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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v34.i5.10
pages 387-402

Effect of Mixed Thermal Boundary Conditions and Magnetic Field on Free Convection Flow About a Cone in Micropolar Fluids

M. Modather M. Abdou
Department of Mathematics, Faculty of Science Aswan, South Valley University, Aswan, Egypt; Department of Mathematics, College of Science and Humanity Studies, Salman Bin AbdulAziz University, Al-Kharj, KSA
S.M.M. EL-Kabeir
Department of Mathematics, Salman bin Abdulaziz University, College of Science and Humanity Studies, Al-Kharj, 11942, Saudi Arabia; Department of Mathematics, Aswan University, Faculty of Science, 81528, Egypt
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

RESUMO

A boundary layer analysis has been presented to study the effect of a magnetic field in laminar free convection flow of micropolar fluids about a down-pointing cone under mixed thermal boundary conditions. The down-pointing cone forms a body geometry with increasing cross section normal to the direction of flow. The object of the study is to obtain similarity solutions for the boundary layer velocity, angular velocity, and temperature profiles, and to determine the effect of the magnetic field, micropolar parameters, and mixed thermal boundary conditions on the skin friction, wall couple stress, and surface heat flux. The transformation obtained relates the similarity solutions of the boundary layer velocity, microrotation, and temperature profiles associated with different values of the mixed thermal boundary condition parameter. Results shown in tabular and graphical forms indicate that the micropolar fluids display drag and heat transfer rate reduction characteristics.


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