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The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: Analytical solutions

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TLDR
In this article, the authors examined the magnetohydrodynamic flow of non-Newtonian nanofluid in a pipe and derived explicit analytical expressions for the velocity field, the temperature distribution and nano concentration.
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This article is published in Applied Mathematical Modelling.The article was published on 2013-02-01 and is currently open access. It has received 543 citations till now. The article focuses on the topics: Homotopy analysis method & Viscosity.

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Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field

TL;DR: In this article, the effects of induced magnetic field on peristaltic transport of a Williamson fluid model in an asymmetric channel has been investigated by using long wave length and low Reynolds number approximations.
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Heat transfer in ferrofluid with cylindrical shape nanoparticles past a vertical plate with ramped wall temperature embedded in a porous medium

TL;DR: In this paper, two types of nanoparticles, magnetite (Fe3O4) and non-magnetic (Al2O3), are added to the base fluid to study the effects of porosity and Hartmann number on ferrofluid flow.
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Interaction effects of an inclined magnetic field and nanofluid on forced convection heat transfer and flow irreversibility in a duct with an abrupt contraction

TL;DR: In this article, the authors examined the interaction effects of an inclined magnetic field and nanofluid on forced convection heat transfer and flow irreversibility in a duct with an abrupt contraction.
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The peristaltic transport of carreau nanofluids under effect of a magnetic field in a tapered asymmetric channel: application of the cancer therapy

TL;DR: In this paper, a peristaltic transport of Carreau nanofluids under the effect of a magnetic field in the tapered asymmetric channel is analyzed, and exact expressions for temperature field, nanoparticle fraction field, axial velocity, stream function, pressure gradient and shear stress are derived under the assumptions of long wavelength and low Reynolds number.
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Time-dependent 3D flow of viscoelastic nanofluid over an unsteady stretching surface

TL;DR: In this article, an unsteady three-dimensional flow of second-grade nanofluid due to thermophoresis and Brownian motion effects is generated due to unstakyy stretching in two lateral directions.
References
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Journal ArticleDOI

Investigation on Convective Heat Transfer and Flow Features of Nanofluids

TL;DR: In this article, an innovative new class of heat transfer fluids can be engineered by suspending metallic nanoparticles in conventional heat-transfer fluids, which are expected to exhibit high thermal conductivities compared to those of currently used heat transfer fluid, and they represent the best hope for enhancing heat transfer.
Book

Beyond Perturbation: Introduction to the Homotopy Analysis Method

TL;DR: In this paper, a simple bifurcation of a nonlinear problem multiple solutions of a Nonlinear Problem Nonlinear Eigenvalue Problem Thomas-Fermi Atom Model Volterra's Population Model Free Oscillation Systems with Odd Nonlinearity Free oscillations with Quadratic nonlinearity Limit Cycle in a Multidimensional System Blasius' viscous flow Boundary-layer Flow Boundarylayer Flow with Exponential Property Boundary Layer Flow with Algebraic Property Von Karman Swirling Flow Nonlinear Progressive Waves in Deep Water BIBLIOGR
Journal ArticleDOI

On the homotopy analysis method for nonlinear problems

TL;DR: A powerful, easy-to-use analytic tool for nonlinear problems in general, namely the homotopy analysis method, is further improved and systematically described through a typical nonlinear problem, i.e. the algebraically decaying viscous boundary layer flow due to a moving sheet.
Journal ArticleDOI

A critical synthesis of thermophysical characteristics of nanofluids

TL;DR: A critical synthesis of the variants within the thermophysical properties of nanofluids is presented in this article, where the experimental results for the effective thermal conductivity and viscosity reported by several authors are in disagreement.
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