Journal ArticleDOI
Effects of the side walls on unsteady flow of a second grade fluid over a plane wall
M.E. Erdoğan,C.E. İmrak +1 more
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In this paper, the effects of the side walls on unsteady flow of a second grade fluid over a plan wall are considered and the solution of the governing equation for velocity is obtained by the sine transform method.Abstract:
The effects of the side walls on unsteady flow of a second grade fluid over a plan wall are considered. The solution of the governing equation for velocity is obtained by the sine transform method. This gives a correct result for the shear stress at the bottom wall. The shear stress at the bottom wall is minimum at the middle of the plate and it increases near the side walls. It is shown that the mean thickness of the layer of the liquid over the plate increases with time and the ratio of the mean thickness to the distance between the side walls becomes ultimately 0.2714.read more
Citations
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Some unsteady flows of a second grade fluid over a plane wall
Yuedong Yao,Yanhua Liu +1 more
TL;DR: In this article, the effects of the side walls on unsteady flow of a second grade fluid over a plane wall are considered, and the starting solution for the flow of the oscillating plate can be presented as the sum of the steady state and the transient solutions.
Journal ArticleDOI
Soret–Dufour effects on three-dimensional flow of third grade fluid
TL;DR: In this paper, the effects of heat and mass transfer on flow of third grade fluid between two heated porous sheets are considered, and series solutions for the velocity, temperature and concentration fields are developed.
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Poiseuille Flow of a Third Grade Fluid in a Porous Medium
TL;DR: In this paper, the effects of porous medium on the steady flow of a third grade fluid between two stationary porous plates were investigated and the continuity and momentum equations along with modified Darcy's law were used for the development of mathematical problem.
Journal ArticleDOI
On the comparison of the solutions obtained by using two different transform methods for the second problem of Stokes for Newtonian fluids
M. Emin Erdoğan,C. Erdem İmrak +1 more
TL;DR: In this article, the Laplace transform method or Fourier transform method is applied to the governing equation of the unsteady flow over a plane wall which is initially at rest and the plate begins suddenly to oscillate in own plane.
Journal ArticleDOI
Stokes' first problem for micropolar fluids
TL;DR: In this article, the local balance equations according to Eringen's model are non-dimensionalized and solved in the Laplace transform domain for velocity and microrotation in a quiescent micropolar fluid by a doubly infinite plate accelerated suddenly from rest to a constant velocity.
References
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Book
Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Book
An Introduction to Fluid Dynamics
TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Journal ArticleDOI
An Introduction to Fluid Dynamics. By G. K. Batchelor. Pp. 615. 75s. (Cambridge.)
TL;DR: In this paper, the Navier-Stokes equation is derived for an inviscid fluid, and a finite difference method is proposed to solve the Euler's equations for a fluid flow in 3D space.
Journal ArticleDOI
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
J. Ernest Dunn,Roger Fosdick +1 more
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Fluids of differential type: Critical review and thermodynamic analysis
TL;DR: In this paper, the authors provide an extended analysis of the genesis and development of fluids of differential type, and show that certain ideas of flow retardation and model approximation have been consistently misinterpreted.