## 3 Results
(**a**) static (conventional); (**b**) static (thin plate); (**c**) first quarter at \(f=100\) and \(A_{b}=0.0025\) m (conventional); (**d**) second quarter at \(f=100\) and \(A_{b}=0.0025\) m (conventional); (**e**) third quarter at \(f=100\) and \(A_{b}=0.0025\) m (conventional); (**f**) fourth quarter at \(f=100\) and \(A_{b}=0.0025\) m (conventional); (**g**) first quarter at \(f=100\) and \(A_{b}=0.0025\) m (thin plate); (**h**) second quarter at \(f=100\) and \(A_{b}=0.0025\) m (thin plate); (**i**) third quarter at \(f=100\) and \(A_{b}=0.0025\) m (thin plate); (**j**) fourth quarter at \(f=100\) and \(A_{b}=0.0025\) m (thin plate). At the start of the fourth quarter, it can be seen in Figure 6_f_j that the recirculation zones formed near the tip of both heat sinks become opposite to those shown in Figures 6d and 6h, respectively. Figure 7 shows the temperature profile passing through the tip of stationary conventional and thin plate-fin heat sinks compared to increasing vibrational frequency and amplitude. The temperature profiles (Figure 7c-h) are captured at the end of the second quarter of the vibration cycle. As shown in Figure 7a,b, the stationary heat sinks have strong thermal wake regions around the fin surfaces, exhibiting a higher temperature gradient near the vicinity of the heat sink, resulting in a limited cooling effect. This is due to the streamlines flowing from the inlet to the outlet without disturbance under no vibration. However, when heat sinks vibrate under higher vibrational frequencies and amplitudes, the continuous formation of recirculation zones within the flow field disrupts the thermal boundary layer and sets the fluid in motion, thus enhancing the cooling effect. As seen in Figure 7c-f, with an increase in vibrational frequency from 50 Hz to 100 Hz at an amplitude of 0.0015 m, the thermal wakes formulated on either side of the fins are spread over the fluid domain, resulting in higher heat dissemination form heated fins to fluid and consequently reducing the fins temperature. However, as seen in Figure 7d,f, the implementation of vibration on the thin plate-fin heat sink provides a wider spread in the thermal wake behind the fins while reducing the overall thermal boundary layer thickness of the fins. Moreover, it can be seen that air temperature near the thin plate-fin heat sink is significantly reduced compared to the conventional heat sink, indicating a higher cooling effect at similar vibrational frequency conditions. In Figure 7e-h, with the increase in vibrational amplitude from 0.0015 m to 0.003 m at a frequency of 100 Hz, the thermal boundary layer around the fins in both heat sink models becomes thinner, and air temperature in the vicinity of the heat sinks is found to be significantly less as compared to that at a lower vibrational amplitude. Moreover, a thin plate-fin heat sink with higher amplitudes leads to the thinnest thermal boundary layer, owing to the induced flapping motion, leading to higher heat transfer. Figure 7: Temperature profiles on a plane passing across the tip of the heat sink at \(Re=1000\). (**a**) static (conventional); (**b**) static (thin plate); (**c**) \(f=50\) Hz, \(A_{b}=0.0015\) m (conventional); (**d**) \(f=50\) Hz, \(A_{b}=0.0015\) m (thin plate); (**e**) \(f=100\) Hz, \(A_{b}=0.0015\) m (conventional); (**f**) \(f=100\) Hz, \(A_{b}=0.0015\) m (thin plate); (**g**) \(f=100\) Hz, \(A_{b}=0.003\) m (conventional); (**h**) \(f=100\) Hz, \(A_{b}=0.003\) m (thin plate). The heat sink base is attached to the electronic component, which emits the heat. Therefore, it is necessary to provide a comprehensive analysis of the vibration effect on the temperature profiles of the heat sink base. Thus, the temperature profiles of each heat sink basee illustrated in Figure 8 under different vibrational conditions. The temperature profiles (Figure 8c-h) are captured at the end of the second quarter of the vibration cycle. When heat sinks are not subjected to vibration, the thermal boundary layer hinders the heat transfer between the heat sink and air.