Abstract.
In this paper, we revisit a mathematical model representing a two-dimensional forced convection boundary-layer flow over a horizontal impermeable plate with a variable heat flux and viscosity. It is assumed that the fluid viscosity varies as an inverse linear function of temperature, the free stream velocity varies as an inverse linear of x and the wall heat flux varies with x as \(x^{\lambda}\); where \(\lambda > -1\) and x measures the distance along the surface. Analytical local similarity solutions are presented which reveal that there are two competing effects: \(\lambda\) and \(\theta_{e}\); where \(\theta_{e}\) is the variable viscosity parameter. It has been shown that for \(\theta_{e} > 0\) dual solutions exist and boundary separation occurs, while a unique local similarity solution exists for any \(\theta_{e} < 0\).
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Guedda, M., Benlahsen, M., Sriti, M. et al. Exact similarity solutions for forced convection flow over horizontal plate in saturated porous medium with temperature-dependent viscosity. Eur. Phys. J. Plus 132, 376 (2017). https://doi.org/10.1140/epjp/i2017-11652-0
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DOI: https://doi.org/10.1140/epjp/i2017-11652-0