Effects of Brinkman number on thermal-driven convective spherical Dynamos

Brinkman number effects on the thermal-driven convective spherical dynamos are studied analytically. The high temperature of the Earth’s inner core boundary is usually conducted by the viscous, electrically conducting fluid of the outer core to the core mantle boundary as the Earth cools. The proble...

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Main Authors: MI Ngwueke, TM Abbey
Format: Article
Language:English
Published: Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) 2013-07-01
Series:Journal of Applied Sciences and Environmental Management
Online Access:https://www.Ajol.Info/index.php/jasem/article/view/90481
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author MI Ngwueke
TM Abbey
author_facet MI Ngwueke
TM Abbey
author_sort MI Ngwueke
collection DOAJ
description Brinkman number effects on the thermal-driven convective spherical dynamos are studied analytically. The high temperature of the Earth’s inner core boundary is usually conducted by the viscous, electrically conducting fluid of the outer core to the core mantle boundary as the Earth cools. The problem considers conducting fluid motion in a rapidly rotating spherical shell. The consequence of this exponential dependence of viscosity on temperature is considered to be a thermaldriven convective phenomenon. A set of constitutive non-linear equations were then formulated in which the solutions for the flow variables were obtained by perturbation technique. The results illustrate enhancement of dynamo actions, demonstrating that magnetic field generation with time is possible. Moreover, the increased magnetic Prandtl number Pm with high Brinkman number shows dynamo actions for fixed Rayleigh and Taylor number values. The overall analyses succour our understanding of Earth’s magnetic field generation mechanism often envisaged in the Earth’s planetary interior.
format Article
id doaj-art-2b40097e28d644168fd80ddba3c4665f
institution Kabale University
issn 2659-1502
2659-1499
language English
publishDate 2013-07-01
publisher Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)
record_format Article
series Journal of Applied Sciences and Environmental Management
spelling doaj-art-2b40097e28d644168fd80ddba3c4665f2025-02-08T19:52:11ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992013-07-01171Effects of Brinkman number on thermal-driven convective spherical DynamosMI NgwuekeTM AbbeyBrinkman number effects on the thermal-driven convective spherical dynamos are studied analytically. The high temperature of the Earth’s inner core boundary is usually conducted by the viscous, electrically conducting fluid of the outer core to the core mantle boundary as the Earth cools. The problem considers conducting fluid motion in a rapidly rotating spherical shell. The consequence of this exponential dependence of viscosity on temperature is considered to be a thermaldriven convective phenomenon. A set of constitutive non-linear equations were then formulated in which the solutions for the flow variables were obtained by perturbation technique. The results illustrate enhancement of dynamo actions, demonstrating that magnetic field generation with time is possible. Moreover, the increased magnetic Prandtl number Pm with high Brinkman number shows dynamo actions for fixed Rayleigh and Taylor number values. The overall analyses succour our understanding of Earth’s magnetic field generation mechanism often envisaged in the Earth’s planetary interior.https://www.Ajol.Info/index.php/jasem/article/view/90481
spellingShingle MI Ngwueke
TM Abbey
Effects of Brinkman number on thermal-driven convective spherical Dynamos
Journal of Applied Sciences and Environmental Management
title Effects of Brinkman number on thermal-driven convective spherical Dynamos
title_full Effects of Brinkman number on thermal-driven convective spherical Dynamos
title_fullStr Effects of Brinkman number on thermal-driven convective spherical Dynamos
title_full_unstemmed Effects of Brinkman number on thermal-driven convective spherical Dynamos
title_short Effects of Brinkman number on thermal-driven convective spherical Dynamos
title_sort effects of brinkman number on thermal driven convective spherical dynamos
url https://www.Ajol.Info/index.php/jasem/article/view/90481
work_keys_str_mv AT mingwueke effectsofbrinkmannumberonthermaldrivenconvectivesphericaldynamos
AT tmabbey effectsofbrinkmannumberonthermaldrivenconvectivesphericaldynamos