Rates of heat, mass and momentum transfer in a magnetic nanofluid near cylindrical surface with velocity slip and convective heat transfer.

The main attention of this study is to give analytic investigation on the behavior of a nanofluid transport rates in response to a continuous variation of parameters. After reducing the governing boundary layer equations in to a set of convenient ordinary differential forms, the efficient optimal homotopy analysis method has been successfully implemented to the set of nonlinear problems. In this analysis, it is found that significant variations of heat, mass and momentum transfer rates are identified with the changes in the values of magnetic field, porosity parameter and diffusion thermo effects. Among other things, the findings of this study will contribute for better understanding and predicting of fluid transport rates near cylindrical surfaces. This will help both theoretical scientists and practical engineers to estimate the degree to which various factors affect the quality of manufacturing products.

Heat and mass transfer analysis in unsteady flow of tangent hyperbolic nanofluid over a moving wedge with buoyancy and dissipation effects.

In this study, a convective heat and mass transfer phenomena in a time-dependent boundary layer flow of tangent hyperbolic nanofluid over a permeable stretching wedge has been examined with respect to some pertinent thermo-physical parameters. Convenient similarity transformation is used to reformulate the dimensional partial differential equations into dimensionless system of ordinary differential equations. The reduced set of equations is solved by the homotopy analysis method implemented in Mathematica environment. The effects of the relevant parameters on velocity, temperature and concentration profiles were examined in detail. The impacts of the parameters on the rates of momentum, heat and mass transfer are also analyzed quantitatively in terms of the wall friction coefficient, local Nusselt number and Sherwood number, respectively. Analysis of the results reveals that the increase in the buoyancy ratio parameter facilitates the flow velocity and the increase in the dissipation parameter maximizes the temperature distribution and nanoparticle concentration near the surface of the wedge. Moreover, the analytic approximations obtained by implementing the homotopy analysis method are found in excellent agreement with some previously published results.