Multiple shaped nano-particles influence on thermal conductivity of fluid flow between inflexible and sinusoidal walls

Abstract

An approximate approach is used to evaluate the effect of different shaped nano-particles on the thermal behavior and flow performance of nanofluid flow through inflexible and sinusoidal walls in the existence of heat generation effect. To achieve this phenomena we considered boehmite alumina in different shapes like, blade, platelet, brick and cylinder as nano-particles and methanol as a base fluid. The model considered here is pumping of methanol in combination with boehmite alumina through inflexible and sinusoidal walls, which inspired due to the reality that thread injection is a probable technique for assigning clinical implantation's in the humanoid frame with least clinical trauma. The interior cylinder is endoscope (stiff and uncompromising) rotating with constant velocity (V) and the external cylinder is sinusoidal (wave traveling down to its wall). The resulting mathematical relations are simplified with the help of low Reynolds number and long wavelength, the resulting non-linear partial differential equations are converted into ordinary differential equations by using perturbation approach. After finding the analytic solutions we graphically compare the different shapes (platelet, blade, cylinder and brick) of nano-particles to evaluate which shape of nano-particles give batter performance. To observe the performance we compare the friction forces on interior and exterior cylinders, pressure gradient, pressure rise, velocity and temperature profiles for different values of solid volume fraction and also presented the streamlines for all shapes of nano-particles.