DTM-BF Method for the Flow and Heat Transfer of a Nanofluid Over a Stretching or Shrinking Sheet


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Abstract


In this paper we investigate the convective heat and mass transfer in nanofluid flow over a stretching sheet analytically. By introducing a suitable transformation, the governing equations are reduced to a couple nonlinear differential equations. The asymptotic analytical solutions are obtained by using differential transform method-basic functions(DTM-BF). Four types of nanofluids, namely Cu-water, Ag-water, Al2O3-water and TiO2-water are studied. The influence of the nanoparticle volume fraction ϕ, the magnetic parameter M and different nanoparticles on the velocity, temperature and concentration are discussed and shown graphically. The analytical results have been shown to be a good agreement with the numerical results obtained by bvp4c and those in the literature.
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Keywords


Asymptotic Expansion; Chemical Reaction; Heat and Mass Transfer; Nanofluid Flow; Volume Fraction Influence

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