МЕТОД ОТРИМАННЯ АМОРФНОЇ СТРУКТУРИ

(1)

К 536.248.2

.М. е _, _. _{. се} _{, .} _{. К}

Ю К , , 24,

. , 36011,

 am.pavlenko@i.ua, Scopus ID: 12801813400

А

Я А

Ї

-.

,

.

-, є

.

К і с : –А –І – –М

-– –

.М. е , . . се , . . К

Ю К , , 24,

. , 36011,

Ч

Я А

Ы

В -

-.

,

.

,

-.

К е ые с : –А –И – –

М – –

This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/

В

є ,

'є ,

, є ,

-є

-.

-,

( ).

( ) є

.

є

'є .

є

-є

( ).

,

є

.

-,

-.

В А ЧА А

і я

(і я ) і і і і

і і

-, є T

L

t

,

-tp.

t0

-p S

t

,

(2)

I ( . 1)

є

-. ,

,

-є

. З є

.

ІІ є

T L

t

-є .

ІІІ є ,

є .

і я і я

і (і я )

ь

є

є .

( . 2) є

-, є

(

0 

r



R

_i) (RirZ ) 2

1







:

     

   

 

   

      

    



  

   

    



  

   

i i i

i i

Z r R r

r t t r r r r t t t c

R r r

r t t r r r r t t t c

, , 1

,

0 , , 1

,

 

  

 

  

(1)

2 1







:

(r0) [1]:

0 ) , 0

( _

 

r ti 

, (2)

(r = Rk) IV :

  



  





,





,



,

, , ,

 

 

i i

i

i i i

R t R t

r R t t r

R t t



    

(3)

-- (rZ ):

 



 



r Z t t d

dZ Q

t

_p

t

_V

      

  

 



  

 





, ,

 



z



,





t ,

0

z

 



z₀,







₂.

t_฀ _L฀ , Z

 

 R_i, ₁₂ (4)

I –

-; II –

; IІІ –

ису 1– - ису 2–

(3)

:

 



















  i i i

R

Z

r

t

r R_i

2 1

1 1

,

0

,







(5)



,



1



2





i

r



, є

,







1





2.

ІІІ є ,

-, .

-



₃.

А

n i

 , in, n i c . З

(1  i 

M-1) (6) (7)

(1.1): , 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1                                  n i n i n i n i n i n i n i n i n i n i n i n i n i n i n i n

i t t

i t t t t c r t t       

 (6)

n i

 , in, n i

c

“n”.

(2)

-є :





_, 2 1 0 1 0 0 0 2 0 1 0 1 0 n n n n n n n n n n c r t t t t              ( 7)

є (8).

є

,

M M0







₁



.

                _  V n M n M V n p n M n M V j n t t r t t r c t

t









(8)

V

t

– ,



– є

.

є n j

V t

t

S   .

0



S є

k1





1

1 1    _ 



n M k j j n

V t Q c

t (9)

є r.

M 1.

0 

S

є

k2





₁

1 2    _ _



n M k j V j n c Q t

t (10)

є r, M

-є 1.

я

ь

-є

III (rZ_i)

-, . 3.

ису 3–

-є

-2 2 1







:

     

   

i i i i i i Z r r r t t r r r r t t t c                0 , , 1 ,      (11) 2 2 1







:

(r0)

0 ) , 0 ( _   r t_i



, (12)

–

(4)

  

,









  



,







,



i i _p _i _i

i t t Z

r Z t

t  

  (13) :









          







i

R

i

Z

i

Z

r

r r

t_i _i

)

(

0

3 2 1 3 2 1 3 2

1 , ,

,







, (14)



,



1



2



3





_i r   є

-,

ІІІ,







1



2



3.

-



₄.

є

, є

(11)

3 2 1



   +



₄.

-

(

r



Z

i):

 



 



 



 



r Z t t t t d dZ Q

t _i i _p _Li _i i i

i _     











, ,

 





n

i i i L i

i Z t Z R

t  ,  ,0  ,1234. (15) :



 

i



i r r

t ,1234  ,1234 , i

Z r



0 , (16)





i r,1 2 3 4

    , є

-,

4 3 2 1   



     .

–



4 .

4- є

-.

--



₄



₄ 



₄ .

А

З

t

n_i

(0  i  M0-1) є (6)

(7). M0

-є (13):





, 2 2 1 1 1 0 0 0 0 0 0 0 0 0 n M n M n M n M n M n p n M n M n M n M r r t t t t t t c                   (17) К 1 0  n M

t

T L t є .

