Effects of power-law index and second grade coefficient on the boundary layers are shown and solutions are contrasted with the usual second grade fluid solutions.
📌 3 Key Takeaways
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Objective & Hypothesis:The flow of an incompressible fluid of modified second grade past an infinite porous plate subject to either suction or blowing at the plate is studied.
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Key Findings & Data:The model is a combination of power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviors.
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Conclusion & Impact:Effects of power-law index and second grade coefficient on the boundary layers are shown and solutions are contrasted with the usual second grade fluid solutions.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
The flow of an incompressible fluid of modified second grade past an infinite porous plate subject to either suction or blowing at the plate is studied. The model is a combination of power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviors. Equations of motion in dimensionless form are derived. Analytical solutions of the outcoming non-linear differential equations are found by using the homotopy analysis method (HAM), which is a powerful semi-analytical method. Effects of power-law index and second grade coefficient on the boundary layers are shown and solutions are contrasted with the usual second grade fluid solutions.
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Cite This Article
ABBASBANDY, S., YÜRÜSOY, M., GÜLLÜCE, H. (2014). Analytıcal solutıons of non-lınear equatıons of power- law fluıds of second grade over an ınfınıte porous plate. Mathematical and Computational Applications, Cilt: 19 - Sayı: 2, 124–133. https://ajindex.com/articles/279810
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