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2009
DOI: 10.1016/j.jtice.2008.12.005
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Analytical solution of non-Newtonian micropolar fluid flow with uniform suction/blowing and heat generation

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Cited by 37 publications
(15 citation statements)
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“…It is found that the effect of increase in the value of internal heat source, magnetic Rayleigh number and nonlinearity of the magnetization parameter is to hasten, while increase in the value of Biot number, the ratio of viscosities and reciprocal of Darcy number is to delay the onset of thermo-magnetic convection in a ferrofluid saturated porous layer. Ziabakhsh et al [47] studied the analytical solution of non-Newtonian micropolar fluid flow with uniform suction/blowing and heat generation using homotopy analysis method (HAM). On the analytical solution for MHD natural convection flow and heat generation fluid in porous medium was studied by Bararnia et al [48].…”
Section: Introductionmentioning
confidence: 99%
“…It is found that the effect of increase in the value of internal heat source, magnetic Rayleigh number and nonlinearity of the magnetization parameter is to hasten, while increase in the value of Biot number, the ratio of viscosities and reciprocal of Darcy number is to delay the onset of thermo-magnetic convection in a ferrofluid saturated porous layer. Ziabakhsh et al [47] studied the analytical solution of non-Newtonian micropolar fluid flow with uniform suction/blowing and heat generation using homotopy analysis method (HAM). On the analytical solution for MHD natural convection flow and heat generation fluid in porous medium was studied by Bararnia et al [48].…”
Section: Introductionmentioning
confidence: 99%
“…The governing partial differential equation are first transformed into a system of ordinary differential equations before being solved numerically by a shooting method. The numerical results obtained are then compared with those reported by Wang [35], Ishak et al [36] and Ziabakhsh et al [44].…”
Section: Introductionmentioning
confidence: 83%
“…23,25,26 In this paper, neither constants are used, instead m = 1/2 is employed to meet the requirements of a dilute MF, which means the vanishing of the anti-symmetrical part of the stress tensor. [24][25][26] We introduce the non-dimensional similarity variables for a transformation of the original physical governing equation systems with the boundary conditions as follows:…”
Section: Basic Governing Equationsmentioning
confidence: 99%
“…[13][14][15][16] Recently, more investigations into the physical and engineering problems involving MFs have begun to emerge. The main research topics concern stagnation point flow; [17][18][19] heat transfer by free/mixed convection (with inclined enclosure) [20][21][22] and forced convection; 23,24 the stretching/shrinking sheet problems; [25][26][27] incorporating the boundary conditions such as suction/injection, velocity slip, heat radiation and generation, magneto hydrodynamics (MHDs); [26][27][28][29] and even a wavy differentially heated cavity. 30 Also, the flow and heat transfer of a MF through a horizontal/vertical channel 31,32 and applications in biological science 33 have been performed.…”
Section: Introductionmentioning
confidence: 99%