The present paper deals with the effect of surface heat and mass transfer on magnetohydrodynamic flow of Powell-Eyring fluid over a vertical stretching sheet. The effects of thermophoresis, Joule heating and chemical reaction are also considered. The governing non-linear partial differential equations of the model are transformed into coupled non-linear ordinary differential equations using a similarity transformation and solved numerically by Runge-Kutta method and analytically by homotopy analysis method (HAM). The convergence is carefully checked by plotting h-curves. For different dimensionless parameters, numerical and analytical calculations are carried out and an investigation of the obtained results shows that the flow field is influenced considerably by the buoyancy ratio and thermal radiation, chemical reaction and magnetic field parameters. A totally analytical and consistently applicable solution is derived which agrees with numerical results.
This paper devotedly study the double diffusive Darcian convection flow of Eyring-Powell fluid from a cone embedded in a homogeneous porous medium with the effects of Soret and Dufour. Arising set of non-linear partial differential equations are transformed through a suitable self-similar transformation into a set of nonlinear ordinary differential equations. Further, the numerical and the analytical solutions of the governing equations are elucidated by using numerical method as well as non-perturbation scheme. Numerical values are presented through tables for the skin friction coefficients, Nusselt number and Sherwood number. The obtained results are validated by comparing the analytical results with previously published results obtained by bvp4c for the numerical values of physical quantities. The effect of various parameters on the velocity, temperature and concentration profiles is discussed and also shown graphically.
In this paper, the flow of blood through a curved vessel having stenosis and aneurysm is investigated. To evaluate the impact of stenosis and aneurysm in a curved channel, the curvilinear coordinates are used to formulate a suitable geometry. The flow and heat transfer are investigated in the presence of nanoparticles that play a significant role in blood flows through arteries and they are gaining popularity in hematological treatment. The dynamical behavior of blood flow is modeled by using Eyring-Powell fluid model and the coupled partial differential equations are formulated to study the blood rheology. The flow, and heat and mass transfer equations are numerically solved by using finite difference scheme. The effect of some significant parameters on blood flow through a curved channel with stenosis and aneurysm is discussed and displayed in graphs. The pattern of blood flow is also depicted through geometrical patterns.
This article deals with the investigation of threedimensional 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.
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