juk; 12 13 ngsjpftpay; NfhRtpd; Njw;wk; › ... › mod_resource › content › 1 › tal_p… · juk; 12,13 njhFg;G - jpU.S.rptypq;fk; , ngsjpftpay; Mrpupau; (ah/,e;J kfspu; fy;Y}up)

juk; 12,13

njhFg;G - jpU.S.rptypq;fk; , ngsjpftpay; Mrpupau; (ah/,e;J kfspu; fy;Y}up)

fzpdp tbtikg;G - jpU Nfh.Nfjhud;> j.njh.njh. Mrpupau; (t/juzpf;Fsk; fNz]; tpj;jpahyak;)

ngsjpftpay;

ghakhjpup

NfhRtpd; Njw;wk;

juk; 12,13



rPuhd fjp V Ald; tPRfpd;w tspj;jhiuapy; cs;s rpwpa rJu (jlj;jpd;) gug;gsT AapD}lhf tspapd; fdtsT gha;r;ry; tPjkhdJ tspapd; Ntfj;jpw;Fk; rJuj;jlj;jpd; jsj;jpw;Fk; ,ilapyhd Nfhzj;jpy; jq;fpAs;sJ.

tspapd; NtfkhdJ rJu jlj;jpd; jsj;jpw;F nrq;Fj;jhf ,Uf;Fk; NghJ rJu jlj;jpD}lhf

fdtsT gha;r;ry; tPjkhdJ VA apw;Fr; rkd;.

tspapd; NtfkhdJ rJuj;jlj;jpd; jsj;jpw;Fr; rkhe;jukhf ,Uf;Fk; NghJ rJu jlj;jpD}lhf tspapd; fdtsT gha;r;ry; tPjkhdJ g+r;rpak;. mjhtJ jlj;jpD}lhf ve;j tspg;gha;r;rYk; epfo KbahJ.

jsg;gug;G AapD}lhd kpd;ghak;

kpd;Gyj;Jld; ɵ Nfhzk; mikf;Fk; A gug;gpD}lhf kpd; ghak;

gha khjpup (Flux model)

juk; 12,13



Fwpg;G ϕ = V.A vd;gJ Xu;

vz;zpg; ngUf;fkhFk;.

Fwpg;G Flux (ghak;) vd;gJ

gha;r;ry;(Flow)vd;gjidf; Fwpf;Fk;.

jlj;jpD}lhf fdtsT gha;r;ry; tPjkhdJ ϕ jsj;jpw;Fr; nrq;Fj;jhd Ntff;$wpy; jq;fp

cs;sJ.

Fwpj;j gug;gpD}lhd gha;r;ry; tPjk; ghak; vd;gjw;F ,q;F

rJuj; jlj;jpDs;s fdtsTg; gha;r;ry; tPjk; ϕ=(vcosɵ)A

ϕ=vcosɵ . A vd;gJ fdtsTg; ghakhFk;.

ϕ=(vcosø)A vd;gJ jlj;jpD}lhd Ntfg;Gyj;jpd; ghaj;ijf; Fwpf;fpd;wJ. (Flux of ve-

locity field through the loop)

ve;jnthU fhtpg;Gyj;jpw;Fk; ,t;thW ghaj;ijg; gpuNahfpf;fyhk;.

juk; 12,13



vdf; Fwpf;fyhk;.

kpd;Gyk; xU fhtpahFk;. vdNt Fwpj;j gug;gpD}lhd kpd;ghak;

ϕ=(Ecosɵ)A

,q;F Ecosɵ vd;gJ gug;gpw;F nrq;Fj;jhd kpd;Gyr; nrwptpd; $whFk;.

Nkw;gug;gpD}lhd nkhj;j kpd;ghak;

ϕ=ƩEcosɵδA

δA ,d; jpirahdJ Nkw;gug;gpw;f nrq;Fj;jhfTk; Nkw;gug;gpypUe;J

mg;ghYk; ,Uf;Fk;

juk; 12,13



glj;jpYs;s rpwpa rJu jlj;jpD}lhf kpd;ghakhdJ Neu;g; ngWkhdkhfTk; kiwg; ngWkhdkhfTk; G+r;rpakhfTk; ,Uf;fyhk;.

rJuk; 1 ,D}lhd ghak; kiw (-)

2 ,D}lhd ghak; g+r;rpak;

3 ,D}lhd ghak; Neu; (+) Mf cs;sJ.

