Miniaturization of functional components in automobiles, the aerospace industry, and medical fields are among the applications targeted. Laser microprocessing of materials can be used in numerous application areas, such as micromachining, micro-welding, and micro-sized dimples to develop micro components. However, the industry's concern is to decrease metallurgical defects, viz., spatter formation, recast layer, micro-cracks, and melt bulges arising from a highly dynamic melt pool. It is challenging to understand these defects by an experimental method due to the complex mechanism of laser-matter interaction. Therefore, a 2D axisymmetric, transient finite element-based numerical model was developed to analyze it. This model considers the effect of viscous force, thermocapillary force, gravity, and recoil pressure to explore the flow pattern behavior of the melt pool. The model is developed with the help of coupled thermo-fluid flow. Using a longer pulse width, it predicted the transient flow pattern behavior and pressure. The maximum velocity field and pressure value were reported to be more than 6.0 m/s and 4.0 atm, respectively, at 0.1 ms pulse duration and 100 W laser power.