 | W. Mark Saltzman - 2001 - 385 pages
...Solving Equation 3-40 subject to Equation 3-41 yields: £A CD uo) - J0(uo) Y0(ur) au Jl(ud) (3-42) where J0 and Y0 are Bessel functions of the first and second kind of order 0. Equation 3-42 is shown graphically in Figure 3.7. When the concentration of the solute... | |
 | W. Mark Saltzman - 2004 - 544 pages
...B-40 subject to Equation B-41 yields oo t Jo(ur) Y0(ua) - J0(ua) Y0(ur) du •=1+- e 71 J 0 (B-42) where J0 and Y0 are Bessel functions of the first and second kind of order 0. Equation B-42 is shown graphically in Figure B.4. When the concentration of the solute... | |
 | Lokenath Debnath - 2005 - 774 pages
...The general solution of (1.13.64) is R (r) = Ci Jo (kr) + C2 Yo (kr) , (1.13.65) where JQ and УО are Bessel functions of the first and second kinds of order zero. The condition |n(0)| < oo requires C% — 0. Since УО becomes unbounded at r = 0, the boundary condition... | |
 | 804 pages
...т f\ -~\ v fl —\ a flT\ RH = CiJcAAnrJ + с2Хо^,лпг/ + ^ — ö U-LJ X ^ II where Jo and Yo are Bessel functions of the first and second kinds of order zero, and Cj. and c2 are arbitrary constants. Equation (31) involves three constants of integration, but... | |
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Jl(ud) (3-42) where J0 and Y0 are Bessel functions of the first and second kind of order 0. 