Reflection And Refraction of Weak Hydromagnetic Discontinuities
Reflection And Refraction of Weak Hydromagnetic Discontinuities
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52) ^is = s ^^^Is^'^'^tf • M) "if = h (SH|- X Su^f^ • M) I'o.. ■», , 0.. T_ . «N (3. 55) (5uf- X 5u?-„ • M) ' ^ -IS ~if *-' Here, M is the unit vector normal to the plane of incidence. Since, for fixed r and 9 ^ 90 ; numerical analysis shows that the numerators and denominators in (3- 55) vanish at isolated values of 9. , if at all, one may conclude that multiple reflection is the rule and single reflection is the exception. Observe that the vanishing of numerators or denominators in (3' 35) me...ans that the velocity vectors involved in these expressions are parallel.
Combining equations (5-29) and (3- 3) one obtains, with the aid of standard trigonometric identities, the following explicit formulas for the e . . ' s : is 1 f ' sf ' (3. 5^) ^if = ^^i^s'/^if it3 Here, D is given by D sf V. W, _(Ef Ef_)2 IS if^ IS if • v. Jv. -l)cos(9. -9„)sin(0. „-9„) if^ IS ^ ^ IS H' ^ if H' + w^3(l-wJf)cos(0.^-9jj)sin(O.^-9j^) \ j (5. 35) the corresponding expressions for D (d ) may be obtained from S 1 this equation simply by eliminating the subscript f(s) in all terms where it appears as a second subscript.
What to read after Reflection And Refraction of Weak Hydromagnetic Discontinuities?
You can find similar books in the "Read Also" column, or choose other free books by Jack Bazer to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
52) ^is = s ^^^Is^'^'^tf • M) "if = h (SH|- X Su^f^ • M) I'o.. ■», , 0.. T_ . «N (3. 55) (5uf- X 5u?-„ • M) ' ^ -IS ~if *-' Here, M is the unit vector normal to the plane of incidence. Since, for fixed r and 9 ^ 90 ; numerical analysis shows that the numerators and denominators in (3- 55) vanish at isolated values of 9. , if at all, one may conclude that multiple reflection is the rule and single reflection is the exception. Observe that the vanishing of numerators or denominators in (3' 35) me...ans that the velocity vectors involved in these expressions are parallel.
Combining equations (5-29) and (3- 3) one obtains, with the aid of standard trigonometric identities, the following explicit formulas for the e . . ' s : is 1 f ' sf ' (3. 5^) ^if = ^^i^s'/^if it3 Here, D is given by D sf V. W, _(Ef Ef_)2 IS if^ IS if • v. Jv. -l)cos(9. -9„)sin(0. „-9„) if^ IS ^ ^ IS H' ^ if H' + w^3(l-wJf)cos(0.^-9jj)sin(O.^-9j^) \ j (5. 35) the corresponding expressions for D (d ) may be obtained from S 1 this equation simply by eliminating the subscript f(s) in all terms where it appears as a second subscript.
What to read after Reflection And Refraction of Weak Hydromagnetic Discontinuities?
You can find similar books in the "Read Also" column, or choose other free books by Jack Bazer to read onlineMoreLess
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