Effects of heat and mass transfer on nonlinear magneto-hydrodynamic boundary layer flow of rheological damper fluid through annular duct

Abstract

An analysis is carried out to study the effects of heat and mass transfer on magneto-the hydrodynamic boundary layer flow through an annular duct in the presence of magnetic field and viscous dissipation of rheological fluid. The fluid is assumed to be electrically conducted and the damper piston moves with a constant velocity; magneto-rheological fluid field dependant characteristics and their thickening effects are defined by a modified Herschel-Bulkley visco-plasticity model. A magnetic field is applied transversely to the direction of flow. A numerical solution for the steady visco-plastic (magneto-dynamic) laminar boundary layer flow through the duct of the damper in the presence of damper fluid (species) concentration and mass diffusion through the annular duct of controllable fluid damper has been obtained by transforming the governing equations to nonlinear ordinary differential equations through similarity transformations. Numerical calculations up to a third level of truncations are carried out for different values of dimensionless parameters of the problem under consideration. An analysis of the results obtained shows that the flow field is influenced appreciably by the strength of the magnetic field and this rheological metamorphism of the controllable fluid, under the influence of magnetic field is exothermic. The experimental investigations are conducted under controlled conditions to validate the analytical work.

Keywords

Base isolation controllable fluid damper Eckert number magneto rheological fluid Schmidt reaction

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References

Devi

(2002) Effect of chemical reaction, heat and mass transfer on non-linear MHD laminar boundary layer flow over a wedge with suction or injection. International Communications in Heat and Mass Transfer 29(5): 707–716.

Chambre

Acrivos

(1956) Catalytic surface reactions in hydrodynamic flow. Journal of Applied Physics 27: 1322–1334.

Chamkha

Khaled

ARA

(2001) Similarity solutions for hydrodynamic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption. Heat Mass Transfer 37: 117–123.

Chen

(2004) Combined heat and mass transfer in MHD free convection from vertical surface with Ohmic heating and viscous dissipation. International Journal of Engineering Science 42: 699–713.

Dyke SJ, Yi F and Caicdo JM (1999) Seismic response control using smart dampers. In Proceedings of American Control Conference, California, CA, 2–4 June, vol 2, pp. 1022–1026.

El-Hakiem

Mohammadien

El-Kabeir

SMM

Gorla

RSR

(1999) Joulheating effects on magneto hydrodynamic free convection flow of a micro polar fluid. International Communications Heat Mass Transfer 26: 219–227.

Gebhart

Jaluria

Mahajan

Sammakia

(1998) Buoyancy-induced Flow and Transport. New York: Hemi sphere.

Hossian

(1992) Viscous and joule heating effects on MHD free convection flow with variable plate temperature. International Journal of Heat Mass Transfer 35: 3485–3487.

Kafoussias

Nanousis

(1997) Magnetohydrodynamic laminar boundary layer flow over a wedge with suction or injection. Canadian Journal of Physics 75: 733–745.

10.

Schlichting H (1979) Boundary Layer Theory, translated by Kestin. J., New York: McGraw-Hill.

11.

Sureshbabu S, Govindasamy T and Shyamala G (2066) Assessing and reducing earthquake impacts, INDEX infrastructure development on expansive soils held at Erode, November 2006. Proc of INDEX. pp. 492–502.

12.

Watanabe

(1990) Thermal boundary layer over a wedge with uniform suction or injection in forced flow. Acta Mechanica 83: 119–126.

13.

Yih

(1998a) Uniform suction/blowing effects on forced convection about a wedge. Acta Mechanica 128: 173–181.

14.

Yih

(1998b) Heat source/sink effect on MHD mixed convection in stagnation flow on a vertical permeable plate in porous media. International Communications in Heat and Mass Transfer 25(3): 427–442.