Nonlinear convection flow of Williamson nanofluid past a radially stretching surface

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Abstract

In the current study, a non-linear convection flow of Williamson nanofluid past a radially stretching surface under the application of electric field has been inspected. The simplified joined non-linear ordinary differential equations are acquired from the partial differential equations which are formulated from the flow problems and then, are altered into dimensionless form employing appropriate resemblance transformation and also, the multivariate nonlinear terms are linearised with the help of Taylor series expansion technique. Then ensuing nonlinear ordinary partial differential equations with matching boundary conditions are solved numerically by utilizing spectral Quasilinearization method (SQLM). The influence of pertinent parameters on different flow fields are probed and conferred in depth by means of numerous plots and tables. The outcomes demonstrate that the velocity profile f′(η) enlarges as the value of electric field E1, buoyancy λ and nonlinear convection λ1 parameters are upgraded. Also, both temperature and concentration profiles augment with a boost in values of magnetic field and thermopherasis parameters. The results also signify that, for bigger values of magnetic field parameter M, the numerical value of local Nusselt number and Sherwood number are declined.

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APA

Ibrahim, W., & Gamachu, D. (2019). Nonlinear convection flow of Williamson nanofluid past a radially stretching surface. AIP Advances, 9(8). https://doi.org/10.1063/1.5113688

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