SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID

2004 ◽  
Vol 14 (06) ◽  
pp. 795-818 ◽  
Author(s):  
CHANGHAO LIN ◽  
LAWRENCE E. PAYNE
Keyword(s):  
Laminar Flow ◽  
Viscous Fluid ◽  
Channel Flow ◽  
Exponential Decay ◽  
Transient Flow ◽  
Incompressible Viscous Fluid ◽  
Spatial Decay ◽  
Decay Bounds ◽  
Channel Boundary ◽  
Entrance Velocity

In this paper, we study the transient flow of an incompressible viscous fluid in a semi-infinite channel assuming adherence at the channel boundary. We show that under appropriate restrictions on the data if the fluid is initially at rest and the channel entrance velocity and/or channel width are sufficiently small, the solution will tend exponentially to a transient laminar flow as the distance form the entry section tends to infinity. In fact explicit exponential decay bounds are obtained.

scholarly journals Spatial decay bounds for the channel flow of the Boussinesq equations

2011 ◽  
Vol 381 (1) ◽  
pp. 87-109 ◽  
Author(s):  
Yan Liu ◽  
Yuanfei Li ◽  
Yiwu Lin ◽  
Zhengan Yao
Keyword(s):  
Channel Flow ◽  
Boussinesq Equations ◽  
Spatial Decay ◽  
Decay Bounds

scholarly journals Velocity Distribution of Unsteady Laminar Flow for Viscous Fluid

1970 ◽  
Vol 29 ◽  
pp. 1-9
Author(s):  
MA Haque
Keyword(s):  
Laminar Flow ◽  
Differential Equations ◽  
Velocity Profile ◽  
Viscous Fluid ◽  
Pressure Gradient ◽  
Velocity Distribution ◽  
Poiseuille Flow ◽  
Incompressible Viscous Fluid ◽  
Time Varying ◽  
Separation Of Variable

In this paper an attempt has been made to investigate the velocity profile of unsteady laminar flow of incompressible viscous fluid. The method of separation of variable is used to determine the solutions of the governing differential equations. Time varying pressure gradient is considered for poiseuille flow. The velocity profiles for the various types of flow are shown by the figures. GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 29 (2009) 1-9  DOI: http://dx.doi.org/10.3329/ganit.v29i0.8510

scholarly journals Numerical Method in Two Dimensional Boundary Layer Theory for Incompressible Viscous Fluid

2013 ◽  
Vol 38 ◽  
pp. 61-73
Author(s):  
MA Haque
Keyword(s):  
Boundary Layer ◽  
Viscous Fluid ◽  
Initial Value Problem ◽  
Shooting Method ◽  
Boundary Layer Equation ◽  
Incompressible Viscous Fluid ◽  
Initial Value ◽  
Box Scheme ◽  
Runge Kutta Method ◽  
Dimensional Boundary

In this paper laminar flow of incompressible viscous fluid has been considered. Here two numerical methods for solving boundary layer equation have been discussed; (i) Keller Box scheme, (ii) Shooting Method. In Shooting Method, the boundary value problem has been converted into an equivalent initial value problem. Finally the Runge-Kutta method is used to solve the initial value problem. DOI: http://dx.doi.org/10.3329/rujs.v38i0.16549 Rajshahi University J. of Sci. 38, 61-73 (2010)

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