zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Surface waves on viscoelastic magnetic fluid film flow down a vertical column. (English) Zbl 1213.76066
Summary: Long-wave perturbation method is employed to solve the nonlinear hydromagnetic stability of a thin electrically conductive viscoelastic fluid film flowing down on the outside surface of a vertical cylinder. As the viscoelastic effect and the magnetic force are introduced into governing equation, the results are more compatible with the practice situation. The modeling results display that the degree of instability in the film flow is further intensified by the lateral curvature of cylinder. It is also observed that by increasing the effect of the magnetic field and by decreasing the viscoelastic effect tends to enhance the stability as traveling down along the vertical cylinder. Moreover, the instability state could be neutralized by controlling the applied magnetic field. The optimum conditions can be found through the use of a system to alter stability of the film flow by controlling the applied magnetic field.
MSC:
76D33Waves in incompressible viscous fluids
76W05Magnetohydrodynamics and electrohydrodynamics
76A20Thin fluid films (fluid mechanics)
76D08Lubrication theory