Finite element solution of micropolar fluid flow from an enclosed rotating disc with suction and injection

This paper represents steady two-dimensional boundary layer flow of micropolar fluid flow with impact of convective heat transfer and buoyancy force investigated numerically. The shrinking velocity has been expected to fluctuate linearly with the existence of a fixed point on the sheet. With the assistance of similarity transformations, the governing partial differential equations are transformed into a set of nonlinear ordinary differential equations; these nonlinear ODEs are solved numerically by using the variational finite element method. The current numerical results are obtained from the variational finite element method and compared with the previously published literature work, with which it exists in good agreement. The impact of the flow monitoring parameters on velocity, microrotation and temperature profiles is examined graphically and discussed. The skin friction coefficient and Nusselt numbers are impacts from adjusting various values of the physical parameters and relevant features which are studied.

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Finite Element Solution of Mixed Convection on a Moving Vertical Cylinder with Suction in a Moving Micropolar Fluid Medium

Meccanica ◽

10.1007/s11012-005-8867-8 ◽

2006 ◽

Vol 41 (1) ◽

pp. 63-78 ◽

Cited By ~ 1

Author(s):

Lokendra Kumar ◽

Rama Bhargava ◽

H. S. Takhar

Keyword(s):

Finite Element ◽

Mixed Convection ◽

Micropolar Fluid ◽

Vertical Cylinder ◽

Finite Element Solution ◽

Element Solution ◽

Fluid Medium

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FINITE ELEMENT SIMULATION OF MICROPOLAR FLUID FLOW IN THE LID-DRIVEN SQUARE CAVITY

International Journal of Applied Mechanics ◽

10.1142/s1758825113500452 ◽

2013 ◽

Vol 05 (04) ◽

pp. 1350045 ◽

Cited By ~ 4

Author(s):

H. ASADI ◽

K. JAVAHERDEH ◽

S. RAMEZANI

Keyword(s):

Finite Element ◽

Fluid Flow ◽

Analytical Solution ◽

Excellent Agreement ◽

Micropolar Fluid ◽

Flow Characteristics ◽

Element Formulation ◽

Square Cavity ◽

Micropolar Fluid Flow ◽

Fluid Theory

The micropolar fluid theory augments the laws of classical continuum mechanics by incorporating the effects of fluid molecules on the continuum. So, the micropolar theory has been able to explain many phenomena at micro and nano scales. In this paper, a finite element formulation for the numerical analysis of micropolar laminar fluid flow is developed. In order to validate the results of the FE formulation, analytical solution of the Poiseuille flow of micropolar fluid in a microchannel is presented, and an excellent agreement between the results of the analytical solution and those of the FE formulation is observed. It is shown that the micropolar viscosity and the length scale parameter have significant roles on changing the flow characteristics. Then, the behavior of an incompressible viscous fluid flow in a lid-driven square cavity is investigated. The obtained results are compared to the results reported in the literature, and an excellent agreement is observed.

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