Nkw;gug;gpD}L nry;Yk; Njwpa tpirf; NfhLfspd; vz;zpf;ifahf kpd;ghaj;ijf; fUjyhk;.

kpd; ghaj;ij kpd; tpirf;NfhLfshff; fUjyhk;.

NfhRtpd; Njw;wk; VjhapDk; xU %ba Nkw;gug;gpD}lhd (NfhRtpd; Nkw;gug;G) nkhj;j kpd;ghakhdJ mk;%ba

Nkw;gug;ghy; cs;slf;fg;gl;l Njwpa Vw;wj;jpd; 1/ɛ klq;fpw;F rkdhFk;.

,q;F ɛ- Clfj;jpd; kpd; cl;GftpLjpwd; MFk;.

Note - %ba Nkw;gug;gpYs;s Vw;wj;jpd; (Vw;wg;gl;l nghUspd;) tbtk; Nkw;gug;gpYs;s Vw;wj;jpd; epiy Mfpad fUjg;gl Ntz;bajpy;iy.

E

Q

fd

juk; 12,13



NfhRtpd; Njw;wj;jpd; gpuNahfq;fs;

Q Vw;wj;jpd; gadhf Vw;gLk; nkhj;j kpd;ghak; Q/ɛ, Q Vw;wj;jpd; gadhf Vw;gLk; nkhj;j

kpd;tpirf; NfhLfspd; vz;zpf;if Q/ɛ vdf;fUjyhk;.(kpd;ghak;×kpd;tpirf; NfhLfspd; vz;zpf;if)

NOTE

Gs;sp Vw;wk; Q tpd; gadhf r J}uj;jpy; kpd;Gyr; nrwpT Jzpjy;.

P

+Q

r

Gs;sp Vw;wk; Q it ikakhfTk; r I MiuahfTk; nfhz;l NfhRtpd; Nfhs Nkw;gug;G tiuaWf;fg;gLfpd;wJ.

NfhRtpd; Njw;wj;ijg; gpuNahfpf;f.

rkr;rPupd;gb NfhRtpd; Nkw;gug;gpd; vy;yhg;Gs;spfspYk; kpd;Gyr;nrwpT rkDk; Miu topNaAk;

(ɵ=0) cs;sJ.

juk; 12,13



kpd;Ndw;wg;gl;l kpfg;ngupa jsf;flj;jpapd; Nkw;gug;gpw;F mz;ikapy; kpd;Gyr; nrwpT Jzpjy;.

jsf;flj;jpf;F Q kpd;Ndw;wk; kpd;Ndw;wg;gl;Ls;sJ.

myF Nkw;gug;gpYs;s Vw;wj;jpd; msT

(Vw;wg;gug;glu;j;jp = σ )

fA FWf;Fntl;Lg;gug;Gila nrt;tl;l NfhRtpd; cUis Nkw;gug;ghdJ mjd; mr;R flj;jpf;F nrq;Fj;jhf ,Uf;fj;jf;fthW tiuaWf;fg;gLfpd;wJ.

NfhRtpd; Njw;wj;ijg; gpuNahfpf;f.

kpd;Gyr; nrwpthdJ flj;jpapd; Nkw;gug;gpw;Fr; nrq;Fj;jhf ,Uf;Fk;.(Vnddpy; rktOj;j Nkw;gug;G)

vdNt NfhRtpd; cUis Nkw;gug;gpd; tisNkw;gug;gpYs;s kpd;ghak; G+r;rpak;.

tisgug;gpD}lhd

kpd;ghak;

+ tl;lg;gug;gpD}lhd kpd;ghak;

+ tl;lg;gug;gpD}lhd kpd;ghak;

+ + =

=

=

ve;jnthU kpd;Ndw;wg;gl;l flj;jpapd; Nkw;gug;gpw;F mz;ikapy; kpd;Gyr;nrwpT vg;NghJk;

NOTE

=

(σ - Vw;wj;jpd; gug;glu;j;jp)

E1 A1

E2 A2

A3

E3

×

× ×

×

× × × × × ×

× ×

× ×

×

×

× ×

×

juk; 12,13



kpd;Ndw;wg;gl;l Nfhsf;flj;jpapdhy; Vw;gLk; kpd;Gyr; nrwpT Jzpjy;.

