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and substituting into equation 16 gives 6 *p •6 gte 6 •p '8 gte Therefore, Therefore, 22 A*m •cosh(my) + B»m •sinh(my) A*cosh(my) + B*sinh(my) (25) (26) The constant B may be solved for by substituting equation 23 into the second boun dary condition: A*m"sinh(my)I ~ where sinh (0) = 0 cosh (0) = 1. Therefore, ~p +B*m*cosh(my)I = ^ 8•H -p •I • I, (27) y=0 y=0 g Bg (28) 8 •H*m g The constant A may be solved for by substituting the general form into the first boundary condition: pt‘6e H*A p *8 *m sinh(mW) + ---J— P *8 y=0 te H*B p •8 -m ^osh(mW^ y=W -—yj- •_/* fA*cosh(my) + B*sinh(my)y dy (29) ny)J Pt e y=0 V y=W H*A sinh(my) * H*B cosh(my) y y=W y=0 (30) (31) (32) te te p•8"m*! p•X teg 8 *H*m g sinh(mW) 1 - cosh(mW) 31-13PDF Image | Development of the Zinc-Chlorine Battery for Utility
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