Figures 12-13 we have seen that as the couple stressparameter s increases both the velocities v and C areincreasing. But the effect <strong>of</strong> s on the values <strong>of</strong> v isnot very significant. i.e., the variation in the values<strong>of</strong> s does not result in much variation in the values v.Figures 14–16 show the variation the coefficient <strong>of</strong>skin friction C f at the inner cylinder against c forindifferent values <strong>of</strong> M, Re, s.We observe that C f decreases with increasinginvalues <strong>of</strong> M, Re, s whereas in Figures 17–19, the skinfrictionC f at the outer cylinder increases withoutincreasing values <strong>of</strong> M, Re, s.ACTA TECHNICA CORVINIENSIS – Bulletin <strong>of</strong> EngineeringFigure 17. Variation <strong>of</strong> C with cfoutFigure 14. Variation <strong>of</strong>C with cfinFigure 18. Variation <strong>of</strong>C with cfoutFigure 15. Variation <strong>of</strong>C with cfinFigure 19. Variation <strong>of</strong>C with cfoutFigure 16. Variation <strong>of</strong>C with cfinFigure 20. Variation <strong>of</strong> C with efin1202013. Fascicule 3 [July–September]
ACTA TECHNICA CORVINIENSIS – Bulletin <strong>of</strong> EngineeringFigure 21. Variation <strong>of</strong> C with eFigures 20–21 show the variation <strong>of</strong> the coefficient <strong>of</strong>skin friction at inner and outer <strong>cylinders</strong> against Mfor different values <strong>of</strong> e.We observe thatfinfoutC increases, whereasC fdecreases with increasing values <strong>of</strong> e. These resultsare in correlation with the results <strong>of</strong> Bathiah andVenugopal [12].CONCLUSIONSIn this paper, the effect <strong>of</strong> axial magnetic field on<strong>micropolar</strong> <strong>fluid</strong> <strong>flow</strong> due to <strong>steady</strong> rotation <strong>of</strong>concentric <strong>cylinders</strong> with inner porous lining isexamined. It is observed that1. Micro-polarity <strong>of</strong> the <strong>fluid</strong> affects the velocitybut couple stress parameter can not affect thevelocity pr<strong>of</strong>iles2. As magnetic field strength increases velocitydecreases and micro-rotation <strong>of</strong> the particlesdecreases and there by skin friction decreases atinner cylinder and increases at outer cylinder3. As porous lining thickness increases, the skinfriction at the inner cylinder increases and atthe outer cylinder decreases.REFERENCES[1.] E. Cossera and F. Cosserat, Theorie des CorpsDeformables. (A. Hermann, Paris) (1909).[2.] D.W. Condiff and J.S. Dahler, Fluid mechanicalaspects <strong>of</strong> anti-symmetric stress, Phys. Fluids, 7,842–854, (1964).[3.] A.C. Eringen, Theory <strong>of</strong> <strong>micropolar</strong> <strong>fluid</strong>s, J.Math. Mech, 16, 1–18, (1966).[4.] G.Lukaszewicz, “Micropolar <strong>fluid</strong>s theory andapplications”, Birkhauser, Boston, (1999).[5.] R.E. Rosensweig, Ferrohydro-dynamics,Cambridge University Press, Cambridge, (1985).[6.] M.A. Turk, N.D. Syvester and T. 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Kamel, Flow <strong>of</strong> a polar <strong>fluid</strong> <strong>between</strong> <strong>two</strong>eccentric <strong>rotating</strong> <strong>cylinders</strong>, J. <strong>of</strong> Rheol., 29 (1),37–48, (1985).[20.] S. Meena, P. Kandaswamy and Lokenath Debnath,Hydrodynamic <strong>flow</strong> <strong>between</strong> <strong>two</strong> eccentric<strong>cylinders</strong> with suction at the porous walls, Int. Jmath. maths sci,25 (2),93–113, (2001).[21.] A.K. Borkakati and I. Pop, MHD Heat transfer inthe <strong>flow</strong> <strong>between</strong> <strong>two</strong> coaxial <strong>cylinders</strong>, ActaMech., 51, 97–102, (1984).[22.] D. Srinivasacharya and M. Shiferaw Numericalsolution to the MHD <strong>flow</strong> <strong>of</strong> <strong>micropolar</strong> <strong>fluid</strong><strong>between</strong> <strong>two</strong> concentric porous <strong>cylinders</strong>, Int. J.<strong>of</strong> Appl. Math. Mech, 4(2), 77–86, (2008).[23.] G. Pontrelli and R.K. Bhatnagar, Flow <strong>of</strong> aviscoelastic <strong>fluid</strong> <strong>between</strong> <strong>two</strong> <strong>rotating</strong> circular<strong>cylinders</strong> subject to suction or injection, Int. J forNumer. Methods in Fluids, 24, 337–349, (1997).[24.] C. Fetecau and Corina Fetecau, Starting solutionsfor the motion <strong>of</strong> a second grade <strong>fluid</strong> due tolongitudinal and torsional oscillations <strong>of</strong> acircular cylinder, Int. J <strong>of</strong> Engg. sci, 44, 788–796,(2006).ACTA TECHNICA CORVINIENSIS – Bulletin <strong>of</strong> EngineeringISSN: 2067-3809 [CD-Rom, online]copyright © UNIVERSITY POLITEHNICA TIMISOARA,FACULTY OF ENGINEERING HUNEDOARA,5, REVOLUTIEI, 331128, HUNEDOARA, ROMANIAhttp://acta.fih.upt.ro2013. Fascicule 3 [July–September] 121
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