Slip effects on squeezing flow of nanofluid between two parallel disks
In this study, the influence of temperature and wall slip conditions on the unsteady flow of a viscous, incompressible and electrically conducting nanofluid squeezed between two parallel disks in the presence of an applied magnetic field is investigated ...
K. Das, S. Jana, N. Acharya
doaj +1 more source
Hodographic study of plane micropolar fluid flows
Equations of steady flow of a plane micropolar fluid are transformed to the hodograph plane by means of the Legendre transform function of the streamfunction. Results are summarized in the form of a theorem, some flow problems are investigated as applications of this theorem and exact solutions and geometry of the flow are obtained in each case.
Indrasena Adluri
wiley +1 more source
On the unsteady flow of two visco‐elastic fluids between two inclined porous plates
This study is concerned with both hydrodynamic and hydromagnetic unsteady slow flows of two immiscible visco‐elastic fluids of Rivlin‐Ericksen type between two porous parallel nonconducting plates inclined at a certain angle to the horizontal. The exact solutions for the velocity fields, skin frictions, and the interface velocity distributions are ...
P. R. Sengupta, T. K. Ray, L. Debnath
wiley +1 more source
Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates [PDF]
Invariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the authors,
E. I. Kaptsov, V. A. Dorodnitsyn
doaj +1 more source
UNIQUENESS AND DECAY RESULTS FOR A BOUSSINESQUIAN NANOFLUID
In this paper a uniqueness theorem for classical solutions is proved in the case of the evolution of a nanofluid filling a bounded domain under the Boussinesq approximation.
A. Borrelli, G. Giantesio, M. C. Patria
semanticscholar +1 more source
Hodographic study of non‐Newtonian MHD aligned steady plane fluid flows
A study is made of non‐Newtonian HHD aligned steady plane fluid flows to find exact solutions for various flow configurations. The equations of motion have been transformed to the hodograph plane. A Legendre‐transform function is used to recast the equations in the hodograph plane in terms of this transform function.
P. V. Nguyen, O. P. Chandna
wiley +1 more source
Almost sure existence of global weak solutions for supercritical electron MHD [PDF]
We consider the Cauchy problem for the electron magnetohydrodynamics model in the supercritical regime. For rough initial data in $\mathcal H^{-s}(\mathbb T^n)$ with $s>0$, we obtain global in time weak solutions almost surely via an appropriate randomization of the initial data.
arxiv
Magnetohydrodynamic channel flow and variational principles
This paper deals with magnetohydrodynamic channel flow problems. Attention is given to a variational principle where the boundary conditions are incorporated via a suitable functional which is stationary at the solution of the given problem; the trial functions used for the approximate solution need not satisfy any of the given boundary conditions.
Adnan A. El-Hajj
wiley +1 more source
A single exponential BKM type estimate for the 3D incompressible ideal MHD equations
In this paper, we give a Beale-Kato-Majda type criterion of strong solutions to the incompressible ideal MHD equations. Instead of double exponential estimates, we get a single exponential bound on ∥(u,h)∥Hs (s>52).
Jianli Liu, Fenglun Wei, K. Pan
semanticscholar +2 more sources
Almost sure well-posedness for Hall MHD [PDF]
We consider the magnetohydrodynamics system with Hall effect accompanied with initial data in supercritical Sobolev space. Via an appropriate randomization of the supercritical initial data, both local and small data global well-posedness for the system are obtained almost surely in critical Sobolev space.
arxiv