Abstract
In this work we studied the effect of nanoparticles on the velocity and heat transfer during the flow of nanofluid in Non-Darcy mixed convection, over a wedge, taking into account of shrinking and stretching of the surface. The governing partial differential equations are converted into ordinary differential equations by means of coordinate transformation. The transformed equations are solved by means of fourth order Runge Kutta method in conjunction with shooting method. The results for the velocity and temperature fields are presented graphically as well as in tabular form. This research is expected to be useful for studying the movement of oil, gas, and water through the oil reservoir or the gas field, in the migration of groundwater and in the purification and purification of water. The friction factor decreases as the nanoparticle concentration increases whereas the heat transfer rate (Nusselt number) increases with nanoparticle concentration. The friction factor and heat transfer rate increase as the suction parameter increases. The friction factor decreases as the wedge angle increases whereas the heat transfer rate (Nusselt number) increases with wedge angle.
Highlights
The conventional fluids in engineering and sciences, such water and oil have primary limitations in enhancing performance of heat transfer due to their thermal conductivities
We study the effect of nanoparticles in nanofluids on the surface of a wedge taking into account of shrinking and stretching of the surface
Where u and v are the velocity components in the x and y directions, respectively, g is the acceleration due to gravity, is the density of the fluid, 6 is the density of the nanoparticle; is the coefficient thermal expansion; T, Tw, and T∞ are the temperature of the fluid inside the thermal boundary layer, the plate temperature and the fluid temperature in the free stream, respectively; 7 is the thermal conductivity of the fluid; 76 is the thermal conductivity of the nanoparticle, is the dynamic viscosity; 89 is the specific heat of the fluid, 896 is the specific heat of the nanoparticle Ω is the angle of inclination of wedge, and F is (Forchheimer number)
Summary
The conventional fluids in engineering and sciences, such water and oil have primary limitations in enhancing performance of heat transfer due to their thermal conductivities. Nanofluids, these are suspention of nanoparticles in basefluid. Many researchers in nanofluid community investigated the merits of dispersing nanoparticles into base fluids to enhance heat transfer in mixed convection settings. In a typical two-step process, the nanoparticles are first produced in dry powder form and mixed with the heat transfer fluids These nanofluids are not stable even though the stability could be enhanced by pH control and surfactant addition. We study the effect of nanoparticles in nanofluids on the surface of a wedge taking into account of shrinking and stretching of the surface
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