| Abstract: |
| The nanoparticles provide the aptitudes in supplementing the outcome of the heat transfer, in the region of boundary layer flow. The presence of the Prandtl numbers are very important and plays the critical role, by controlling the momentum and the thermal boundary layers. The effects of the effective Prandtl number model, which has been derived from the experimental data, over the nano boundary layer. The steady, two-dimensional and the laminar flow of the incompressible gamma Auminum oxide nanofluids over the vertical stretching sheet are investigated. The governing equations are produced using the fundamental laws and are transformed by using suitable non dimensional transformations. An exact solution has been produced using incomplete cubic equation and incomplete Gamma functions. The exact solutions are analysed by plotting several graphs and tables. The velocity, temperature profiles, reduced Nusselt number and skin friction coefficient are described through plots for two different cases of effective Prandtl number. A detailed comparison is presented for different set of parameter values. It is observed that in the presence of effective Prandtl number by increasing the values of nanoparticle volume fraction of gamma Auminum oxide nanoparticles, it decreases the temperature of the nanofluids. However, it increases in the absence of effective Prandtl number. The Nusselt number showed decreasing trend against the slip parameter. |
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