Nfhsf;flj;jpapd; cl;gFjpapy; kpd;Ndw;wq;fs; ,Uf;fkhl;lJ. vy;yh Vw;wq;fSk; Nfhsj;jpd; ntsp Nkw;gug;gpy; rPuhfg;gutp ,Uf;fk;. (Vnddpy; Nfhsj;jpd; tisNkw;gug;gpd; tistpdhiu rkd;> Nfhsj;jpd; cl;gFjpapy; kpd;Gyr;nrwpT G+r;rpak;.)

tif I

ntspg;Gs;sp :- ikaj;jpy; ,Ue;J r >R J}uj;jpYs;s Gs;spapy; kpd;Gyr;nrwpT Jzpjy;.

Nfhsj;jpd; ikaj;ij ikakhfTk; r I MiuahfTk; nfhz;l NfhRtpd; NfhsNkw;gug;G tiuag;gLfpd;wJ.

NfhRtpd; Njw;wg;gb

rkr;rPupd;gb NfhRtpd; Nkw;gug;gpd; xt;nthU Gs;spapYk; kpd;Gyr;nrwpT rkDk; MiutopNaAk; cs;sJ.

+

R

r

+ +

+

+

+ + +

+

+

+

+ +

+ + + +

+

juk; 12,13



tif Ii

Nfhsj;jpd; Nkw;gug;Gg;Gs;spapy; kpd;Gyr;nrwpT Jzpjy;.

Nfhsj;jpd; ikaj;ij ikakhfTk; Nfhsj;jpd; Miu R I MiuahfTk; nfhz;l NfhRtpd; NfhsNkw;gug;G tiuag;gLfpd;wJ.

NfhRtpd; Njw;wj;jpd; gb

rkr;rPupd; gb NfhRtpd; Nfhs Nkw;gug;gpd; xt;nthU Gs;spapYk; kpd;Gyr;nrwpT rkDk; Miu topNaAk; cs;sJ.

Fwpj;j Nfhsj;jpw;F khwpyp

tif Iii

Nfhsj;jpd; cl;Gs;spapy; kpd;Gyr;nrwpT Jzpjy;.

+

+

+

+

+ + +

+

+

+

+

+ +

R

r

+

+

R

+ + +

+ + + +

+

+ +

+

+

+

+

+ +

+ +

juk; 12,13



Nfhsj;jpd; ikaj;ij ikakhfTk; r I(r < R) MiuahfTk; nfhz;l NfhRtpd; NfhsNkw;gug;G tiuag;gLfpd;wJ.

NfhRtpd; Njw;wj;jpd; gb

rkr;rPupd; gb NfhRtpd; Nfhs Nkw;gug;gpd; kPJ xt;nthU Gs;spapYk; kpd;Gyr;nrwpT rkDk; MiutopNaAk; cs;sJ.

E

R r

kpd;Ndw;wg;gl;l Nfhsf;flj;jpapdhy; Vw;gLk; kpd;Gyr;nrwpTf;Fk; Juj;Jf;Fkhd tiuG fhl;lg;gl;Ls;sJ.

juk; 12,13



kpd;Ndw;wg;gl;l nky;ypa ePsf;flj;jpapypUe;J r J}uj;jpy; kpd;Gyr; nrwpT Jzpjy;.

Xu; myF ePsj;jpy; flj;jpapYs;s Vw;wk; ג(myF ePs mlu;j;jp) vdf;fUJf.

dA2

dA1

dA3

E L

E

E

ג

s3

s2

s1

+ + + + + + + + + + + + + + + + + + + +

flj;jpia mr;rhfTilaJk; r MiuAilaJkhd NfhRtpd; cUis Nkw;gug;G tiuag;gLfpd;wJ.

NfhRtpd; Njw;wg;gb

rkr;rPupd;gb NfhRtpd; cUis Nkw;gug;gpd; tisNkw;gug;gpw;Fr; nrq;Fj;jhfTk; xt;nthU Gs;spapYk; kpd;Gyr;nrwptpd; gUkd; rkDk; MiutopNaahdJkhFk;..

tisgug;gpD}lhd kpd;ghak;

tl;lg;gug;gpD}lhd kpd;ghak; + =

tl;lg;gug;gpD}lhd kpd;ghak; = 0 (/ɵ=900)

,q;F l - cUisapd; cauk;

E

r

E

r R

flj;jpapd; Miu kpfr;rpwpaJ vdpd;

Documents

juk; 12 13 ngsjpftpay; NfhRtpd; Njw;wk; › ... › mod_resource › content › 1 › tal_p… · juk; 12,13 njhFg;G - jpU.S.rptypq;fk; , ngsjpftpay; Mrpupau; (ah/,e;J kfspu; fy;Y}up)