Flow behavior in weakly permeable micro-tube with varying viscosity near the wall
Weakly permeable micro-tubes are employed in many applications involving heat and/or mass transfer. During these processes, either solute concentration builds up (mass transfer) or steep change in temperature (heat transfer) takes place near the permeable wall causing a change in the viscosity of th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2017-12-01
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| Series: | Polish Journal of Chemical Technology |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/pjct-2017-0062 |
| _version_ | 1818689411009740800 |
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| author | Gupta Ravikant R. Kumar Vineet Chand Shri |
| author_facet | Gupta Ravikant R. Kumar Vineet Chand Shri |
| author_sort | Gupta Ravikant R. |
| collection | DOAJ |
| description | Weakly permeable micro-tubes are employed in many applications involving heat and/or mass transfer. During these processes, either solute concentration builds up (mass transfer) or steep change in temperature (heat transfer) takes place near the permeable wall causing a change in the viscosity of the fluid. Results of the present work suggest that such change in viscosity leads to a considerable alteration in the flow behavior, and the commonly assumed parabolic velocity profile no longer exists. To solve the problem numerically, the equation of motion was simplified to represent permeation of incompressible, Newtonian fluid with changing viscosity through a micro-tube. Even after considerable simplification, the accuracy of the results was the same as that obtained by previously reported results for some specific cases using rigorous formulation. The algorithm developed in the present work is found to be numerically robust and simple so that it can be easily integrated with other simulations. |
| first_indexed | 2024-12-17T12:09:40Z |
| format | Article |
| id | doaj.art-a77176db3a1a42cba21cb9b0c316008f |
| institution | Directory Open Access Journal |
| issn | 1899-4741 |
| language | English |
| last_indexed | 2024-12-17T12:09:40Z |
| publishDate | 2017-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Polish Journal of Chemical Technology |
| spelling | doaj.art-a77176db3a1a42cba21cb9b0c316008f2022-12-21T21:49:29ZengSciendoPolish Journal of Chemical Technology1899-47412017-12-01194162110.1515/pjct-2017-0062pjct-2017-0062Flow behavior in weakly permeable micro-tube with varying viscosity near the wallGupta Ravikant R.0Kumar Vineet1Chand Shri2Indian Institute of Technology Roorkee, Department of Chemical Engineering, Roorkee247667, IndiaIndian School of Mines, Department of Chemical Engineering, Dhanbad826004, IndiaIndian Institute of Technology Roorkee, Department of Chemical Engineering, Roorkee247667, IndiaWeakly permeable micro-tubes are employed in many applications involving heat and/or mass transfer. During these processes, either solute concentration builds up (mass transfer) or steep change in temperature (heat transfer) takes place near the permeable wall causing a change in the viscosity of the fluid. Results of the present work suggest that such change in viscosity leads to a considerable alteration in the flow behavior, and the commonly assumed parabolic velocity profile no longer exists. To solve the problem numerically, the equation of motion was simplified to represent permeation of incompressible, Newtonian fluid with changing viscosity through a micro-tube. Even after considerable simplification, the accuracy of the results was the same as that obtained by previously reported results for some specific cases using rigorous formulation. The algorithm developed in the present work is found to be numerically robust and simple so that it can be easily integrated with other simulations.https://doi.org/10.1515/pjct-2017-0062hollow-fibermicro-tubepermeationalgorithmvariable viscosityvelocity profileequation of motionnavier-stokes equation |
| spellingShingle | Gupta Ravikant R. Kumar Vineet Chand Shri Flow behavior in weakly permeable micro-tube with varying viscosity near the wall Polish Journal of Chemical Technology hollow-fiber micro-tube permeation algorithm variable viscosity velocity profile equation of motion navier-stokes equation |
| title | Flow behavior in weakly permeable micro-tube with varying viscosity near the wall |
| title_full | Flow behavior in weakly permeable micro-tube with varying viscosity near the wall |
| title_fullStr | Flow behavior in weakly permeable micro-tube with varying viscosity near the wall |
| title_full_unstemmed | Flow behavior in weakly permeable micro-tube with varying viscosity near the wall |
| title_short | Flow behavior in weakly permeable micro-tube with varying viscosity near the wall |
| title_sort | flow behavior in weakly permeable micro tube with varying viscosity near the wall |
| topic | hollow-fiber micro-tube permeation algorithm variable viscosity velocity profile equation of motion navier-stokes equation |
| url | https://doi.org/10.1515/pjct-2017-0062 |
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