Results 1 to 10 of about 37 (36)

Non-stationary Navier–Stokes equations in 2D power cusp domain

open access: yesAdvances in Nonlinear Analysis, 2021
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. We consider the case where the boundary value has a nonzero flux over the boundary.
Pileckas Konstantin, Raciene Alicija
doaj   +2 more sources

Scaling invariance theory and numerical transformation method: A unifying framework

open access: yesApplications in Engineering Science, 2020
In a transformation method, the numerical solution of a given boundary value problem is obtained by solving one or more related initial value problems. Therefore, a transformation method, like a shooting method, is an initial value method.
Riccardo Fazio
doaj   +1 more source

Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 4, Page 271-292, 2004., 2004
The present work is concerned with unsteady free convection flow of an incompressible electrically conducting micropolar fluid, bounded by an infinite vertical plane surface of constant temperature. A uniform magnetic field acts perpendicularly to the plane.
Magdy A. Ezzat
wiley   +1 more source

Finite difference solution of radiation effects on MHD unsteady free‐convection flow over vertical plate with variable surface temperature

open access: yesJournal of Applied Mathematics, Volume 2003, Issue 2, Page 65-86, 2003., 2003
An analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free‐convection flow past a semi‐infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite‐difference method. A
M. A. Abd El-Naby   +2 more
wiley   +1 more source

Radiation effect on MHD free‐convection flow of a gas at a stretching surface with a uniform free stream

open access: yesJournal of Applied Mathematics, Volume 2, Issue 2, Page 93-103, 2002., 2002
We investigate the problem of free convection heat transfer near an isothermal stretching sheet. This has been done under the simultaneous action of buoyancy, radiation, and transverse magnetic field. The governing equations are solved by the shooting method.
Ahmed Y. Ghaly, Elsayed M. E. Elbarbary
wiley   +1 more source

The effect of Coriolis force on nonlinear convection in a porous medium

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 515-536, 1994., 1994
Nonlinear convection in a porous medium and rotating about vertical axis is studied in this paper. An upper bound to the heat flux is calculated by the method initiated first by Howard [6] for the case of infinite Prandtl number. For Ta ≪ 0(1), the rotational effect is not significant.
D. H. Riahi
wiley   +1 more source

Darcy‐Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 789-794, 1992., 1991
The Darcy‐Brinkman free convection near a wedge and a cone in a porous medium with high porosity has been considered. The surfaces are subjected to a mixed thermal boundary condition characterized by a parameter m; m = 0, 1, ∞ correspond to the cases of prescribed temperature, prescribed heat flux and prescribed heat transfer coefficient respectively ...
G. Ramanaiah, V. Kumaran
wiley   +1 more source

Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain

open access: yesAdvances in Nonlinear Analysis, 2017
In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain.
Jung Chang-Yeol   +2 more
doaj   +1 more source

Shear flow past a flat plate in hydromagnetics

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 521-534, 1980., 1979
The problem of simple shear flow past a flat plate has been extended to the hydromagnetic case in which a viscous, electrically conducting, incompressible fluid flows past an electrically insulated flat plate with a magnetic field parallel to the plate. For simplicity all physical parameters are assumed constant.
S. R. N. Sastry
wiley   +1 more source

Global inviscid limit of 2D, stationary Navier-Stokes and stability of Prandtl expansions

open access: yesForum of Mathematics, Pi
In this work, we establish the convergence of 2D, stationary Navier-Stokes flows with viscosity $\varepsilon> 0$ , $(u^\varepsilon , v^\varepsilon )$ to the classical Prandtl boundary layer, $(\bar {u}_p, \bar {v}_p)$ , posed on the ...
Sameer Iyer, Nader Masmoudi
doaj   +1 more source

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