No. 1, 1998 - Tribology in Industry

No. 1, 1998 - Tribology in Industry No. 1, 1998 - Tribology in Industry

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yield stress of a gel rvas determined when the gel hegan to flow. The parameters k and n can be calculated using the relations (5), (6) and (7) and the experimental results presented in table 1. by the following method: a) Shear rafes, for various values of rr (table 2) are calculated using relation (5) and (7) and the erperimental results {tabie 1); b) The shear rates thus determined are used, together with relation (6) and the results of table 1, to calculate the values of k tactor and it's average site for various values of rr (table 3); Table 2 ,iib"i ,-';^ i,fi'l " 3l_ 0.86 I 0.87 L qo g l, ?o!,_! ?9,7 | qq-,6 ] 2o:g_L?g es 6.s-i *iijo*-l _t- i"" i *u I zs;s-l-zss 43.4 | +e.z j as I 42.7s \ 42.s I az.zs I +z I at.t 6."is i- 6.;-l uo* T *f -i;g-oi[ igif sg i--t * - -f--- ---- - -j- 1--- 86 i as.o I as,z 1 e+.e I sa.+ I uo j as.o Gi;l 1277s]1 u;7,,ro tzt.z irzo.os oi- i , rzo.t rol ilirr I rzs.s l j ris--T res tzqt ,r"-J 'o{ i'*l;i.1 -rlg--@-r:q 153 152.4 15i.75 l- *' l19o I r50.4 i-[.ealr1qlJ-r11r 11a9.75 i 149.1 I 148 '102.9 I 102.4 I 101.9 I 101.4 i 101 1100.55 I 100.1 I 99.6 I 151.1 - ^^;;- i ^^^- l-^^. - -- .. , -:^ ^^- I * ?337P_ 2326 , ?31 I 23oe 22ee 22e -_228_ l 4! 415.6 | 414.1 Table 3 t-t, m'10-3 1.890 [o, 1 -rolR Tw n 0.81 0.82 n oe 0.84 0.85 0.86 0.87 O.BB m.10-3 Nm-2 '1.326 0.2984127 4275 108.332105.495102.745 100.08 97.693 95.182 92946 90.582 1 B9o I 1.28 ) Os42s2B1 4.562 98.150 95.239 92.425 89.705 87.199 84.775 oz.J to 79.938 1.890; 1134 04 5000 I at

N - 'r'c < q .'I (D l9 z € 'table 4 I ro+ i u..o t' 4199.5 To+ , ^0.83 K5 1.77 | 4174.4 4ffi2.3 -___-'-.--''-.-.- 1.54 I 4603.9 5191 .7 383 I 5159.7 -;o* 5687 | sezs i s oo 5940.9 i q.a6 sso7.7 3.BB I ,tnrtl l '-l-68s33 j-15;-[-*ou asoo l-a+o: il ,- -'|J*t r91 __;ioo tT;;, rr* 1.50 l;tJI- o 1-t** - - "u 1:-'--- [- ort I ?4ss2 o.2o I z+or.s T 1.42 'l szsl .z o/o I naouu 2.n I 6814.6 2.65 6789.6 i 3.00 67ffi.2 1 3.34 1.67 i 8344.5 I 1.83 e3sd Le5 G23 qi1__iJ443.6_J_o zs 1.05 7402,8 i;t-]lm5.-T-l ,tr1,ir4ol r" 9375 9253.3 1.30 9247.9 i 1 .35 147 i 9235.1 1 tr,A i 1.49 9232.3 | 1.52 9230.7 10.44 | 39951 4574.5 | 11940 i 2.71 T*-.-_-t . ^. 1.74 | rcras i r.as i rsres I t.zz 5100.7 5810.9 s.sz I 4098.7 *t-T_*.'rs rer. ]-ll-d-i?qrrf=-- 10r92 | r.gz I rozos i 13344 i 1.67 | 13405 i Eolls _l_3 9q _l_ru:n, 'r5s1o 5072.4 i 1.45 2.03 2!s6 l J qq __r _?_l!P!_j_J]8 1.52 | 29379 I 0.01 2qnj1 1 5q l ao297 | 314 6.87 iatstsl a.ot 4241s T _L _s_ql_ _f3286 _1.06 2.082 i 2.055 2.270 2.524 z.tJ I s.+o i rsoro I, q.oz aLrgulg;e -,--&_ilr-G 6739.2 3.72 - 1r044-I- 3s1 zt7z2 I __gt_, 0.95

yield stress of a gel rvas determ<strong>in</strong>ed when the gel hegan<br />

to flow.<br />

The parameters k and n can be calculated us<strong>in</strong>g the<br />

relations (5), (6) and (7) and the experimental results<br />

presented <strong>in</strong> table 1. by the follow<strong>in</strong>g method:<br />

a) Shear rafes, for various values of rr (table 2) are calculated<br />

us<strong>in</strong>g relation (5) and (7) and the erperimental<br />

results {tabie 1);<br />

b) The shear rates thus determ<strong>in</strong>ed are used, together<br />

with relation (6) and the results of table 1, to calculate<br />

the values of k tactor and it's average site for various<br />

values of rr (table 3);<br />

Table 2<br />

,iib"i ,-';^ i,fi'l "<br />

3l_<br />

0.86 I 0.87<br />

L qo g l, ?o!,_! ?9,7 | qq-,6 ] 2o:g_L?g es<br />

6.s-i *iijo*-l<br />

_t-<br />

i"" i *u I zs;s-l-zss<br />

43.4 | +e.z j as I 42.7s \ 42.s I az.zs I +z I at.t<br />

6."is i- 6.;-l uo* T *f -i;g-oi[ igif sg i--t *<br />

- -f--- ---- - -j-<br />

1---<br />

86 i as.o I as,z 1 e+.e I sa.+ I uo j as.o<br />

Gi;l 1277s]1 u;7,,ro tzt.z irzo.os oi- i , rzo.t rol ilirr I rzs.s l j ris--T res tzqt<br />

,r"-J 'o{ i'*l;i.1<br />

-rlg--@-r:q<br />

153 152.4 15i.75<br />

l- *' l19o<br />

I r50.4<br />

i-[.ealr1qlJ-r11r<br />

11a9.75 i 149.1 I 148<br />

'102.9 I 102.4 I 101.9 I 101.4 i 101 1100.55 I 100.1 I 99.6<br />

I 151.1<br />

-<br />

^^;;- i ^^^- l-^^. - -- .. , -:^ ^^- I *<br />

?337P_ 2326 , ?31 I 23oe 22ee 22e -_228_ l 4!<br />

415.6 | 414.1<br />

Table 3<br />

t-t,<br />

m'10-3<br />

1.890<br />

[o,<br />

1 -rolR Tw<br />

n 0.81 0.82<br />

n oe<br />

0.84 0.85 0.86 0.87 O.BB<br />

m.10-3<br />

Nm-2<br />

'1.326 0.2984127 4275 108.332105.495102.745 100.08 97.693 95.182 92946 90.582<br />

1 B9o I 1.28 ) Os42s2B1 4.562 98.150 95.239 92.425 89.705 87.199 84.775 oz.J to 79.938<br />

1.890; 1134 04 5000<br />

I at

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