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Research Article
Boundary layer flow of Gold –thorium water based nanofluids over a moving semi-infinite plate
M. Govindaraju1, M. Selvaraj2
1Department of Mathematics, Padmavani Arts and Science College for Women, Salem, India. 2Department of Science and humanities, Ambal professional group of institutions, Coimbatore, India
Keywords
Abstract
Nanoparticle Volume Fraction;
HPM;
Boundary Layer;
Runge Kutta Gill Method
The 2-dimensional steady state boundary layer flow of nanofluids over an impermeable semi-infinite moving flat plate is studied. It is assumed that the flat plate moves with a constant velocity. Utilizing similarity transformation, the nonlinear governing equations are transformed to ordinary differential equations and then the resulting ODE is solved using the homotopy perturbation method. The strength of HPM solutions were verified by comparing with numerical results obtained using Runge-Kutta Gill method with shooting technique. Two types of nanoparticles gold and thorium in the water based fluid are considered. The Dimensionless velocity profiles are addressed for various nanoparticles and for different values of the nanoparticle volume fraction. The outcome of the nanoparticle volume fraction on the flow characteristics and mainly on the velocity gradient is investigated. It is finding that thorium nanoparticles have the highest velocity compared to Gold nanoparticles, that is the Thorium nanoparticle density is low compared to Gold nanoparticle density. The enhancing values nanoparticle volume fraction slowdown the fluid velocity and velocity gradientis high for Gold compared to Thorium.
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