Mass transfer from a solid soluble sphere to a flowing liquid stream

Abstract

Solution rates of 1h-, %-, and 1-in. cast benzoic acid spheres were measured under naturaland foreed-convection conditions. Upward-flowing streams of water and aqueous propylene glycol, in laminar and turbulent flow, were used to contact single spheres in either a 1.50-or 4.00-in.-diameter column. Sphere Reynolds numbers ranged from 10 to 16,920; Schmidt numbers from 987 to 69,680; sphere-to column-diameter ratios, ds/dc, from 0.123 to 0.497; and Grashof numbers from 5,130 to 125,200.The Sherwood number was found independent of the laminar-turbulent transition for pipe flow and the sphere-to column-diameter ratio when the Reynolds number is based on the average fluid velocity and sphere diameter.

Kinetics of chloridization of nickel oxide with gaseous hydrogen chloride

“…Although several empirical equations are available in the literature [30,31] to calculate the convective or external mass transfer coefficient (m), we have the well-known RanzMarshall [32] equation, which is expressed as follows:…”

A general kinetic model framework for the interpretation of adiabatic calorimeter rate data

“…Steinberger and Treybal [18] had provided a correlation for slowly moving liquids past single spheres as well as through beds of pellets. Disregarding the contribution of the dynamic part (for very low particle Reynolds numbers in the case of a marginally stirred liquid in an ARC) the Sherwood number (Sh) is correlated with the Schmidt (Sc) and the Grashoff (Gr) numbers as Sh = 2.0 + 0.569(GrSc) 0.25 , GrSc < 10 8 (12) where…”

Decarburization of Molten Fe–C Droplet: Numerical Simulation and Experimental Validation

“…(1) to (3). [5][6][7] The latter was obtained by using dimensionless correlations written in Eqs. (1) to (3).…”

“…(1) to (3). [5][6][7] The former was calculated by using decarburization rate equation given in Eq. (23): .... (23) where pct C is the average carbon concentration in the droplet obtained by the present numerical simulation, and is the partial pressure of CO2 in the bulk.…”

“…(1) to (3). [5][6][7] Using those correlations, mass transfer coefficient of oxidant gas may be estimated, and consequently, decarburization rate of the iron droplet is calculated:…”