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A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field

A theoretical analysis is presented for transient, fully-developed magnetohydrodynamic free and forced convection flow of a viscous, incompressible, Newtonian fluid in a rotating horizontal parallel-plate channel subjected to a uniform strength, static, oblique magnetic field acting at an angle  to...

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Main Authors: Marneni, Narahari, S.K., Ghosh, O., Anwar Bég
Format: Citation Index Journal
Published: 2013
Subjects:
QA Mathematics
TJ Mechanical engineering and machinery
TL Motor vehicles. Aeronautics. Astronautics
TP Chemical technology
Online Access:http://eprints.utp.edu.my/10875/1/JP%20-%20A%20study%20of%20unsteady%20rotating%20hydromagnetic%20free%20%20and%20forced%20convection%20in%20a%20channel%20subject%20to%20forced%20oscillation%20under%20an%20oblique%20magnetic%20field.pdf
http://eprints.utp.edu.my/10875/
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spelling my.utp.eprints.108752013-12-16T23:48:07Z A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field Marneni, Narahari S.K., Ghosh O., Anwar Bég QA Mathematics TJ Mechanical engineering and machinery TL Motor vehicles. Aeronautics. Astronautics TP Chemical technology A theoretical analysis is presented for transient, fully-developed magnetohydrodynamic free and forced convection flow of a viscous, incompressible, Newtonian fluid in a rotating horizontal parallel-plate channel subjected to a uniform strength, static, oblique magnetic field acting at an angle  to the positive direction of the axis of rotation. A constant pressure gradient is imposed along the longitudinal axis of the channel. Magnetic Reynolds number is sufficiently small to negate the effects of magnetic induction. The channel plates are electrically non-conducting. The conservation equations are formulated in an (x,y,z) coordinate system and normalized using appropriate transformations. The resulting non-dimensional coupled ordinary differential equations for primary and secondary velocity components and transformed boundary conditions are found to be reciprocal of the Ekman number (= 1/Ek), non-dimensional pressure gradient parameter (Px), Hartmann number (), Grashof number (Gr), magnetic field inclination () and oscillation frequency (). Complex variables are employed to solve the two-point boundary value problem. A steady state resonance of the velocity field is identified for . Furthermore the solutions indicate that the condition signifies an oscillatory turbulent dynamo mechanism. A critical Grashof number (Grcx) is also evaluated for which primary flow reversal arises at the upper channel plate. A similar criterion for Grashof number (Grcy) is established for the onset of secondary flow reversal at the upper plate. A detailed assessment of the influence of the control parameters on primary and secondary velocity evolution in the channel is also conducted. The model finds applications in MHD (Magneto Hydro Dynamic) energy generators and also magnetic materials processing systems. 2013-08 Citation Index Journal PeerReviewed application/pdf http://eprints.utp.edu.my/10875/1/JP%20-%20A%20study%20of%20unsteady%20rotating%20hydromagnetic%20free%20%20and%20forced%20convection%20in%20a%20channel%20subject%20to%20forced%20oscillation%20under%20an%20oblique%20magnetic%20field.pdf Marneni, Narahari and S.K., Ghosh and O., Anwar Bég (2013) A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field. [Citation Index Journal] http://eprints.utp.edu.my/10875/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic QA Mathematics
TJ Mechanical engineering and machinery
TL Motor vehicles. Aeronautics. Astronautics
TP Chemical technology
spellingShingle QA Mathematics
TJ Mechanical engineering and machinery
TL Motor vehicles. Aeronautics. Astronautics
TP Chemical technology
Marneni, Narahari
S.K., Ghosh
O., Anwar Bég
A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field
description A theoretical analysis is presented for transient, fully-developed magnetohydrodynamic free and forced convection flow of a viscous, incompressible, Newtonian fluid in a rotating horizontal parallel-plate channel subjected to a uniform strength, static, oblique magnetic field acting at an angle  to the positive direction of the axis of rotation. A constant pressure gradient is imposed along the longitudinal axis of the channel. Magnetic Reynolds number is sufficiently small to negate the effects of magnetic induction. The channel plates are electrically non-conducting. The conservation equations are formulated in an (x,y,z) coordinate system and normalized using appropriate transformations. The resulting non-dimensional coupled ordinary differential equations for primary and secondary velocity components and transformed boundary conditions are found to be reciprocal of the Ekman number (= 1/Ek), non-dimensional pressure gradient parameter (Px), Hartmann number (), Grashof number (Gr), magnetic field inclination () and oscillation frequency (). Complex variables are employed to solve the two-point boundary value problem. A steady state resonance of the velocity field is identified for . Furthermore the solutions indicate that the condition signifies an oscillatory turbulent dynamo mechanism. A critical Grashof number (Grcx) is also evaluated for which primary flow reversal arises at the upper channel plate. A similar criterion for Grashof number (Grcy) is established for the onset of secondary flow reversal at the upper plate. A detailed assessment of the influence of the control parameters on primary and secondary velocity evolution in the channel is also conducted. The model finds applications in MHD (Magneto Hydro Dynamic) energy generators and also magnetic materials processing systems.
format Citation Index Journal
author Marneni, Narahari
S.K., Ghosh
O., Anwar Bég
author_facet Marneni, Narahari
S.K., Ghosh
O., Anwar Bég
author_sort Marneni, Narahari
title A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field
title_short A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field
title_full A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field
title_fullStr A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field
title_full_unstemmed A Study of Unsteady Rotating Hydromagnetic Free and Forced Convection in a Channel Subject to Forced Oscillation under an Oblique Magnetic Field
title_sort study of unsteady rotating hydromagnetic free and forced convection in a channel subject to forced oscillation under an oblique magnetic field
publishDate 2013
url http://eprints.utp.edu.my/10875/1/JP%20-%20A%20study%20of%20unsteady%20rotating%20hydromagnetic%20free%20%20and%20forced%20convection%20in%20a%20channel%20subject%20to%20forced%20oscillation%20under%20an%20oblique%20magnetic%20field.pdf
http://eprints.utp.edu.my/10875/
_version_ 1738655905698807808
score 13.211869

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