The problem of mixed convection in a nanofluid along an inclined wavy surface embedded in a non-Darcy porous medium with radiation effect is analyzed. Coordinate transformation is employed to transform the complex wavy surface to a smooth surface. The governing equations are transformed into a set of ordinary differential equations using the appropriate similarity transformation and then solved using the successive linearization method. The present results are compared with previously published work and are found to be in very good agreement. The effect of pertinent parameters on the nondimensional velocity, temperature, nanoparticle volume fraction, heat, and nanoparticle mass transfer rates is studied and presented graphically.
Purpose
– The purpose of this paper is to study the mixed convection in a nanofluid along an inclined wavy surface embedded in a porous medium.
Design/methodology/approach
– The complex wavy surface is transformed to a smooth surface by employing a coordinate transformation. Using the similarity transformation, the governing equations are transformed into a set of ordinary differential equations and then lineralized using the successive linearization method. The Chebyshev pseudo spectral method is then used to solve linearized differential equations.
Findings
– The effects of Brownian motion parameter, thermophoresis parameter, amplitude of the wavy surface, angle of inclination of the wavy surface for aiding and opposing flows on the non-dimensional velocity, temperature, nanoparticle volume fraction, heat and nanoparticle mass transfer rates are studied and presented graphically.
Originality/value
– This is the first instance in which mixed convection, inclined wavy surface and nanofluid is employed to model fluid flow.
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