Access the full text.
Sign up today, get DeepDyve free for 14 days.
R. Deka, U. Das, V. Soundalgekar (2001)
The Transient for MHD Stokes’s Oscillating Plate-an Exact SolutionJournal of Fluids Engineering-transactions of The Asme, 123
V. Yakhot, C. Colosqui (2006)
Stokes' second flow problem in a high-frequency limit: application to nanomechanical resonatorsJournal of Fluid Mechanics, 586
K. Wang K.Q. Zhu (2004)
Exact solution of Stokes’s second problem including start-up process by using operational calculusJ. Tsinghua University Sci. Technol., 44
K. Zhu, K. Hu, D. Yang (2007)
Analysis of Fractional Element of Viscoelastic Fluids Using Heaviside Operational Calculus
T. Hayat, S. Nadeem, S. Asghar (2004)
Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell modelAppl. Math. Comput., 151
N. Heymans, Jean Bauwens (1994)
Fractal rheological models and fractional differential equations for viscoelastic behaviorRheologica Acta, 33
F. Zhuang, J. Li (2009)
New Trends in Fluid Mechanics Research
Chaoyang Wang (1991)
Exact Solutions of the Steady-State Navier-Stokes EquationsAnnual Review of Fluid Mechanics, 23
H. Schlichting (1955)
Boundary Layer Theory
J. Park, P. Bahukudumbi, A. Beskok (2004)
Rarefaction effects on shear driven oscillatory gas flows: A direct simulation Monte Carlo study in the entire Knudsen regimePhysics of Fluids, 16
R. Panton (1968)
The transient for Stokes's oscillating plate: a solution in terms of tabulated functionsJournal of Fluid Mechanics, 31
Wenchang Tan, Mingyu Xu (2002)
Plane surface suddenly set in motion in a viscoelastic fluid with fractional Maxwell modelActa Mechanica Sinica, 18
L. Ai, K. Vafai (2005)
An Investigation of Stokes' Second Problem for Non-Newtonian FluidsNumerical Heat Transfer, Part A: Applications, 47
R. Hilfer (2000)
Applications Of Fractional Calculus In Physics
F. White (1974)
Viscous Fluid Flow
D. Hilbert (1962)
Methods of Mathematics Physics, vol. II
Abstract The start-up process of Stokes’ second problem of a viscoelastic material with fractional element is studied. The fluid above an infinite flat plane is set in motion by a sudden acceleration of the plate to steady oscillation. Exact solutions are obtained by using Laplace transform and Fourier transform. It is found that the relationship between the first peak value and the one of equal-amplitude oscillations depends on the distance from the plate. The amplitude decreases for increasing frequency and increasing distance.
"Acta Mechanica Sinica" – Springer Journals
Published: Oct 1, 2009
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.