Axisymmetric Stagnation Flow of a Micropolar Fluid in a Moving Cylinder: An Analytical Solution
Abdul Rehman,
Saleem Iqbal,
Syed Mohsin Raza
Issue:
Volume 2, Issue 1, September 2016
Pages:
1-7
Received:
12 July 2016
Accepted:
22 July 2016
Published:
26 August 2016
DOI:
10.11648/j.fm.20160201.11
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Abstract: In this paper, we have presented the axisymmetric stagnation flow of a micropolar fluid in a moving cylinder. The governing equations of motion, microrotation and energy are simplified with the help of suitable similarity transformations. System of six nonlinear coupled differential equations has been solved analytically with the help of strong analytical tool known as homotopy analysis method. The physical features of various parameters have been discussed through graphs.
Abstract: In this paper, we have presented the axisymmetric stagnation flow of a micropolar fluid in a moving cylinder. The governing equations of motion, microrotation and energy are simplified with the help of suitable similarity transformations. System of six nonlinear coupled differential equations has been solved analytically with the help of strong ana...
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Thermal Instability in a Horizontal Layer of Ferrofluid Confined Within Hele-Shaw Cell
Issue:
Volume 2, Issue 1, September 2016
Pages:
8-12
Received:
26 September 2016
Accepted:
19 October 2016
Published:
2 November 2016
DOI:
10.11648/j.fm.20160201.12
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Abstract: Linear thermal instability analysis of a ferrofluid layer confined between in Hele-Shaw cell is investigated. The stability theory is based upon perturbation method and normal mode technique and the resulting equations are solved by using Galerkin weighted residuals method to find expressions for Rayleigh number and critical Rayleigh number. ‘Principle of Exchange of Stabilities’ hold and the oscillatory modes are not allowed in the problem. It is found that Hele-Shaw number delays the onset of convection while magnetization parameter and buoyancy magnetization parameter hasten the onset of convection.
Abstract: Linear thermal instability analysis of a ferrofluid layer confined between in Hele-Shaw cell is investigated. The stability theory is based upon perturbation method and normal mode technique and the resulting equations are solved by using Galerkin weighted residuals method to find expressions for Rayleigh number and critical Rayleigh number. ‘Princ...
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