Abstract
This article investigates the unsteady flow and heat transfer analyses of a viscous-based nanofluid over a moving surface emerging from a moving slot. This new form of boundary layer flow resembles with the boundary layer flow over a stretching/shrinking surface depending on the motion of the moving slot. The governing partial differential equations are transformed to correct similar form using the Blasius–Rayleigh–Stokes variable. The transformed equations are solved numerically. Existence of dual solutions is observed for a certain range of moving slot parameter. The range of dual solution is strongly influenced by Brownian and thermophoretic diffusion of nanoparticles.
Highlights
The mechanism of drag and heat loss reduction [1] has been the focus of intensive analysis due to its application in the prevention of loss of mechanical energy
Nanofluids, an achievement of researchers and scientists of the developing world of nanotechnology, exploit the thermal conductivity of solids to enhance the thermal conductivity of a fluid by adding nano-sized solid particles
In this special case of unsteady flow, the slot is moving with constant speed −Uw cot(α)
Summary
The mechanism of drag and heat loss reduction [1] has been the focus of intensive analysis due to its application in the prevention of loss of mechanical energy. Several well-known methods have been proposed by researchers to reduce the drag and heat loss in physical systems out of them utilization of stretching/shrinking surfaces [2] and enhancing the thermal conductivity of the involved fluid are famous [3]. In 1997, Todd [19] introduced a new family of unsteady boundary layer flow over a moving surface emerging from a moving slot He proposed a new set of transformations containing the Blasius–Rayleigh–Stoke variable to write the governing unsteady partial differential equations in similar form. We carry out the numerical analysis of unsteady flow of nanofluid past a movable surface emerging from a moving slot by converting the governing coupled unsteady partial differential equations into similar form using the transformation involving the Blasius–Rayleigh–Stoke variable. Correlation expressions enable the readers to obtain the values of numerical results for different values of involved parameters from analytical expressions
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