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 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
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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Bu Makaleye Atıf Yap
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
C. S. Man and Q. X. Sun, On the significance of normal stress effects in the flow of glaciers, Journal of Glaciology 33, 268-273, 1987
C. S. Man, Nonsteady channel flow of ice as a modified second-order fluid with power law viscosity, Archive for Rational Mechanics and Analysis 119, 35-57, 1992
H.Franchi, B. Straughan, Stability and nonexistence results in the generalized theory of a fluid of second grade, Journal of Mathematical Analysis and Applications 180,122- 137, 1993
G. Gupta and M. Massoudi, Flow of a generalized second grade fluid between heated plates, Acta Mechanica 99, 21-33,1993
M. Massoudi and T. X. Phuoc, Fully developed flow of a modified second grade fluid with temperature dependent viscosity, Acta Mechanica 150, 23-37, 2001
M. Massoudi and T. X.Phuoc, Flow of a generalized second grade non-Newtonian fluid with variable viscosity, Continuum Mechanics and Thermodynamics 16, 529-538, 2004
Y. Aksoy, M. Pakdemirli and C. M. Khalique, Boundary layer equations and stretching sheet solutions for the modified second grade fluid, International Journal of Engineering Science 45, 829-841, 2007
J. E. Dunn and R. L. Fosdick, Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade, Archive for Rational Mechanics and Analysis 56, 191-252, 1974
K. R. Rajagopal and R. L. Fosdick, Thermodynamics and Stability of Fluids of Third Grade, Proceedings of the Royal Society A 369, 351-377, 1980
J. E. Dunn, and K. R. Rajagopal, Fluids of differential type: critical review and thermodynamic analysis, International Journal of Engineering Science 33, 689729 1995
K. R. Rajagopal and A. S. Gupta, An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate, Meccanica 19,158-160, 1984
K. R. Rajagopal and A. Z. Szeri, An existence theorem for the flow of a non- Newtonian fluid past an infinite porous plate, International Journal of Non-Linear Mechanics 21, 279-289, 1986
C. E. Maneschy, M. Massoudi and A. Ghoneimy, Heat transfer analysis of a non-Newtonian fluid past a porous plate, International Journal of Non-Linear Mechanics 28 131-143, 1993
T. Hayat and M. Khan, Homotopy solutions for a generalized second-grade fluid past a porous plate, Nonlinear Dynamics 42, 395-405, 2005
M. Pakdemirli, Y. Aksoy, M. Yürüsoy and C. M. Khalique, Symmetries of boundary layer equations of power-law fluids of second grade, Acta Mechanica Sinica 24, 661-670, 200