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Using the generalised set of fluid equations that include the `Coriolis force' along with the centrifugal and pressure gradient forces, we have reanalysed the class of self similar solutions, with the pseudo-Newtonian potential. We find…

Astrophysics · Physics 2009-11-06 A. R. Prasanna , Banibrata Mukhopadhyay

Turbulent flows over wavy surfaces give rise to the formation of ripples, dunes and other natural bedforms. To predict how much sediment these flows transport, research has focused mainly on basal shear stress, which peaks upstream of the…

Fluid Dynamics · Physics 2021-05-17 P. Claudin , M. Louge , B. Andreotti

A numerical study of the problem of laminar infinite flow of viscous incompressible fluid around a rotating circular cylinder at Reynolds number $ 50 \le {\rm Re} \le 500 $ and dimensionless rotation rate $ 0 \le \alpha \le 7 $ has been…

Fluid Dynamics · Physics 2013-12-11 E. I. Kalinin , A. B. Mazo

We develop direct inversion methods for inferring the rheology of a fluid from observations of its shallow flow. First, the evolution equation for the free-surface flow of an inertia-less current with general constitutive law is derived.…

Fluid Dynamics · Physics 2022-03-14 Edward M. Hinton

The exact analytic solution is built for the plane flow of incompressible fluid through the wheel with profiles of blades approximating logarithmic spirals.

Fluid Dynamics · Physics 2008-09-25 Igor A. Tanski

Pattern formation in Rayleigh-Benard convection in a large-aspect-ratio cylinder with a radial ramp in the plate separation is studied analytically and numerically by performing numerical simulations of the Boussinesq equations. A…

Pattern Formation and Solitons · Physics 2009-11-07 M. R. Paul , M. C. Cross , P. F. Fischer

We have explored here the case of three-dimensional non-stationary flows of helical type for the incompressible couple stress fluid with given Bernoulli-function in the whole space (the Cauchy problem). In our presentation, the case of…

A nontrivial smooth steady incompressible Euler flow in three dimensions with compact support is constructed. Another uncommon property of this solution is the dependence between the Bernoulli function and the pressure.

Differential Geometry · Mathematics 2018-10-19 A. V. Gavrilov

We consider classical fluids in non-relativistic framework. The flow is considered to be barotropic, inviscid and rotational. We study the linear perturbations over a steady state background flow. We find the acoustic metric from the…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Satadal Datta , Arpan Krishna Mitra

A method for estimating the base pressure in bluff body flows is proposed. The estimation uses the velocity at the separation edge with the Bernoulli equation to compute the base pressure. The assumption is that this is the base pressure…

Fluid Dynamics · Physics 2020-07-21 Benjamin Bock

We consider the stationary flow of an inviscid and incompressible fluid of constant density in the region $D=(0, L)\times \mathbb{R}^2$. We are concerned with flows that are periodic in the second and third variables and that have…

Analysis of PDEs · Mathematics 2018-12-27 Boris Buffoni , Erik Wahlén

We present the method for computation of fluid flows that are characterized by the large degree of expansion/contraction and in which the fluid velocity is dominated by the bulk component associated with the expansion/contraction and/or…

Astrophysics · Physics 2015-06-24 A. Y. Poludnenko , A. M. Khokhlov

With the aim of providing a first step in the quest for a reduction of the aerodynamic drag on the rear-end of a car, we study the phenomena of separation and reattachment of an incompressible flow focusing on a specific aerodynamic…

Fluid Dynamics · Physics 2019-02-28 Marco Martins Afonso , Philippe Meliga , Eric Serre

This paper is devoted to the investigation of the monotonicity of parabolic frequency functional under conformal Ricci flow defined on a closed Riemannian manifold of constant scalar curvature and dimension not less than 3. Parabolic…

Analysis of PDEs · Mathematics 2024-01-09 Abimbola Abolarinwa , Shahroud Azami

For a massless fluid (density = 0), the steady flow along a duct is governed exclusively by viscous losses. In this paper, we show that the velocity profile obtained in this limit can be used to calculate the pressure drop up to the first…

Classical Physics · Physics 2008-09-09 Jordi Armengol , Josep Calbo , Toni Pujol , Pere Roura

We analyze the Navier Stokes equation, and show that all non-viscous, irrotational flows are barotropic. As far as we know, this has never been stated in the literature before, and indirectly suggests that vorticity is required to make…

Fluid Dynamics · Physics 2021-08-16 Steven Nerney , Edward G. Nerney

We consider a family of steady free-surface flow problems in two dimensions, concentrating on the effect of nonlinearity on the train of gravity waves that appear downstream of a disturbance. By exploiting standard complex variable…

Fluid Dynamics · Physics 2018-03-14 Ravindra Pethiyagoda , Timothy J. Moroney , Scott W. McCue

The planar laminar flow resulting from the impingement of two gaseous jets of different density issuing into an open space from aligned steadily fed slot nozzles of semi-width $R$ separated a distance $2H$ is investigated by numerical and…

Fluid Dynamics · Physics 2022-02-15 A. D. Weiss , W. Coenen. A. L. Sánchez

The complete flow field surrounding a rotating cylinder is calculated by solving the Navier-Stokes equations using the finite difference method. The numerical simulation is performed on a transformed rectilinear grid, with axes representing…

Computational Physics · Physics 2018-10-25 Alan Hsu , Fei Liu

The lattice Boltzmann method with enhanced collisions and rest particles is used to calculate the flow in a two-dimensional lid-driven cavity. The abilitity of this method to compute the velocity and the pressure of an incompressible fluid…

comp-gas · Physics 2009-10-22 W. Miller
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