Access the full text.
Sign up today, get DeepDyve free for 14 days.
G.P. Galdi (1994)
An Introduction to the Mathematical Theory of the Navier–Stokes Equations
I. Aganovic (2003)
An introduction to boundary value problems of continuum mechanics
D. Dupuy, G. Panasenko, R. Stavre (2004)
ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTUREMathematical Models and Methods in Applied Sciences, 14
M. Ciarletta (2001)
Spatial decay estimates for heat-conducting micropolar fluidsInternational Journal of Engineering Science, 39
E.L. Aero, A.N. Bulganin, E.V. Kuvshinski (1965)
Asymmetric hydrodynamicsPrikl. Mat. Meh., 29
A.C. Eringen (1966)
Theory of micropolar fluidsJ. Math. Mech., 16
E. Marušić‐Paloka, Igor Pažanin (2009)
Modelling of heat transfer in a laminar flow through a helical pipeMath. Comput. Model., 50
W. Dean, J. Hurst (1959)
Note on the motion of fluid in a curved pipeMathematika, 6
M. Germano (1982)
On the effect of torsion on a helical pipe flowJournal of Fluid Mechanics, 125
E. Marušić‐Paloka, Igor Pažanin (2010)
On the effects of curved geometry on heat conduction through a distorted pipeNonlinear Analysis-real World Applications, 11
R. Stavre (2002)
The control of the pressure for a micropolar fluidZeitschrift für angewandte Mathematik und Physik ZAMP, 53
E. Marušić‐Paloka, Igor Pažanin (2007)
Fluid flow through a helical pipeZeitschrift für angewandte Mathematik und Physik, 58
G. Lukaszewicz (1998)
Micropolar Fluids: Theory and Applications
E. Marušić‐Paloka, Igor Pažanin (2009)
Non-isothermal fluid flow through a thin pipe with coolingApplicable Analysis, 88
S. Allen, K. Kline (1968)
The Effects of Concentration in Fluid Suspensions, 12
G. Łukaszewicz, M. Rojas-Medar, Marcelo Santos (2002)
Stationary micropolar fluid with boundary data in L2Journal of Mathematical Analysis and Applications, 271
G. Galdi (1994)
An Introduction to the Mathematical Theory of the Navier-Stokes Equations : Volume I: Linearised Steady Problems
A. Borrelli, M. Patria, E. Piras (2004)
Spatial decay estimate in steady motion of a micropolar fluid in a pipeAnnali dell’Università di Ferrara, 50
Delphine Dupuy, G. Panasenko, R. Stavre (2008)
Asymptotic solution for a micropolar flow in a curvilinear channelZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 88
W. Dean (1927)
XVI. Note on the motion of fluid in a curved pipePhilosophical Magazine Series 1, 4
E. Marušić‐Paloka (2001)
The Effects of Flexion and Torsion on a Fluid Flow Through a Curved PipeApplied Mathematics and Optimization, 44
M. Germano (1989)
The Dean equations extended to a helical pipe flowJournal of Fluid Mechanics, 203
A. Borelli, M.C. Patria, E. Piras (2004)
Spatial decay estimate in steady motion of a micropolar fluid in a pipeAnn. Univ. Ferrara, 50
A. Eringen (1966)
THEORY OF MICROPOLAR FLUIDSIndiana University Mathematics Journal, 16
We study the stationary motion of a micropolar fluid in a thin (or long) curved pipe via rigorous asymptotic analysis. An asymptotic solution is found, showing explicitly the effects of pipe’s distortion and microstructure on the effective behavior of the flow. We justify the obtained model by proving the corresponding error estimate.
Acta Applicandae Mathematicae – Springer Journals
Published: Jul 22, 2011
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.