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Without including influences of the wall effects in the model, the used effective thermal conductivities were considered to be underestimated for conditions in the present study.
A nonlinear dynamical model was proposed to formulate the wall effects.
The wall effects appear to diminish significantly at the average slot width to particle diameter ratio of 25.
The wall effects are incorporated into the unified pressure drop equation.
In this work, the wall effects on pressure drop over a packed bed of SOPs were studied experimentally.
This paper introduces a purpose-designed test facility and accompanying methodology that combines physical measurements with Computational Fluid Dynamics (CFD) simulations to separate the contributions of radiation and conduction heat transfer, including the wall effects.
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Figure 21a c shows the wall effect for different proppant concentrations.
The wall effect involves the non-bonding penetration of the surface charge by the adsorbate.
This is explained by the fact that the latter two correlations take the wall effect into account.
It is shown that the effective radial heat conductivity can be taken constant over the radius, despite the wall effect.
Their correction is achieved by the subtraction of the mentioned delay time whereby its estimation is the task of the wall effect compensation phase.
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