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On a Problem of Nonstationary 2D Motion of Micropolar Fluid in the Half-plane Subjected to a Uniform Magnetic Field when Normal Stresses and Tangential Velocities are Given on the Boundary
-
S. M. Abo-Dahab
and
Ibrahim H. El-Sirafy
Published/Copyright:
November 1, 2013
Abstract
In this paper, an attempt is made to obtain the effect of a uniform magnetic field on the solution of non-stationary motion of micropolar fluid in the half-plane when the normal stresses and tangential velocities are given on the boundary. The Laplace-Fourier transform technique is used to point out the solution by quadratures. Numerical results of the physical quantities such as tangential and normal velocities, pressure, microrotation, stresses and momentums included the influence of a uniform magnetic field are obtained and displayed graphically. The problem could be met in the study of the vibrations of a memberance or a plane contacting with the micropolar fluid.
Keywords: micropolar fluid; nonstationary motion; magnetic field; 2D motion; Laplace-Fourier transform; Mathcad program
Received: 2011-6-8
Accepted: 2013-9-26
Published Online: 2013-11-1
Published in Print: 2013-12-16
©[2013] by Walter de Gruyter Berlin Boston
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Keywords for this article
micropolar fluid;
nonstationary motion;
magnetic field;
2D motion;
Laplace-Fourier transform;
Mathcad program
Articles in the same Issue
- Masthead
- A New Model for Plastic-Viscoelastic Magnetohydrodynamic (MHD) Flow with Radiation Thermal Transfer
- New Exact Solutions for an Oldroyd-B Fluid with Fractional Derivatives: Stokes' First Problem
- A Modified Variational Iteration Method for Nonlinear Oscillators
- Behavioral Modeling of SNFS for Synthesizing Multi-Scroll Chaotic Attractors
- Solving a System of Linear and Nonlinear Fractional Partial Differential Equations Using Homotopy Perturbation Method
- On a Problem of Nonstationary 2D Motion of Micropolar Fluid in the Half-plane Subjected to a Uniform Magnetic Field when Normal Stresses and Tangential Velocities are Given on the Boundary
- Non-equilibrium Shock Structure Calculation with High-order Modified Navier–Stokes Equations
- A New Coupled Fractional Reduced Differential Transform Method for Solving Time Fractional Coupled KdV Equations
- A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product
- Control Volume Based Finite Element Method Study of Nano-fluid Natural Convection Heat Transfer in an Enclosure Between a Circular and a Sinusoidal Cylinder
- Hybrid Modulus-phase Synchronization of Hyperchaotic Complex Systems and its Application to Secure Communication
