Unsteady Mixed Convection Flow along Symmetric Wedge with Variable Surface Temperature Embedded in a Porous Medium Saturated with a Nanofluid
Open Access
- 1 January 2021
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in Journal of Applied Mathematics and Physics
- Vol. 09 (01), 101-126
- https://doi.org/10.4236/jamp.2021.91008
Abstract
Laminar two-dimensional unsteady mixed-convection boundary-layer flow of a viscous incompressible fluid past asymmetric wedge with variable surface temperature embedded in a porous medium saturated with a nanofluid has been studied. The employed mathematical model for the nanofluid takes into account the effects of Brownian motion and thermophoresis. The velocity in the potential flow is assumed to vary arbitrary with time. The non-Darcy effects including convective, boundary and inertial effects will be included in the analysis. The unsteadiness is due to the time-dependent free stream velocity. The governing boundary layer equations along with the boundary conditions are converted into dimensionless form by a non-similar transformation, and then resulting system of coupled non-linear partial differential equations are solved by perturbation solutions for small dimensionless time until the second order. Numerical solutions of the governing equations are obtained employing the implicit finite-difference scheme in combination with the quasi-linearization technique. To validating the method used, we compared our results with previous results in earlier papers on special cases of the problem and are found to be in agreement. Effects of various parameters on velocity, temperature and nanoparticle volume fraction profiles are graphically presented.Keywords
This publication has 36 references indexed in Scilit:
- Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheetNanoscale Research Letters, 2012
- Mixed convective boundary layer flow over a vertical wedge embedded in a porous medium saturated with a nanofluid: Natural Convection Dominated RegimeNanoscale Research Letters, 2011
- Boundary-layer flow of a nanofluid past a stretching sheetInternational Journal of Heat and Mass Transfer, 2010
- Review of convective heat transfer enhancement with nanofluidsInternational Journal of Heat and Mass Transfer, 2009
- Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluidsInternational Journal of Heat and Fluid Flow, 2008
- Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluidsInternational Journal of Heat and Mass Transfer, 2003
- Unsteady mixed convection flow in the stagnation region of a heated vertical plate due to impulsive motionInternational Journal of Heat and Mass Transfer, 2002
- NON-DARCY FORCED CONVECTION BOUNDARY LAYER FLOW OVER A WEDGE EMBEDDED IN A SATURATED POROUS MEDIUMNumerical Heat Transfer, Part A: Applications, 1994
- Effect of transpiration on combined heat and mass transfer in mixed convection along a vertical plateInternational Journal of Energy Research, 1992
- Unsteady heat transfer in impulsive falkner-skan flowsInternational Journal of Heat and Mass Transfer, 1976