Journal
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
Volume 135, Issue 1, Pages 533-549Publisher
SPRINGER
DOI: 10.1007/s10973-018-7075-4
Keywords
Non-Newtonian fluid; Third-grade fluid; Homotopy analysis method; Stretching sheet; Boundary layer equations
Funding
- Ferdowsi University of Mashhad [2/42929]
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This paper considers the problem of the two-dimensional mixed convection stagnation-point flow of a magnetohydrodynamic non-Newtonian nanofluid bounded by a vertical stretching sheet. Convective surface boundary and zero surface nanoparticle mass flux conditions are employed. The effects of buoyancy, radiation, Brownian motion, thermophoresis, and viscous dissipation are taken into account. The stretching velocity is assumed to vary linearly with the distance from the stagnation point. The fluid is electrically conducted with uniform magnetic field, and the work done due to deformation is taken into consideration. The three-coupled partial differential boundary layer equations are reduced to ordinary differential equations by using proper similarity transformations. Analytical solution by homotopy analysis method is obtained. Effects of different physical parameters on the dynamics of the problem are analyzed and discussed.
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