Similarity solution to three dimensional boundary layer flow of second grade nanofluid past a stretching surface with thermal radiation and heat source/sink
Abstract:Development of human society greatly depends upon solar energy. Heat, electricity and water from nature can be obtained through solar power. Sustainable energy generation at present is a critical issue in human society development. Solar energy is regarded one of the best sources of renewable energy. Hence the purpose of present study is to construct a model for radiative effects in three-dimensional of nanofluid. Flow of second grade fluid by an exponentially stretching surface is considered. Thermophoresis a… Show more
“…Anjalidevi and Kandasamy [32] analyzed the effects of chemical reaction, heat and mass transfer on laminar flow along a semi-infinite horizontal plate. Hayat et al [33] presented the chemical reaction and radiation effects on threedimensional boundary layer flow of a second grade nanofluid past a stretching surface with heat source/ sink. Abel et al [34] studied the effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source.…”
“…Anjalidevi and Kandasamy [32] analyzed the effects of chemical reaction, heat and mass transfer on laminar flow along a semi-infinite horizontal plate. Hayat et al [33] presented the chemical reaction and radiation effects on threedimensional boundary layer flow of a second grade nanofluid past a stretching surface with heat source/ sink. Abel et al [34] studied the effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source.…”
“…Results are computed through homotopy analysis method. [21][22][23][24][25][26][27][28][29][30] Convergence of the constructed series solutions is ensured. Solutions expressions are analyzed via graphs and tabular values for different quantities.…”
This article explores the hydromagnetic steady flow of Jeffrey fluid in the presence of thermal radiation. The chosen nanofluid model takes into account the Brownian motion and thermophoresis effects. Flow and heat transfer characteristics are determined by a stretching surface with flux conditions. The nonlinear boundary layer flow through partial differential systems is converted into the ordinary differential systems. The resulting reduced systems are computed for the convergent solutions of velocity, temperature and nanoparticle concentration. Graphs of dimensionless temperature and nanoparticle concentration profiles are presented for different values of emerging parameters. Skin-friction coefficient are computed and analyzed in both hydrodynamic and hydromagnetic flow situations.
“…This fact motivated us to discuss the boundary layer flow of a third order fluid over a lubricated layer of variable thickness. The transformed equations are solved using a hybrid homotopy analysis method 27,28 which is merger of analytic and numerical methods namely the homotopy analysis method [29][30][31][32][33][34][35][36] and shooting method. 37 The detail of the adopted numerical scheme is presented in section III and obtained results are validated through residual errors.…”
This article addresses the two-dimensional boundary layer flow of third order fluid in the region of a stagnation point over a surface lubricated with a power law fluid. The lubricant is assumed to have a thin layer of variable thickness over the surface. The third order fluid experiences a partial slip due to this lubrication layer. Mathematical model of the flow problem is represented through a system of nonlinear partial differential equations with nonlinear boundary conditions. The non-similar numerical and analytic solutions of the transformed ordinary differential equation are obtained using hybrid homotopy analysis method based on the combination of homotopy analysis and shooting methods. It is observed that extra drag force is required in order to achieve no-slip regime from full slip and thus slip has suppressed the effects of free stream velocity. The results varying from no-slip to full slip case are discussed under the influence of pertinent parameters.
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