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2001 (1)
1993 (1)
1Author    K. D. Singh, Rakesh SharmaRequires cookie*
 Title    Three-dimensional Flow between Two Parallel Porous Plates with Heat Transfer  
 Abstract    A theoretical analysis of the steady three-dimensional flow of a viscous, incompressible fluid between two parallel infinite porous horizontal plates is presented. The fluid is injected with constant velocity through the lower stationary plate and removed with a transverse sinusoidal suction velocity through the upper one in uniform horizontal motion. A series solution of the non-linear partial differential equations is obtained and discussed. 
  Reference    Z. Naturforsch. 56a, 596—600 (2001) 
  Published    2001 
  Keywords    Three-dimensional, Couette Flow, Transverse, Sinusoidal, Injection/Suction 
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 TEI-XML for    default:Reihe_A/56/ZNA-2001-56a-0596.pdf 
 Identifier    ZNA-2001-56a-0596 
 Volume    56 
2Author    Georg Knorr, Gerhard Ströhmer, ChristophK. Goertz, DwightR. Nicholson, Linhua Shan, RobertA. SmithRequires cookie*
 Title    Hilbert Space Methods in Hydrodynamics with Applications to Couette Flow  
 Abstract    , 1993 This paper is dedicated to the memory of our friends and colleagues, who were tragically slain on November 1, 1991 A new base for three-dimensional divergence-free vector fields in Hilbert space (Galerkin method) is proposed. The base fields have vanishing boundary conditions for their curl and are useful to solve the incompressible Navier-Stokes equation. The base vector potentials are obtained as the eigensolutions of the squared Laplace operator. We first derive the operator in a simply connected domain and then study Couette flow in the small gap approximation. The method yields a rapidly converging critical Taylor number and in lowest approximation a three mode model for the Taylor vortices, similar to the Lorenz model. It represents the first bifurcation of the flow very well. 
  Reference    Z. Naturforsch. 48a, 679—691 (1993); received February 17 
  Published    1993 
  Keywords    Hydrodynamics, Eigenvector field, Self-adjoint operator, Couette flow, Taylor vortices 
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 TEI-XML for    default:Reihe_A/48/ZNA-1993-48a-0679.pdf 
 Identifier    ZNA-1993-48a-0679 
 Volume    48