Conventional and multiple deck boundary layer approach to second and third grade fluids

Pakdemi̇rli̇, Mehmet

doi:10.1016/0020-7225(94)90156-2

Cited by 33 publications

(15 citation statements)

References 15 publications

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“…Also, it has been shown that while for non-Newtonian fluids boundary layers are formed only at large Reynolds numbers, for non-linear fluids they can form even at small Reynolds numbers [3,4]. But perhaps the most striking characteristic of viscoelastic boundary layers is the notion that boundary layers of different natures (inertial vs. elastic) may develop [3] in these fluids sometimes exhibiting complicated multiple deck structures with different effects dominating in different decks [6].…”

Section: Introductionmentioning

confidence: 98%

Stagnation-point flow of upper-convected Maxwell fluids

Sadeghy¹,

Hajibeygi²,

Taghavi³

2006

International Journal of Non-Linear Mechanics

145

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Section: Introductionmentioning

confidence: 98%

Stagnation-point flow of upper-convected Maxwell fluids

Sadeghy¹,

Hajibeygi²,

Taghavi³

2006

International Journal of Non-Linear Mechanics

145

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“…Scaling symmetry is one of the most common symmetries producing useful solutions in boundary layer type equations [13][14][15]23]. All variables are rescaled as follows…”

Section: Similarity Transformationsmentioning

confidence: 99%

“…Using the symmetry, the partial differential system is transformed into an ordinary differential system. See [13][14][15][23][24][25] for applications of scaling symmetries to various problems. Resulting ordinary differential system is numerically solved by a finite difference algorithm.…”

Section: Introductionmentioning

confidence: 99%

Similarity Solutions for Boundary Layer Equations of a Powel-Eyring Fluid

Hayat

Pakdemi̇rli̇

Aksoy

2013

MCA

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Abstract-Boundary layer equations are derived for the first time for the Powel-Eyring fluid model, a non-Newtonian model proposed for pseudoplastic behavior. Using a scaling symmetry of the equations, partial differential system is transferred to an ordinary differential system. Resulting equations are numerically solved using a finite difference algorithm. Effects of non-Newtonian parameters on the solutions are discussed.

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“…Multiple deck boundary layer analysis is beyond the scope of this work. For the second and third grade fluids, such analysis has been presented elsewhere [28].…”

Section: Boundary Layer Equationsmentioning

confidence: 99%

Symmetries of boundary layer equations of power-law fluids of second grade

et al. 2008

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A modified power-law fluid of second grade is considered. 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. The equations of motion are derived for two dimensional incompressible flows, and from which the boundary layer equations are derived. Symmetries of the boundary layer equations are found by using Lie group theory, and then group classification with respect to power-law index is performed. By using one of the symmetries, namely the scaling symmetry, the partial differential system is transformed into an ordinary differential system, which is numerically integrated under the classical boundary layer conditions. 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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Conventional and multiple deck boundary layer approach to second and third grade fluids

Cited by 33 publications

References 15 publications

Stagnation-point flow of upper-convected Maxwell fluids

Stagnation-point flow of upper-convected Maxwell fluids

Similarity Solutions for Boundary Layer Equations of a Powel-Eyring Fluid

Symmetries of boundary layer equations of power-law fluids of second grade

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