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Received: 23 February 2018 Accepted: 1 September 2018 A rigorous analysis of unsteady electrically conducting nanofluid with MHD effect is presented. First, the governing partial differential equations for momentum and energy conservation are converted to couple nonlinear ordinary differential equations by means of exact similarity transformation. The Tiwari-Das nanofluid model is employed to obtain the analytical approximations for flow velocity and temperature distributions of alumina-sodium alginate nanofluid using HAM. The solution is found to be dependent on some parameters including the nanoparticle volume fraction, unsteadiness parameter, magnetic parameter, mixed convection parameter and the generalized Prandtl number. A systematic study is carried out to illustrate the effects of these parameters on the velocity and temperature distributions. Also, the value of skin friction coefficient and local Nusselt number are evaluated with variation of Prandtl number and compared with different nanoparticles.

heat and technology

Analytical solution for mixed convection and MHD flow of electrically conducting non-Newtonian nanofluid with different nanoparticles: A comparative study