Steady Flow Of Micropolar Fluid Research Articles

Entropy generation analysis and effects of slip conditions on micropolar fluid flow due to a rotating disk

AbstractThis article deals with the investigation of three-dimensional axisymmetric steady flow of micropolar fluid over a rotating disk in a slip-flow regime. Further, the generation of entropy due to heat transfer and fluid friction is identified. It is noticed that the entropy generation can be decreased and controlled in the presence of slip. The anisotropic slip has vital characteristics and it has a great influence on the flow field and heat transfer. The von Kármán similarity transformation is used to establish the equations governing the flow and heat transfer characteristics of the fluid. The impact of some important parameters on velocity profiles, angular velocity (microrotation) and energy distribution is discussed and illustrated through graphs and tables. The effects of physical parameters on the entropy generation and Bejan numbers are also presented graphically. In addition, the most favorable agreement is observed among the results of the present study and those of the earlier studies.

Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet

The importance of boundary layer flow of micropolar fluid and heat transfer over an exponentially permeable shrinking sheet is analysed. The similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using very efficient shooting method. Similar to that of Newtonian fluid flow case, here also dual similarity solutions for velocity, microrotation and temperature are obtained when certain amount of mass suction is applied through the porous sheet. For steady flow of micropolar fluid over exponentially shrinking porous sheet the mass suction need to1Previous affiliation of K. Bhattacharyya. be stronger compared to the Newtonian fluid flow. From dual velocity, microrotation, and temperature profiles it is found that the velocity decreases with material parameter (related to micropolar fluid) for first solution and it increases for second, whereas the effects are opposite for fluid temperature. On the other hand, for larger material parameter microrotation profile reduces for both types of solutions. But it significant that the skin friction coefficient, the couple stress coefficient and the heat transfer coefficient show similar variation with increasing material parameter, all those physical quantities decrease for first solution and increase for second solution.

Heat Transfer in a Micropolar Fluid over a Stretching Sheet with Newtonian Heating

This article looks at the steady flow of Micropolar fluid over a stretching surface with heat transfer in the presence of Newtonian heating. The relevant partial differential equations have been reduced to ordinary differential equations. The reduced ordinary differential equation system has been numerically solved by Runge-Kutta-Fehlberg fourth-fifth order method. Influence of different involved parameters on dimensionless velocity, microrotation and temperature is examined. An excellent agreement is found between the present and previous limiting results.

Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet

The effects of thermal radiation on the flow of micropolar fluid and heat transfer past a porous shrinking sheet is investigated. The self-similar ODEs are obtained using similarity transformations from the governing PDEs and are then solved numerically by very efficient shooting method. The analysis reveals that for the steady flow of micropolar fluid, the wall mass suction needs to be increased. Dual solutions of velocity and temperature are obtained for several values of the each parameter involved. For increasing values of the material parameter K, the velocity decreases for first solution, whereas, for second solution it increases. Due to increase of thermal radiation, the temperature and thermal boundary layer thickness reduce in both solutions and also the heat transfer from the sheet enhances with thermal radiation.

Steady flow of micropolar fluid in a rectangular channel under transverse magnetic field with suction

In this paper, the steady flow of an incompressible conducting micropolar fluid through a rectangular channel with uniform cross-section in the presence of a transverse magnetic field with suction and injection at the side walls is considered. Neglecting the induced magnetic and electric fields, velocity and micro-rotation vectors are obtained in terms of a Fourier series. The volumetric flow rate is calculated and the effect of micro-rotation parameter and geometric parameter, Hartmanns number on this are graphically shown and discussed.