Modeling of Deposition from “Waxy” Mixtures in a Pipeline under Laminar Flow Conditions via Moving Boundary Formulation

Abstract

A mathematical model, based on the moving boundary approach, is developed for the growth of the deposit from paraffinic mixtures due to heat transfer in a pipeline. The model extends a recent study on the deposition from "waxy" mixtures by including unsteady-state energy balance and heat transfer in both radial and axial directions for hydrodynamically established laminar flow. Numerical solutions were obtained for the growth of deposit with time, both radially and axially, from a binary eutectic mixture of n-C 16 H 34 and n-C 28 H 58 . Two different scenarios for the initiation of the deposition process were investigated. Even though the transient results for the temperature profile and deposit thickness differed significantly, identical steady-state predictions were obtained for the two scenarios. For a constant pipe-wall temperature, the steady-state deposit thickness was predicted to increase with the pipe length. The predicted deposit thickness was lower for a higher inlet mixture temperature, pipe-wall temperature, and Reynolds number. The trends in model predictions were compared with the published results from deposition experiments performed on similar waxy mixtures.

Investigation of wax deposit ‘sloughing’ from paraffinic mixtures in pipe flow

“…The difference between the normalized mass fractions, [( W d ) i − ( W h ) i ], provided the variation in the composition of the n ‐alkane with the i th carbon number …”

“…The difference between the normalized mass fractions, [(W d ) i À (W h ) i ], provided the variation in the composition of the n-alkane with the ith carbon number. [20,27,[36][37][38] Effect of changes in T ci Figure 5 shows the effect of increasing T ci on the normalized deposit composition. These results are for T hi ¼ WATþ7 8C and Re ¼ 11 000.…”

Gelification and mass transport in a static non-isothermal waxy solution

“…and the jump relation (see [2,15,18]) to derive the following integral equation for the unknown μ(τ)…”

Wax Segregation in Oils: A Multiscale Problem

“…4, or even on G(1 + g) 5 . Some preliminary simulations have been done (not taking into account g) and assuming that D is constant for G < G * and jumps to zero at G * .…”

“…There exists a huge literature on this subject (see e.g. [5], [7], [20], [29], [38], [41], [45], [56], [60]) aimed at interpreting the results on experimental loops and field experiments.…”