The surface rejuvenation model for turbulent convective transport—an exact solution

Transfer processes in turbulent pipe flow described by the ERSR model

“…Other authors have applied the surface-renewal concept to turbulent shear flows, such as the growth-breakdown models or periodic-viscous-sublayer models of Einstein and Li (1956), Ruckenstein (1958), Nijsing (1969), Meek and Baer (1970), and Pinczewski and Sideman (1974), the fih-penetration model of Toor and Marchello (1 958), the random-surface-renewal models of Hanratty (1956), Thomas (1978), Klijn (1979), and Fortuin and Klijn (1982), the surface-rejuvenation models of Harriot (1962), Thomas (1975Thomas ( , 1980, and Loughlin et al (1989, or the random-growth-breakdown model of Hart (1988). A compilation of various surface-renewal models was published by Sideman and Pinczewski (1975) and Brodkey et al (1978).…”

Turbulent thermophoresis effect on particle transport processes

“…The mean temperature gradient is calculated according to the boundary conditions T = T w at y = 0 and T = T ∞ at y → ∞ of Eq. (9), and is given in [9] as…”

“…The fluid motion led to an acceleration of the low momentum fluid near the wall, and it has been suggested that the low momentum fluid near the wall leads to a laminar boundary being developed and which eventually becomes [5], and that the particles suspended in turbulent fluid are transported by the bursting events of the wall regions in which the values of turbulent intensities and Reynolds stresses increase at lager particles (d p = 1100 µm) and decrease at smaller particles (d p = 120 µm) depended on the number of wall ejections [6]. The surface rejuvenation model has modified the basic surface renew model, which is based on the assumption that turbulent eddies move from main flow into direct contact with the wall and contradicts the observation from the experimental studies, to account for the effect of eddies not penetrating down to the wall itself [7] and has been coupled with a stochastic computational concept to determine the mean mass transfer coefficient in terms of unspecified parameters of eddy lifetime and approach distance [8] and to evaluate turbulent convection transfer in the viscous sublayer by adjusting its parameters [9][10][11]. In a gas-solid mixture the particles move with the air stream and arrive at the edge of the viscous sublayer by turbulent eddy diffusion.…”

Evaporation from porous surfaces into turbulent airflows: Coupling eddy characteristics with pore scale vapor diffusion

“…The original SR theory inspired a class of related models based on various heuristic depictions of the near-wall turbulent fluid flows. Some of the well-known variants of the SR theory include film-penetration models [Toor and Marchello, 1958;Brusset et al, 1973], periodic growth-breakdown models [Einstein and Li, 1958;Ruckenstein, 1958;Meek and Baer, 1970;Pinczewski and Sideman, 1974], random surface renewal models [Hanratty, 1956;Fortuin and Klijn, 1982;Fortuin et al, 1992], and surface rejuvenation models [Harriott, 1962;Bullin and Dukler, 1972;Thomas et al, 1975;Loughlin et al, 1985]. These eddy renewal models assume that the replacement of individual fluid elements near a surface may be represented as a stochastic process driven by a turbulent flow field away from the surface.…”