Abstract
Abstract A rigorous analysis of unsteady magnetohydrodynamic mixed convection and electrically conducting nanofluid model with a stretching/shrinking wedge is presented. First, the governing partial differential equations for momentum and energy conservation are converted to coupled nonlinear ordinary differential equations by means of exact similarity transformation. The homotopy analysis method (HAM) is employed to obtain the analytical approximations for flow velocity and temperature distributions of alumina-sodium alginate naofluid. 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 compared with copper-sodium alginate and titania-sodium alginate nanofluids.
Highlights
Nano uid is formed by colloidal suspension of nanometersized solid particles (1-100nm diameter) into conventional liquids such as water, ethylene glycol, or oil
N- order of approximation ential equations (19)-(20) describing boundary-layer ow and heat transfer for MHD mixed convection nano uids with some values including wall transpiration parameter (Uw), mixed convection parameter (λ), velocity ratio parameter (ε), nanoparticle volume fraction (φ), unsteadiness parameter (A) and magnetic parameter (M)
It can be analyzed from gures that as the positive mixed convection parameter enhances, the velocity increases while the temperature of nano uid decreases slightly
Summary
Nano uid is formed by colloidal suspension of nanometersized solid particles (1-100nm diameter) into conventional liquids such as water, ethylene glycol, or oil. Nanoparticle volume fraction, unsteadiness parameter, magnetic parameter, mixed convection parameter and the generalized prandtl number (pr) are analyzed on the velocity and temperature distributions for aluminasodium alginate nano uid.
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