Analytical Solutions of Viscoelastic Flow through Porous Channels
Viscoelastic flow in channel having transient hydrodynamic behavior, filled with and without porous medium is addressed. The boundary value problem is investigated through analytical and numerical solutions, for the governing system of partial differential equations, arising in the study for flow...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Mehran University of Engineering and Technology
2012-07-01
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| Series: | Mehran University Research Journal of Engineering and Technology |
| Subjects: | |
| Online Access: | http://publications.muet.edu.pk/research_papers/pdf/pdf659.pdf |
| Summary: | Viscoelastic flow in channel having transient hydrodynamic behavior, filled with and without porous
medium is addressed. The boundary value problem is investigated through analytical and numerical
solutions, for the governing system of partial differential equations, arising in the study for flow of
viscoelastic fluids. Analytical solutions in terms of velocity, normal stress and shear stress at different
values of time, viscosity and Darcy\'s number are obtained for constant viscosity Oldroyd-B constitutive
model. Lie group technique is adopted to find solutions through symmetry of differential equations,
whilst numerical solutions are realized by employing ND Solve, Mathematica Solver. Lie group technique
is compared against numerical solutions by employing ND Solve, Mathematica Solver. The analytical
solutions are observed in good agreement with the numerical solutions. |
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| ISSN: | 0254-7821 2413-7219 |