Hydrodynamical changes due to polymer migration in very dilute solutions |
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Authors: | A. Dutta R. A. Mashelkar |
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Affiliation: | (1) Polymer Engineering Group, Chemical Engineering Division, National Chemical Laboratory, 411008 Pune, India |
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Abstract: | The slip hypothesis, based on thermodynamical arguments, has been extended to obtain the flow characteristics of polymer solutions flowing in a nonhomogeneous flow field. An asymptotic analysis, valid for both channel and falling film flows, is presented that predicts the flow enhancement due to polymer migration. Concentration-viscosity coupling is shown to be a critical factor in the hydrodynamic analysis. The analysis, which essentially provides an upper bound on flow enhancement, explicitly accounts for the influence of wall shear stress, initial polymer concentration etc. A comparison with the pertinent experimental data shows reasonable agreement.c concentration - c0 concentration in shear-free region - ci initial concentration - d rate of deformation tensor - g acceleration due to gravity - g1 function defined in eq. [13] or [15] - g2 function defined in eq. [18] or [20] - H half-channel thickness or film thickness - K gas law constant - L length of the channel or film - q flow rate per unit width - q* normalized flow rate - T temperature - v velocity - V mean velocity - y transverse distance - yc location of solvent layer - w/µs - w/c0KT - /t convected derivative - dimensionless cenentration,c/c0 - c dimensionless interface concentration - w dimensionless wall concentration - relaxation time - µeff effective viscosity - µs solvent viscosity - dimensionless transverse distance,y/H - c dimensionless interface location - density - stress tensor - w wall shear stress - ciKT/w - ns no slipNCL-Communication No. 3155 |
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Keywords: | Slip polymer solutions non-uniform flow field |
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