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Galerkin finite-element analysis; heat generation; thermal radiation; magnetohydrodynamics flow; nanofluid; stretchable plate

Fundamental goal of the present communication is to analyse the viscous electrically conducting nanofluid flow near a stagnation region past a stretching sheet. Investigation of single-wall carbon nanotubes (SWCNTs) are done and water is employed as the base fluid. Combinations of the effects of heat generation, thermal radiation, viscous dissipation and Joule heating are considered. Mathematical modelling and examinations are done in the presence of magnetic field. Similarity variables are introduced to convert nonlinear partial differential equations into nonlinear ordinary differential equations. Numerical solutions of the governing modelled equations are collected by applying Galerkin finite-element method. Impacts of distinct influential parameters such as velocity ratio parameter, solid volume fraction, magnetic parameter, radiation parameter, heat generation parameter and Brinkmann number on velocity, temperature, surface shear stress and surface heat flux are obtained and discussed. Furthermore, comparison of the results of the current analysis is made with the earlier published data.

SANTOSH CHAUDHARY¹ K M KANIKA¹

1. Department of Mathematics, Malaviya National Institute of Technology, Jaipur 302 017, India

Published

10 February 2020

Manuscript received

14 June 2019

Manuscript revised

9 October 2019

Accepted

4 November 2019

Early published

Unedited version published online

Final version published online

7 February 2020