Journal
IEEE TRANSACTIONS ON NANOTECHNOLOGY
Volume 14, Issue 1, Pages 159-168Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNANO.2014.2374732
Keywords
Convective boundary condition; nanofluid; nonlinearly stretching sheet; optimal homotopy analysis method (OHAM); shooting method
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The steady laminar two-dimensional flow of nanofluid due to nonlinearly stretching sheet is discussed. Convective surface boundary condition is employed for a thermal boundary layer problem. The newly proposed boundary condition is considered that requires nanoparticle volume fraction at the wall to be passively rather than actively controlled. Suitable similarity transformations are introduced to non-dimensionalize the governing boundary layer equations. The velocity, temperature and nanoparticle volume fraction distributions are determined by two methods namely 1) optimal homotopy analysis method and 2) fourth-fifth-order Runge-Kutta method based shooting technique. The results obtained by two solutions are in excellent agreement. Behavior of interesting parameters on the flow fields is thoroughly presented and discussed.
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