Impulsive Stretching of a Surface in a Viscous Fluid

Impulsive Stretching of a Surface in a Viscous Fluid

The induced transient viscous flow due to a suddenly stretched surface is studied. After a similarity transform, the unsteady Navier-Stokes equation is solved by several methods, including perturbation for small times, numerical integration, and asymptotic analysis for large times. It is found that...

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Veröffentlicht in:SIAM Journal of Applied Mathematics 1997-02, Vol.57 (1), p.1-14
Hauptverfasser: Wang, C. Y., Du, Q., Miklavcic, M., Chang, C. C.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
ASYMPTOTIC SOLUTIONS
Boundary conditions
Cranes & hoists
ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
Flow velocity
Infinity
Mathematical surfaces
MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS
Navier Stokes equation
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PERTURBATION THEORY
Steady states
Validity
Velocity
Viscosity
VISCOUS FLOW
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Beschreibung
Zusammenfassung:The induced transient viscous flow due to a suddenly stretched surface is studied. After a similarity transform, the unsteady Navier-Stokes equation is solved by several methods, including perturbation for small times, numerical integration, and asymptotic analysis for large times. It is found that the validity of the small-time series can be greatly extended and the approach to steady state is exponential.
ISSN:0036-1399
1095-712X
DOI:10.1137/s0036139995282050