article · Heliyon
This research investigates unsteady convective heat and mass transfer within a tangent hyperbolic nanofluid flowing past a permeable stretching wedge. Using similarity transformations, the underlying partial differential equations were converted into a dimensionless system of ordinary differential equations, which was subsequently solved using the homotopy analysis method in Mathematica. The investigation focuses on how various physical parameters alter velocity, temperature, and nanoparticle concentration distributions. Quantitatively, changes in momentum, heat, and mass transfer rates were evaluated via the skin friction coefficient, local Nusselt number, and Sherwood number. The findings show that higher buoyancy ratio parameters accelerate the fluid velocity. Furthermore, increasing the dissipation parameter raises both the thermal distribution and the concentration of nanoparticles near the wedge surface. The analytical solutions demonstrated strong agreement with previously established literature.
Understanding how non-Newtonian nanofluids behave under unsteady thermal and buoyancy effects helps refine theoretical fluid dynamics models. By determining how factors like dissipation and buoyancy alter fluid velocity and heat movement along surfaces, such studies provide foundational insights into the behaviour of advanced fluid mixtures subjected to complex mechanical and thermal stresses.
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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.
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DOI: 10.1016/j.heliyon.2020.e03776
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