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steady mhd flow of micropolar fluid between two rotating cylinders ...

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number graphically. Kamel [19] has studied thecreeping motion <strong>of</strong> a polar <strong>fluid</strong> in the annular region<strong>between</strong> the <strong>two</strong> eccentric <strong>rotating</strong> <strong>cylinders</strong>. Hedepicted the dependence <strong>of</strong> the velocity componentsand the spin on the coupling number and the lengthratio graphically. Meena et al [20] have studied the<strong>flow</strong> <strong>of</strong> a viscous incompressible <strong>fluid</strong> <strong>between</strong> <strong>two</strong>eccentric <strong>rotating</strong> porous <strong>cylinders</strong> with smallsuction/injection at both the <strong>cylinders</strong> and they havepresented stream lines and pressure plotsgraphically. Borkakati et al [21] have examined the<strong>steady</strong> <strong>flow</strong> <strong>of</strong> an incompressible electricallyconducting <strong>fluid</strong> <strong>between</strong> <strong>two</strong> coaxial <strong>cylinders</strong> inpresence <strong>of</strong> radial magnetic field and they plottedgraphically the heat transfer rate from the <strong>cylinders</strong>against the Hartmann number.Srinivasacharya et al [22] have studied the <strong>steady</strong><strong>flow</strong> <strong>of</strong> incompressible and electrically conducting<strong>micropolar</strong> <strong>fluid</strong> <strong>flow</strong> <strong>between</strong> <strong>two</strong> concentric porous<strong>cylinders</strong> and they have presented the pr<strong>of</strong>iles <strong>of</strong>velocity and micro-rotation components for different<strong>micropolar</strong> <strong>fluid</strong> parameters and magneticparameter. Pontrelli et al [23] studied the <strong>steady</strong><strong>flow</strong> <strong>of</strong> an Oldroyd-B <strong>fluid</strong> <strong>between</strong> <strong>two</strong> porousconcentric circular <strong>cylinders</strong>. They found velocity bynumerically solving a system <strong>of</strong> nonlinear ODEsobtained from the equation <strong>of</strong> motion andconstitutive equations and the effects <strong>of</strong> non-Newtonian parameters on velocity and on shear stressare shown through graphs.Fetecau et al [24] studied the velocity fieldscorresponding to the motion <strong>of</strong> an incompressiblesecond grade <strong>fluid</strong> due to longitudinal and torsionaloscillations <strong>of</strong> an infinite circular cylinder.In this paper, we study the <strong>steady</strong> incompressibleelectrically conducting <strong>micropolar</strong> <strong>fluid</strong> <strong>flow</strong> <strong>between</strong><strong>two</strong> concentric <strong>rotating</strong> <strong>cylinders</strong> with porous liningin the presence <strong>of</strong> an axial magnetic field.FORMULATION AND SOLUTION OF THE PROBLEMConsider an incompressible <strong>micropolar</strong> <strong>fluid</strong> <strong>between</strong><strong>two</strong> concentric circular <strong>cylinders</strong> <strong>of</strong> radii a and b(a

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