Simplified Numerical and Analytical Approach for Solutes in Turbulent Flow Reacting with Smooth Pipe Walls

Lari, Kaveh Sookhak; Reeuwijk, Maarten van; Maksimović, Č.

doi:10.1061/(asce)hy.1943-7900.0000229

Cited by 14 publications

(10 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…that L R (Notter & Sleicher 1972;Garcia-Ybarra & Pinelli 2006;Sookhak Lari et al 2010). It follows from the estimates above that advection will be negligible relative…”

Section: Derivation Of Far-field Equationsmentioning

confidence: 91%

“…The Neumann solution required performing a Taylor series expansion around x = 0 and taking the limit of a → 0. Solution AS-R is equivalent to the solution derived in Sookhak Lari et al (2010). AS-N is documented to a large extent in Bird et al (2002, pp.…”

Section: Far-field Solutions (A) Linear Boundary Conditionsmentioning

confidence: 92%

“…heavy oils), the scalar diffuses much slower than momentum. The associated layer of thickness d m near the wall where molecular diffusion dominates over turbulent transport, hereafter referred to as the mass transfer boundary layer (MTBL) will then be entirely nested in the viscous sublayer (Pope 2000;Schlichting & Gersten 2000;Garcia-Ybarra & Pinelli 2006;Sookhak Lari et al 2010). Outside the MTBL, the turbulence causes sufficient mixing to assume a uniform concentration.…”

Section: Near-wall Profiles Of Velocity and Eddy Diffusivitymentioning

confidence: 99%

“…Garcia-Ybarra & Pinelli (2006) used matched asymptotic expansions to derive a closed-form solution for the concentration profile for a fixed concentration (Dirichlet) BC at high Sc. Sookhak Lari et al (2010) independently arrived at the same closed-form solution by observing that the scalar flux was approximately constant across the concentration boundary layer in a study on the decay of residual chlorine in pipes as a result of a firstorder reaction with the wall (Robin BC). Despite the different BCs, both studies report the same Sh correlation.…”

Section: Introductionmentioning

confidence: 96%

“…The aim of this paper is to generalize the work of Garcia-Ybarra &Pinelli (2006) andSookhak Lari et al (2010) to much more general BCs and to provide simple closed-form solutions for the mass-transfer, decay coefficients and concentration profiles. After a discussion on the appropriate velocity and turbulent diffusivity profiles ( §2), the governing equations for the far-field are derived ( §3).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Asymptotic solutions for turbulent mass transfer at high Schmidt number

Reeuwijk

Lari

2012

Proc. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

We present closed-form solutions for high Schmidt number mass transfer in a hydrodynamically fully developed turbulent flow. Governing equations for the near-and far-field are developed for a large class of boundary conditions (BCs) for which the mass flux is a function of the concentration at the wall. We show that for this class of BCs, which includes nonlinear wall reactions, the mass transfer coefficient is independent of the BC and the Sherwood correlation is therefore universal. For Dirichlet, Neumann and Robin BCs, the far-field solutions are in good correspondence with the method of separating variables and near-field solutions are in good agreement with numerical simulations. However, in contrast with the far-field solutions, the Sherwood correlation in the near-field depends on the specific BC. As an example of nonlinear BCs, solutions for a second-order wall reaction are derived which are compared with numerical simulations and found to be in excellent agreement.

show abstract

“…that L R (Notter & Sleicher 1972;Garcia-Ybarra & Pinelli 2006;Sookhak Lari et al 2010). It follows from the estimates above that advection will be negligible relative…”

Section: Derivation Of Far-field Equationsmentioning

confidence: 91%

Section: Far-field Solutions (A) Linear Boundary Conditionsmentioning

confidence: 92%