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Investigation of influence of propellant charge temperature on gun firing phenomenon PDF

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Preview Investigation of influence of propellant charge temperature on gun firing phenomenon

! Z. K. Leciejewski, Z. 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Surma '$0$%5#!.0#*!&*,&L*2/$?M2/$&$N-.0#*!&).%.5$0$%(;&M++*%'#!"&0*&)%*+$'-%$&'$(+%#2$'&#!&a<MLM^&bCC8B&01$& ,*%+$&.!'&+*4*/-5$&5.3&2$&*20.#!$'&#!&%$(-/0&*,&.))%*=#5.0#*!&*,&/#!$.%&@)%$($!0$'&2$/*6A&,*%5&*,&L*2/$?M2/$& $N-.0#*! p m = f +α⋅p B& @8A ∆ m& I$(-/0(&*,&,*%+$&.!'&+*4*/-5$&.0&'#,,$%$!0&#!#0#./&0$5)$%.0-%$&*,&)%*)$//.!0&.%$&)%$($!0$'&2$/*6; .A&.0&# D&R&8]&_T>& )&D&C;]]Ck&ij&Q"?CB&l&D&C;CYF&'5H&Q"?CB >' 2A&.0&# D&`F]&_T>& )&D&C;]FH]&ij&Q"?CB&l&D&C;C8b&'5H&Q"?CB >' +A&.0&# D&`8]&_T>& )&D&C;]FUk&ij&Q"?CB&l&D&C;CUk&'5H&Q"?C; >' p m[MJ/kg] ∆ 1,40 1,35 t0=50°C t0=20°C 1,30 t=-50°C 0 1,25 1,20 1,15 1,10 1,05 1,00 0 25 50 75 100 125 150 175 200 225 ∆ [kg/m3] ./0'%&'&J$)$!'$!+$&pm *!&/*.'#!"&'$!(#03&f&.!'&m #!#0#./&0$5)$%.0-%$&#> ∆ !6!6,</2#(#),2*'%,0+%-:0(%#' W!&01$&+.($&*,&"$*5$0%#+B&%$"-/.%&(1.)$&*,&)*6'$%&"%.#!(&6#01&(5**01&(-%,.+$B&01$&2-%!#!"&%.0$&+*$,K+#$!0&%&*,& W 01$&)%*)$//.!0&#(&+./+-/.0$'&*!&01$&2.(#(&*,&01$&%$(-/0(&*,&01$&+/*($'&+1.52$%&K%#!"(&0**&.!'&01$&$N-.0#*! e e u = 1 = 1 B& @kA 1 Ik tkpdt ∫ 0 & 61$%$>&e&R&6$2&01#+Q!$((d&I&R&#5)-/($&*,&)%$((-%$&*,&)%*)$//.!0&".($(&+./+-/.0$'&,%*5&01$&(0.%0&@>A&0*&01$&$!'& C = @#A&*,&)%*)$//.!0&+*52-(0#*!&@)%*+$((&*,&".(&+%$.0#*!A; = M4$%."$&%$(-/0(&@,*%&01%$$&'#,,$%$!0&#!#0#./&0$5)$%.0-%$(A&*,&2-%!#!"&%.0$&+*$,K+#$!0&.%$&)%$($!0$'&2$/*6> .A&.0&# D&R8]&_T>& %&D&];bHEC]?[&75&@(c.A?C9B >' C 2A&.0&# D&`F]&_T>& %&D&];8]EC]?[&75&@(c.A?C9B >' C +A&.0&# D&`8]&_T>& %&D&];kHEC]?[&75&@(c.A?C9.m >' C c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f(t ) F1(t0)= f(t0)=1+a⋅(t0−tn)B& @YA n & u (t ) F2(t0)=u1(t0)=[1−b(t0−tn)]−1B& @UA 1 n & 61$%$>'#n&?&!*%5./&0$5)$%.0-%$d&-B&b&R&)%*)$//.!0&+*!(0.!0(; V#"-%$(&F&.!'&H&)%$($!0&'#."%.5(&*,&,*%+$&+*!(0.!0&.!'&2-%!#!"&%.0$&0$5)$%.0-%$&,-!+0#*!(&@V&.!'&V&A&,*%& C F .!./3($'&)%*)$//.!0; f(t ) F(t )= 0 1 0 f(t ) 1,010 n 1,005 1,000 0,995 0,990 0,985 0,980 0,975 -60 -40 -20 0 20 40 60 tn t [oC] 0 ./0'%('% V*%+$&+*!(0.!0&0$5)$%.0-%$&,-!+0#*!&4(;&0$5)$%.0-%$&0 ] u (t ) F (t )= 1 0 2 0 u (t ) 1 n 1,30 1,20 1,10 1,00 0,90 0,80 -60 -40 -20 0 20 40 60 tn t [oC] 0 ./0'%1'% n-%!#!"&%.0$&0$5)$%.0-%$&,-!+0#*!&4(;&0$5)$%.0-%$&0 ] > Z. 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