def corr_fog_mt(sher, nuss, pran, schm, rh, t_interface, t, p):
""" fog correction for the mass transfer
H.J.H. Brouwers, Effect of fog formation on turbulent vapor condensation with noncondensable gases,
J. Heat Transf. 118 (1) (1996) 243–245,
doi: 10.1115/1.2824052
Args:
sher: Sherwood number
nuss: sensible Nusselt number
pran: Prandtl number
schm: Schmidt number
rh: relative humidity
t_interface: temperature at the condensate interface [celsius]
t: temperature in the bulk flow [celsius]
p: fluid pressure [Pa]
Returns:
corrections factor for fog formation
"""
p_v = rh * fpa.temperature2saturation_vapour_pressure(t)
c_p = fpa.moist_air_heat_capacity(t, p, p_v)
x_vbs, x_vb = fpa.__moles_fraction_mixture__(p_v, p, t)
x_vis, x_vi = fpa.__moles_fraction_mixture__(p_v, p, t_interface)
lmbda = fpw.enthalpy_evaporation(t)
# c_p_alt = c_p_mixture(x_vb, t)
# lmbda_mol = lmbda * fpa.MOLES_MASS_VAPOUR
return (1. + (lmbda / c_p * pran / schm * (x_vb - x_vi) / (t - t_interface) * sher / nuss) ** -1) / \
(1. + (lmbda / c_p * pran / schm * saturation_line_slope(t_interface, p)) ** -1)
def corr_suction_ht(sher, nuss, pran, schm, rh, t_interface, t, p):
""" suction correction for the heat transfer
H.J.H. Brouwers, Effect of fog formation on turbulent vapor condensation with noncondensable gases,
J. Heat Transf. 118 (1) (1996) 243–245,
doi: 10.1115/1.2824052
Args:
sher: Sherwood number
nuss: sensible Nusselt number
pran: Prandtl number
schm: Schmidt number
rh: relative humidity
t_interface: temperature at the condensate interface [celsius]
t: temperature in the bulk flow [celsius]
p: fluid pressure [Pa]
Returns:
corrections factor for suction
"""
p_v = rh * fpa.temperature2saturation_vapour_pressure(t)
c_p = fpa.moist_air_heat_capacity(t, p, p_v)
c_pv = fpw.heat_capacity(t)
x_vbs, x_vb = fpa.__moles_fraction_mixture__(p_v, p, t)
x_vis, x_vi = fpa.__moles_fraction_mixture__(p_v, p, t_interface)
r_t = c_pv / c_p * (sher * pran) / (schm * nuss) * np.log(
(1 - x_vb) / (1 - x_vi))
return -1 * r_t / (np.exp(-r_t) - 1)
def jakob(t_bulk, t_interface, t_in, pressure, rel_hum):
""" Jakob number/ ratio of sensible to latent heat
Args:
t_bulk: mean bulk temperature [celsius]
t_interface: temperature at the condensate interface [celsius]
t_in: inlet temperature [celsius]
pressure: fluid pressure at the inlet [Pa]
rel_hum: relative humidity at the inlet
"""
return fpa.moist_air_heat_capacity(t_bulk, pressure, rel_hum * fpa.temperature2saturation_vapour_pressure(t_in)) * \
(t_bulk - t_interface) / fpw.enthalpy_evaporation(t_bulk)
