Effect of partial slip on an unsteady MHD mixed convection stagnation-point flow of a micropolar fluid towards a permeable shrinking sheet

AbstractThe objective of the present study was to investigate the partial slip effect on an unsteady two-dimensional mixed convection stagnation point flow towards a permeable shrinking sheet. The governing equations are reduced to a system of non-dimensional partial differential equations using a semi-similarity transformation, before being solved numerically by using Keller-box method. The features of the flow characteristics for different values of the governing parameters are analysed and discussed. The results indicate that the momentum, thermal and concentration boundary layer thicknesses increase with increasing mixed convection parameter for opposing flow, whereas the opposite effect is observed for assisting flow. The results also show that the surface velocity is higher when there is slip at a sheet compared to its absent. Further, the study indicates that the boundary layer thicknesses become thicker and thicker with increasing shrinking parameter, while the opposite effect is observed with increasing Hartmann number. Comparison with previously published work for special cases is performed and found to be in excellent agreement

MHD mixed convection in micropolar fluid with cross diffusion effects

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.This paper analyzes cross diffusion effects on the steady, mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid in the presence of traverse magnetic field. The governing nonlinear partial differential equations and their associated boundary conditions are transformed into a system of coupled nonlinear ordinary differential equations using a special form of Lie group transformations, namely, the scaling group of transformations and then solved numerically using the implicit finite difference method. The non dimensional velocity, microrotation, temperature and concentration along with the non dimensional rate of heat and mass transfer at the plate are presented graphically for different values of coupling number, magnetic parameter (M), mixed convection parameter (Ri), Soret number (Sr) and Dufour number (Df). In addition, the skin-friction coefficient and the wall couple stress are shown in a tabular form.cf201

MHD stagnation-point flow over a stretching/shrinking sheet in a micropolar fluid with a slip boundary

The problem of stagnation point flow over a stretching/shrinking sheet immersed in a micropolar fluid is analyzed numerically. The governing partial differential equations are transformed into a system of ordinary (similarity) differential equation and are then solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The effects of various parameters on the velocity and the angular velocity as well as the skin friction coefficient and the couple stress are shown in tables and graphs. The noticeable results are found that the micropolar and the slip parameters decrease the skin friction coefficient and the couple stress in the existence of magnetic field. Dual solutions appear for certain range of the shrinking strength. A stability analysis is performed to determine which one of the solutions is stable. Practical applications include polymer extrusion, where one deals with stretching of plastic sheets and in metallurgy that involves the cooling of continuous strips

Magnetohidrodinamik Yang Tak Tunak Pada Lapisan Batas Yang Mengalir Melalui Bola Di Dalam Fluida Mikrokutub Di Bawah Pengaruh Medan Magnet

Kajian-kajian tentang aliran fluida tentunya sangat menarik untuk dipelajari, mengingat begitu banyaknya manfaat yang dapat diperoleh dan diterapkan dalam berbagai aspek kehidupan. Kajian tentang aliran fluida yang saat ini banyak diteliti adalah Magnetohidrodinamik (MHD). Magnetohidrodinamik adalah suatu kajian tentang aliran fluida penghantar listrik yang dipengaruhi oleh medan magnet. Pada penelitian ini dikaji dan diteliti pengaruh medan magnet pada aliran fluida magnetohidrodinamik yang tak tunak pada lapisan batas yang mengalir melalui bola di dalam fluida mikrokutub di bawah pengaruh medan magnet secara teori dengan mengkonstruksi model matematikanya dan kemudianmodel matematika yang diperoleh akan diselesaikan secara numerik dengan skema Keller-Box kemudian disimulasikan secara numerik untuk mengkaji pengaruhnya terhadap profil kecepatan aliran fluida dan profil mikrorotasi partikelnya. Hasil dari penelitian menunjukkan semakin besar parameter magnetik, maka semakin meningkat pula profil kecepatan aliran fluida mikrokutub. Selain itu semakin besar parameter bahan, maka semakin menurun profil kecepatan aliran fluida mikrokutub serta Semakin besar parameter magnetik, maka profil mikrorotasi akan semakin kecil untuk n=0. Sedangkan untuk n=0,5 dan n=1, semakin besar parameter magnetik, maka profil mikrorotasi akan semakin besar. =============================================================================================== Research about fluid flow was very interesting because have a lot of advantage and can be applied in many aspect of life. The study on fluid flow which is now widely studied is the magnetohydrodynamic (MHD).Magnetohydrodynamic is a conductivity, flow or movement of a fluid or electrically in a magnetic field. This research has reviewed and investigated the effect of magnetic fields on the flow of fluid magnetohydrodynamic are unsteady on the boundary layer that flows through the sphere in the fluid mikrokutub under the influence of a magnetic field in theory to create a model of math and then the system of equations obtained will be solved numerically with Keller-Box scheme then numerically simulated to assess its effect on the fluid flow velocity profile and the profile micro rotation particles. The result of this research indicate increasing the magnetic parameters, increasing velocity profile. Increasing material parameters, decreasing velocity profile and increasing magnetic parameters, decreasing microrotation profile for n=0. While for n=0,5 and n=1, increasing magnetic parameters, increasing microrotation profile