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351# 23 "/home/runner/work/MFC/MFC/src/simulation/m_hb_function.fpp"
354 real(wp),
intent(in) :: tau0, k_val, nn_val
355 real(wp),
intent(in) :: mu_min_val, mu_max_val
356 real(wp),
intent(in) :: shear_rate, hb_m_val
358 real(wp) :: yield_term, power_law_term, g_eff
362 yield_term = tau0*hb_m_val
364 yield_term = tau0*(1._wp - exp(-hb_m_val*shear_rate))/shear_rate
366 power_law_term = k_val*(g_eff**(nn_val - 1._wp))
368 mu = yield_term + power_law_term
369 if (mu_min_val >
dflt_real) mu = max(mu, mu_min_val)
370 if (mu_max_val >
dflt_real) mu = min(mu, mu_max_val)
378# 48 "/home/runner/work/MFC/MFC/src/simulation/m_hb_function.fpp"
380# 48 "/home/runner/work/MFC/MFC/src/simulation/m_hb_function.fpp"
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390# 48 "/home/runner/work/MFC/MFC/src/simulation/m_hb_function.fpp"
393 real(wp),
intent(in) :: d_xx, d_yy, d_zz, d_xy, d_xz, d_yz
394 real(wp) :: shear_rate
396 shear_rate = sqrt(2._wp*(d_xx*d_xx + d_yy*d_yy + d_zz*d_zz + 2._wp*(d_xy*d_xy + d_xz*d_xz + d_yz*d_yz)))
406# 62 "/home/runner/work/MFC/MFC/src/simulation/m_hb_function.fpp"
408# 62 "/home/runner/work/MFC/MFC/src/simulation/m_hb_function.fpp"
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418# 62 "/home/runner/work/MFC/MFC/src/simulation/m_hb_function.fpp"
421 real(wp),
dimension(*),
intent(in) :: alpha
422 real(wp),
intent(in) :: shear_rate
423 real(wp),
dimension(2,*),
intent(in) :: res
424 real(wp),
dimension(2),
intent(out) :: re_out
432 if (
re_size(i) > 0) re_out(i) = 0._wp
443 re_out(i) = alpha(fl)*mu_q + re_out(i)
445 re_out(i) = alpha(fl)/res(i, q) + re_out(i)
448 re_out(i) = 1._wp/max(re_out(i),
sgm_eps)
Compile-time constant parameters: default values, tolerances, and physical constants.
real(wp), parameter sgm_eps
Segmentation tolerance.
real(wp), parameter dflt_real
Default real value.
real(wp), parameter verysmall
Very small number.
Shared derived types for field data, patch geometry, bubble dynamics, and MPI I/O structures.
Global parameters for the computational domain, fluid properties, and simulation algorithm configurat...
integer, dimension(2) re_size
logical any_non_newtonian
.true. if any fluid is non-Newtonian
real(wp), dimension(:), allocatable hb_tau0
real(wp), dimension(:), allocatable hb_k
integer, dimension(:,:), allocatable re_idx
real(wp), dimension(:), allocatable hb_nn
real(wp), dimension(:), allocatable hb_m_arr
real(wp), dimension(:), allocatable hb_mu_min
real(wp), dimension(:), allocatable hb_mu_max
logical, dimension(:), allocatable is_non_newtonian
per-fluid NN flag
Herschel-Bulkley non-Newtonian viscosity: formula, shear rate, and mixture inverse-Re.
subroutine, public s_compute_mixture_inv_re(alpha, shear_rate, res, re_out)
Mixture inverse Reynolds (= 1/mu_mix) per direction (1=shear, 2=bulk) at one state....
real(wp) function, public f_compute_shear_rate_from_components(d_xx, d_yy, d_zz, d_xy, d_xz, d_yz)
Shear rate gamma_dot = sqrt(2 D_ij D_ij). Absent dims pass 0.
real(wp) function, public f_compute_hb_viscosity(tau0, k_val, nn_val, mu_min_val, mu_max_val, shear_rate, hb_m_val)
Papanastasiou-regularized Herschel-Bulkley viscosity.