The application of shock waves is found in various areas including aeronautical engineering, metal forming, pharmaceutical, and healthcare etc. Shock wave-assisted needle-free drug delivery is one of the novel inventions to provide medications to the patients without puncturing their skin. The aim is to develop a shock tube system for needle-free drug delivery by utilizing shock waves to accelerate liquid medication without puncturing the skin. A novel shock tube with a converging channel is proposed to increase the pressure at the end wall of the shock tube. This design alteration is intended to enhance the effectiveness of the shock tube for drug delivery applications. Two shock tube models are considered, viz., without a converging channel (model-1) and with a converging channel (model-2). Numerical simulations are conducted to observe the primary and reflected shock wave pressures and shock Mach numbers in both models. The results indicate that the pressure, temperature ratios, and Mach numbers are more significant for the proposed novel shock tube design (model-2) compared to the conventional design (model-1). Additionally, the microjet velocity, which is crucial for drug delivery acceleration, is calculated based on the obtained pressure at the end wall. Model-2 achieves a maximum microjet velocity of 71 m/s, which is 27.7% higher than that of model-1 at same conditions. The findings suggest that the proposed shock tube design with a converging channel offers improved performance in terms of pressure enhancement and microjet velocity generation, making it a promising candidate for needle-free drug delivery applications.