that in accordance with got result can be reached by change of time of stay of the metal in zone stove. This, in turn brings about change the velocities of the moving the metal in stove. Change the warm-up mode brings the economic factors of the work stove about change. Is it Hereinafter planned execute the study on real methodical stove under constant capacity not only, but also under variable

List of the literature

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1. Tkachenko V.N. Mathematical modeling, identification and management technological process heat processing materialov.- To: Naukova dumka, 2008.- 244 p.
2. Rozengart YU.I., Potapov B.B., Olishanskiy V.M., Borodulin A.V. Changing the heat and heat modes in industrial stove - Kiev - Doneck: Vischa shk., 1986.- 296 p.
3. Kazancev E.I. The Industrial stove - M: Metallurgy, 1975.-368 p.
4. Nayzabekov A.B., Talmazan V.A., Ahmetgalina N.V. Modeling of the heating slyabov in methodical stove of the different design // Stali.2010. № 6. p. 66 - 69.
5. Pulipinskiy V.B. The Development and introduction энергосберегающего mode of the heating of the metal in communicating stove of the methodical type // Electronic journal energy - service company "Ecological systems". 2005.№ 5.
6. Mastryukov B.S. The Theory, designs and calculations of the metallurgical stoves, t.2 - M: Metallurgy, 1986.- 376 p.
7. Samarskiy A.A. Introduction to theory various shem.- M: Science, 1971.- 552 p.
8. Ginkul S.I., SHeludchenko V.I., Kravcov V.V., Palkina S.V. The Heat- mass- exchange - Doneck: Nord-Press, 2006.- 298 p.
9. ...

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