З

t

n_i 0 < Т < M

-є (6) (7).

-є :







₁



,

              _









T L M M T L M M

L t t

r t t r c t t

n

p

n

T

j

n

_







(18)

Ш r є ,

k3

S



0

є :





.

3

1 Mn j

T k j T L j n c Q t t _   _ _



(19)

-, M = 1.

BASIC,

.

. 4-5.

,

Гr, B, P, SТ, є ,

FО Co

, , B,

P, SТ, [2-3]. .1

-. . 2

.

и 1 –

,

°

, К

,

/ 3

є

,

/( ·К)

К є

-,

/( ·К)

u45Ti35Zr20 1090 410 6900 513,9 175

Ni62,4Nb37,6 1169 672 7850 609 69

Fe80P13C7 985 463 6690 720 38,5

(5)

и 2 – u45Ti35Zr20

я ρ=7450 / 3

є ρ= 385 /( ·К)

К є k=340 /( ·К)

1

0-20 °

ρ = 6900 / 3

є ρ= 513,9 /( ·К)

К є k=175 /( ·К)

2 1090 °

І 0.00001

1090 °

267 500 /

0 – 20 – 0° 20°

ису 4– u45Ti35Zr20

1

0 – 20 – 0° 20°

ису 5 – u45Ti35Zr20

(6)

В В

1.

.

2. є

'є

-. є

є

-.

3.

( ) є

-'є ,

є. І ,

.

4.

є

-.

І Е А А

1. Pavlenko, A.M., Usenko, B.O., Koshlak, H.V. 2014. Analysis of thermal peculiarities of alloying with special properties, Metallurgical and Mining Industry, 2, 15-20. 2. Pavlenko, A.M., Usenko, B.O., Koshlak, H.V. 2015. Mathematical modeling of the casting process in Comsol 3.5a package, Metallurgical and Mining Industry, 1, 132-140.

3. Anatoliy Pavlenko, Bohdan Usenko, 2015.

Investigation thermophysical processes obtaining of massive amorphous structure, The special aspects energy and resource saving, Oradea University Press, 235-274.

10.09.2015, 18.12.2015

A. Pavlenko, B. Usenko, H. Koshlak

Poltava National Technical Yuri Kondratyuk University,36011, Poltava, Pershotravnevyi avenue, 24, Ukraine

 am.pavlenko@i.ua, Scopus ID: 12801813400

THE AMORPHOUS STRUCTURE OBTAINING METHOD

The article presents the results of research of energy-resource-saving technologies of massive amorphous structures formation. This technology differs mainly the realization internal heat removal by means of lo-cal heat sink (inoculator). The peculiarities of processes of heat and mass transfer during the formation of in the melt additional active cooling centers, local heat sink to generate internal heat removal. A mathematical model of melting inoculator in melts for optimizing the process of obtaining massive amor-phous structures, which allows to reduce time of experimental research and material resources to create massive amorphous structures. Mathematical modeling of processes heat and mass transfer inoculator in melts allows you to identify peculiarities of the technological process, and establish influence inoculator on the degree of amorphization melt.The results of physical experiments are compared with the results of the calculation. The results can be used to analyze the physical regularities and informed choice of tech-nological modes of formation of massive amorphous structures in different metals and alloys. The melt metal with the cooled particles (inoculator) is characterized by supercooling condition throughout the volume of the solid ingot. Inoculators not only remove overheating and supercooling melt.

The results provide an effective assessment of the intensity of heat transfer during the casting process, which makes it possible to estimate and predict the ability of alloys to the amorphization of the structure. Keywords: heat and mass transfer – amorphous structure – inoculator – thermal conductivity – mathe-matical model – cooling – melting.

REFERENCES

1. Pavlenko, A.M., Usenko, B.O., Koshlak, H.V. 2014. Analysis of thermal peculiarities of alloying with special properties, Metallurgical and Mining Industry, 2, 15-20. 2. Pavlenko, A.M., Usenko, B.O., Koshlak, H.V. 2015. Mathematical modeling of the casting process in Com-sol 3.5a package, Metallurgical and Mining Industry, 1, 132-140.

3. Anatoliy Pavlenko, Bohdan Usenko, 2015.

Investigation thermophysical processes obtaining of massive amorphous structure, The special aspects energy and resource saving, Oradea University Press, 235-274.