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Computational Modelling of Nanofluids Flow Over a Convectively Heated Unsteady Stretching Sheet

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The thermal boundary layer of nanofluids over an unsteady stretching sheet with a convective surface boundary condition is investigated. Two types of water based Newtonian nanofluids containing metallic or nonmetallic nanoparticles such as Copper (Cu) and Alumina (Al2O3) are considered from a theoretical viewpoint and for a range of nanoparticle volume fractions. Using a similarity transformation the governing time dependent nonlinear boundary layer equations for momentum and thermal energy are reduced to a set of nonlinear ordinary differential equations. The resulting four-parameter problem is solved numerically using fourth order Runge-Kutta integration scheme with shooting technique for some representative values of the unsteadiness parameter (A), the Prandtl number (Pr), local Biot number (Bi) and solid volume fraction parameter (φ). It is shown the both the shear stress and heat transfer rate at the sheet surface are higher for Cu-water as compared to Al2O3-water. Besides, it is found that the heat transfer rate at the surface decreases with increasing flow unsteadiness (A) and increases with increasing with increasing Bi and φ. A comparison with a previous study available in the literature has been done and we found an excellent agreement with them.
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Keywords: Unsteady stretching sheet; convective heating; nanofluids; thermal boundary layer

Document Type: Research Article

Publication date: October 1, 2013

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  • Current Nanoscience publishes authoritative reviews and original research reports, written by experts in the field on all the most recent advances in nanoscience and nanotechnology. All aspects of the field are represented including nano- structures, synthesis, properties, assembly and devices. Applications of nanoscience in biotechnology, medicine, pharmaceuticals, physics, material science and electronics are also covered. The journal is essential to all involved in nanoscience and its applied areas.
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