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program nanodecay |
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implicit none |
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real(kind=8) :: k, R, g, T0, pi, kappa, u, t, M |
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real(kind=8) :: BigK, BigG, rho, c, cp, umin, umax, u2, du |
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real(kind=8) :: rhop, sum, numer, denom, Tf0 |
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integer :: i, j, kk, nu |
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! fixed quantities: |
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pi = 4.0d0 * datan(1.0d0) |
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! initial particle temperature |
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T0 = 950.0 |
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! fluid phase temperature |
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Tf0 = 300.0 |
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! |
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! specific heat of particle (J g^-1 K^-1) |
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cp = 0.4*0.385 + 0.6*0.235 |
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! density of particle (g m^-3) |
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rhop = (0.4*8920 + 0.6 * 10490) * 1000.0 |
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! thermal conductivity of fluid (W m^-1 K^-1) |
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BigK = 0.6 |
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! density of fluid |
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rho = 1.0e6 |
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! specific heat of fluid (J g^-1 K^-1) |
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c = 4.184 |
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! interfacial conductance (W m^-2 K^-1) |
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BigG = 87.5 * 1e6 |
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! derived quantities |
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! |
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kappa = BigK / (rho * c) |
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g = BigG / BigK |
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umin = 0.001 |
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umax = 1000.0 |
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nu = 10000 |
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du = (umax-umin)/real(nu) |
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do i = 20, 50, 10 |
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! radius of particle (in m) |
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R = real(i)*1e-10 |
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! mass of particle |
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M = 4.0*pi*R*R*R*rhop/3.0 |
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k = 4.0 * pi * R*R*R * rho * c / (M * cp) |
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do j = 0, 1000000, 100 |
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! time in s |
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t = real(j)*1e-15 |
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sum = 0.0 |
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do kk = 0, nu |
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u = umin + (umax-umin)*real(kk)/nu |
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u2 = u*u |
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numer = exp(-kappa * u2 * t / (R*R)) * u2 |
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denom = (u2*(1.0+ R*g) - k*R*g)**2 + (u2*u - k*R*g*u)**2 |
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sum = sum + du*numer/denom |
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enddo |
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sum = sum*2.0*k*R*R*g*g*(T0-Tf0)/pi |
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write(*,*) t*1e15, Tf0 + sum |
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enddo |
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write(*,*) '&' |
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enddo |
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end program nanodecay |
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