MHD orthogonal stagnation-point flow of a micropolar fluid with the magnetic field parallel to the velocity at infinity

2015 ◽  
Vol 264 ◽  
pp. 44-60 ◽  
Author(s):  
Alessandra Borrelli ◽  
Giulia Giantesio ◽  
Maria Cristina Patria
Keyword(s):  
Magnetic Field ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Stagnation Point Flow ◽  
Field Parallel ◽  
The Magnetic Field

scholarly journals MHD Stagnation Point Flow of Nanofluid on a Plate with Anisotropic Slip

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 132 ◽  
Author(s):  
Muhammad Sadiq
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Stagnation Point ◽  
Three Dimensional ◽  
Stagnation Point Flow ◽  
Three Dimensional Flow ◽  
Moving Plate ◽  
Physical Quantities ◽  
The Magnetic Field ◽  
Momentum Boundary Layer

In this article, an axisymmetric three-dimensional stagnation point flow of a nanofluid on a moving plate with different slip constants in two orthogonal directions in the presence of uniform magnetic field has been considered. The magnetic field is considered along the axis of the stagnation point flow. The governing Naiver–Stokes equation, along with the equations of nanofluid for three-dimensional flow, are modified using similarity transform, and reduced nonlinear coupled ordinary differential equations are solved numerically. It is observed that magnetic field M and slip parameter λ 1 increase the velocity and decrease the boundary layer thickness near the stagnation point. Also, a thermal boundary layer is achieved earlier than the momentum boundary layer, with the increase in thermophoresis parameter N t and Brownian motion parameter N b . Important physical quantities, such as skin friction, and Nusselt and Sherwood numbers, are also computed and discussed through graphs and tables.

Effect of temperature on the MHD stagnation-point flow past an isothermal plate for a Boussinesquian Newtonian and micropolar fluid

2018 ◽  
Vol 28 (6) ◽  
pp. 1315-1334 ◽  
Author(s):  
Alessandra Borrelli ◽  
Giulia Giantesio ◽  
Maria Cristina Patria
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Stagnation Point Flow ◽  
Content Type ◽  
Environment Temperature ◽  
Uniform External Magnetic Field

Purpose This paper aims to analyze the steady two-dimensional stagnation-point flow of an electrically conducting Newtonian or micropolar fluid when the obstacle is uniformly heated. Design/methodology/approach The governing boundary layer equations are transformed into a system of ordinary differential equations using appropriate similarity transformations. Some analytical considerations about existence and uniqueness of the solution are obtained. The system is then solved numerically using the bvp4c function in MATLAB. Findings If the temperature of the obstacle Tw coincides with the environment temperature T0, then the motion reduces to the usual orthogonal stagnation-point flow; if Tw = T0, then it is necessary to include in the similarity function describing the velocity an oblique part due to the temperature. Also, the presence of a uniform external magnetic field orthogonal to the obstacle is examined. In all cases, the motion is reduced to a system of nonlinear ordinary differential equations with boundary conditions, whose solution is discussed numerically when the Prandtl and the Hartmann number varies. Originality/value The present results are original and new for the problem of magnetohydrodynamic mixed convection in the plane stagnation-point flow of a Newtonian or a micropolar fluid over a vertical flat plate. At infinity, the motion approaches the orthogonal stagnation-point flow of an inviscid fluid; the effect of an uniform external magnetic field is considered, and the obstacle has a uniform temperature.

Momentum and Heat Transfer in MHD Stagnation-Point Flow Over a Shrinking Sheet

2010 ◽  
Vol 78 (2) ◽  
Author(s):  
T. Ray Mahapatra ◽  
S. K. Nandy ◽  
A. S. Gupta
Keyword(s):  
Magnetic Field ◽  
Stagnation Point ◽  
Magnetic Parameter ◽  
Reverse Flow ◽  
Stagnation Point Flow ◽  
Shrinking Sheet ◽  
Electrically Conducting ◽  
Momentum And Heat Transfer ◽  
The Magnetic Field ◽  
Component Parallel

