Spherical Wave Propagation in Water Part I
Spherical Wave Propagation in Water Part I
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i. ; cc/rfO. :' 'l^':;-::. 'i^Si-^I- -;':? :irj'. -:V/ I'. ': >:-Da a J.. !:"v'- t- V A •■■I ■'. -■(. ■ ^3^: ':;•' ^ Yl-?i J O'^';-:; "i lOi*; . ■J'lv .
-20- r(h, t) = ? + eS x^-^^f (x) = K(t)x°'^^ I (R/K)°*'^^ + ef(x) j u(h, t) = a + 0. 25etJx°*2^g(x) = 0. 2SU(t)x°-^^ Ue/^?'^^ + eg(x)| (7 1) V(h, t) = V + 0. 75ex"°'^^T(x) = 0. 75"°*^^ |(R/H)^'2^ + eTCx) } fC(h, t) = 1 + l»75etj2x°*'^^7i(x) = 1. 75u^(t)x°*'^^/(R/R)^-^^ + eTt(x) where we have retained only two terms in the e-series expansion. Bu...t, since R(t) = r(H, t) and U = dR/dt, we have (7. 2) R/R = (R/K)^*'^^ + ef(l) = 1 + l4-ef(l) = U/U .
I Consequently, relations (7. 1) may be written . 25 r, a. K) u(x, t) = 0. 25U(t)x°'^5 K ^ e[g(x) - f(l))i (7. 5) V(x, t) = 0. 75x"°"2^ . Fl + e[T(x) - 3f(l)]l (7. 6) ^(x, t) = 1. 75U^(t)x°'''^ \l + e[7i(x) + f(l)]j The values of these quantities just behind the shock may be obtained by setting x = 1 in (7. I|-) - (7*6), so that (7. 3) r(x, t) = R(t)x°'''^ il + e[f(x) - f(l)] I (x)':t3 - -, x f , {, ^)ir^S, o .^ (x.
What to read after Spherical Wave Propagation in Water Part I?
You can find similar books in the "Read Also" column, or choose other free books by Sherman C Lowell to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
i. ; cc/rfO. :' 'l^':;-::. 'i^Si-^I- -;':? :irj'. -:V/ I'. ': >:-Da a J.. !:"v'- t- V A •■■I ■'. -■(. ■ ^3^: ':;•' ^ Yl-?i J O'^';-:; "i lOi*; . ■J'lv .
-20- r(h, t) = ? + eS x^-^^f (x) = K(t)x°'^^ I (R/K)°*'^^ + ef(x) j u(h, t) = a + 0. 25etJx°*2^g(x) = 0. 2SU(t)x°-^^ Ue/^?'^^ + eg(x)| (7 1) V(h, t) = V + 0. 75ex"°'^^T(x) = 0. 75"°*^^ |(R/H)^'2^ + eTCx) } fC(h, t) = 1 + l»75etj2x°*'^^7i(x) = 1. 75u^(t)x°*'^^/(R/R)^-^^ + eTt(x) where we have retained only two terms in the e-series expansion. Bu...t, since R(t) = r(H, t) and U = dR/dt, we have (7. 2) R/R = (R/K)^*'^^ + ef(l) = 1 + l4-ef(l) = U/U .
I Consequently, relations (7. 1) may be written . 25 r, a. K) u(x, t) = 0. 25U(t)x°'^5 K ^ e[g(x) - f(l))i (7. 5) V(x, t) = 0. 75x"°"2^ . Fl + e[T(x) - 3f(l)]l (7. 6) ^(x, t) = 1. 75U^(t)x°'''^ \l + e[7i(x) + f(l)]j The values of these quantities just behind the shock may be obtained by setting x = 1 in (7. I|-) - (7*6), so that (7. 3) r(x, t) = R(t)x°'''^ il + e[f(x) - f(l)] I (x)':t3 - -, x f , {, ^)ir^S, o .^ (x.
What to read after Spherical Wave Propagation in Water Part I?
You can find similar books in the "Read Also" column, or choose other free books by Sherman C Lowell to read onlineMoreLess
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