Mathematical Modeling of Velocity and Heat Transfer in an Optically Thick Nanofluid Incorporating Several Engineering Strategies

摘要

Fluid systems in which the governing transport occurs only among neighbouring volume elements allow the modeling via differential equation. To exemplify this, the fluid flow and heat transfer were studied in water based optically thick nanofluids containing nanoparticles of Copper (Cu)and Silver (Ag). The engineering strategies incorporated in unsteady free convection flow past an oscillating plate with variable inclination in the presence of magnetic field with porous medium. The following aspects were addressed: (a) the Physical laws that control the fluid flow and heattransfer (b) the appropriate Mathematical modeling (c) the relevant approximations (d) the conversion of the differential equations into algebraic form using Laplace Transforms. The algebraic expressions were then used to establish the profiles of velocity, temperature, Nusselt number andSkin friction. The results are critically assessed graphically and possible optimum solutions proposed.