The steady two-dimensional magnetohydrodynamic (MHD) stagnation-point flow of an electrically conducting incompressible viscous fluid toward a shrinking sheet is investigated. The sheet is shrunk in its own plane with a velocity proportional to the distance from the stagnation-point and a uniform magnetic field is applied normal to the sheet. Velocity component parallel to the sheet is found to increase with an increase in the magnetic field parameter M. A region of reverse flow occurs near the surface of the shrinking sheet. It is shown that as M increases, the tendency of this flow reversal decreases. It is also observed that the nonalignment of the stagnation-point flow and the shrinking sheet considerably complicates the flow structure. The effect of the magnetic parameter M on the streamlines is shown for both aligned and nonaligned cases. The temperature distribution in the boundary layer is found when the surface is held at constant temperature. The analysis reveals that the temperature at a point increases with increasing M in a certain neighborhood of the surface but beyond this, the temperature decreases with increasing M. For fixed M, the surface heat flux decreases with increase in the shrinking rate.

scholarly journals Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Rakesh Kumar ◽  
Shilpa Sood
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Stagnation Point ◽  
Stagnation Point Flow ◽  
Shrinking Sheet ◽  
Nonlinear Convection ◽  
Keller Box Method ◽  
Reduced Equations ◽  
Dimensional Boundary ◽  
The Magnetic Field

The steady two-dimensional boundary layer stagnation point flow due to a shrinking sheet is analyzed. The combined effects of magnetic field and nonlinear convection are taken into account. The governing equations for the flow are modeled and then simplified using the similarity transformation and boundary layer approach. The numerical solution of the reduced equations is obtained by the second-order finite difference scheme also known as Keller box method. The influence of the pertinent parameters of the problem on velocity and temperature profiles, skin friction, and sheet temperature gradient are presented through the graphs and tables and discussed. The magnetic field and nonlinear convection parameters significantly enhance the solution range.

scholarly journals A Numerical Approach to Slip Flow of a Micropolar Fluid above A Flat Permeable Contracting Surface

2021 ◽  
Vol 26 (2) ◽  
pp. 173-185
Author(s):  
R. Parthiban ◽  
G. Palani ◽  
Seema Tinker ◽  
R. P. Sharma
Keyword(s):  
Mathematical Modeling ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Couple Stress ◽  
Slip Flow ◽  
Numerical Approach ◽  
Numerical Results ◽  
Polar Liquid ◽  
Stagnation Point Flow ◽  
Physical Quantities

Abstract A plain linear penetrable contracting sheet with slip over a micro-polar liquid with a stagnation-point flow is analyzed. Through similarity mapping, the mathematical modeling statements are transformed as ODE’s and numerical results are found by shooting techniques. The varying impacts of physical quantities on the momentum, micro-rotation, and temperature were demonstrated through graphs. The computed measures including shear and couple stress with distinct measures of factors involved in this proposed problem are presented through a table.

scholarly journals Влияние параллельного слоям магнитного поля на фототок в GaAs/AlAs p-i-n-структурах

2022 ◽  
Vol 56 (1) ◽  
pp. 107
Author(s):  
И.А. Ларкин ◽  
Ю.Н. Ханин ◽  
Е.Е. Вдовин
Keyword(s):  
Magnetic Field ◽  
Wavelength Range ◽  
Strong Dependence ◽  
Diffusion Current ◽  
Radiation Wavelength ◽  
Quantization Level ◽  
Dimensional Quantization ◽  
Field Parallel ◽  
The Magnetic Field

The behavior of the photocurrent in GaAs / AlAs p-i-n heterostructures is studied in a magnetic field parallel to the heterolayers in the wavelength range from 395 to 650 nm. A strong dependence of the non-oscillating component of the photocurrent on the radiation wavelength associated with the suppression of the diffusion current by the magnetic field was found. It is shown that the behavior of the oscillating component of the photocurrent in a magnetic field does not depend on the wavelength of light and is determined by the transfer of electrons through the dimensional quantization level in a triangular near-barrier well. It is shown that the suppression of the oscillating component by the magnetic field is due to the smearing of the level in the triangular well due to the motion of electrons parallel to the walls of the well and perpendicular to the magnetic field.

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