Restricted model data for the unit interval is a common requirement in many scientific and engineering applications. This article proposes a new one-parameter distribution defined in $(0,1)$, referred to as the unit Komal (UK) distribution, which is constructed through a logarithmic transformation of the Komal random variable. \textcolor{black}{Its various mathematical characteristics are derived}, including quantile function, incomplete and complete moments, risk function, entropy measure, and reliability measures. In addition, a characterization is also presented based on the hazard function. The parameter of the UK distribution is estimated using maximum likelihood and minimum distance-based estimation approaches. A comprehensive Monte Carlo simulation study is utilized to illustrate the behavior of the derived estimators. Comparison of goodness-of-fit analyzes based on engineering-related datasets reveals that the UK distribution offers better performance compared to the current rival models. The proposed model thus presents a new and effective approach to the modeling of bounded data on the unit interval, especially in the field of engineering and reliability analysis, as well as in other applicable areas.