Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface

Damseh, Rebhi A.; Al-Odat, M. Q.; Chamkha, Ali J.; Shannak, B. A.

doi:10.1016/j.ijthermalsci.2008.12.018

Cited by 125 publications

(52 citation statements)

References 23 publications

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“…By following the work of the recent authors, we assuming that where is the micropolar parameter or material parameter. This assumption is generated to allow the field of equations predicts the correct behavior in the limiting case when the microstructure effects become negligible and the total spin reduces to the angular velocity, see Damseh et al (2009).…”

Section: Mathematical Formulationsmentioning

confidence: 99%

Marangoni boundary layer flow in micropolar fluid with suction/injection

Ariffin¹,

Arifin²,

Bachok³

2017

AIP Conference Proceedings

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ARTICLES YOU MAY BE INTERESTED IN Abstract.In this paper, the problem of Marangoni boundary layer flow in micropolar fluid is studied with suction/injection effect. The assumption of interface temperature to be a quadratic function of the distance along the interface is taking into account. The technique of similarity transformations is used to transform the general governing partial differential equations into a set of nonlinear ordinary differential equations. The numerical solutions of ordinary differential equations are obtained by using shooting method for each profiles and presented in the form of tables and figures along with the results of surface heat transfer. The problem is considered for two different values of microrotation , which is and where it is represented the strong and the weak concentration of microelements, respectively.

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Section: Mathematical Formulationsmentioning

confidence: 99%

Marangoni boundary layer flow in micropolar fluid with suction/injection

Ariffin¹,

Arifin²,

Bachok³

2017

AIP Conference Proceedings

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“…It is worth mentioning to this end that Kuznetsov and Nield [17] have studied the modern problem of double-diffusive natural convective boundary-layer flow of a nanofluid past a vertical plate. Further, the problem of stretching sheet with different physical effects has been investigated by Chamkha et al [18], Magyari and Chamkha [19], Damseh et al [20], etc.…”

Section: Introductionmentioning

confidence: 99%

Lie group symmetry method for MHD double-diffusive convection from a permeable vertical stretching/shrinking sheet

Roşca

Pop

2016

Computers & Mathematics with Applications

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a b s t r a c tIn this paper, the problem of the steady magnetohydrodynamics (MHD) double-diffusive convection of a viscous and electrically conducting fluid from a permeable vertical stretching/shrinking sheet with the presence of buoyancy force is investigated numerically. The effect of the MHD on the flow, heat transfer and species concentration has been also discussed. The partial differential equations are reduced to ordinary (similarity) equations using the method of the Lie group symmetry. Numerical solutions of the resulting nonlinear boundary value problem are carried out using the function bvp4c from Matlab for different values of the governing parameters. It is found that the solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions, in a certain range of the stretching/shrinking, buoyancy, suction and magnetic parameters. It is shown that the reported results are in excellent agreement with those from the open literature for a forced convection flow when the concentration gradient is absent and the stretching sheet is impermeable. In order to establish which of upper and lower solutions are stable and which are not, a stability analysis has been performed. Thus, it is found that the upper branch solution is stable and, therefore, physically realizable in practice, while the lower branch solution is not stable and, thus, physically not realizable. The effects of the governing parameters on the reduced skin friction coefficient, reduced Nusselt number and reduced Sherwood number are shown in tables and figures. It results in that the governing parameters affect considerably the flow, heat transfer and concentration characteristics. In our opinion, the results are new and original.

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“…They observed that the local and average Nusselt numbers decrease as the micropolar material parameter increases. Damseh et al [24] have studied combined heat generation and first-order chemical reaction effects on micropolar fluid flowing over a uniformly stretched permeable surface. Ashraf et al [25] have numerically studied asymmetric flow of a [26] have reported on the unsteady mixed convection of a micropolar fluid in a rectangular cavity and observed the effects of concentration of microelements.…”

Section: Introductionmentioning

confidence: 99%