Heat transfer and material design are two vital technology areas in the development and licensing of Super Critical Water Reactors (SCWR). It has a direct impact on safety criteria that are based on peak cladding and fuel centerline temperatures. A high cladding temperature leads to high thermal stresses on the material, so the stress and strain across the pipe wall thickness were calculated. Cladding temperature is evaluated using heat transfer correlations. In the current work, the heat transfer coefficient of the supercritical pressure mode of water in a vertical-upward circle pipe was investigated numerically. Thermal-hydraulics and static structural modules of the ANSYS code were used to create a model that can be used for calculations. The FLUENT module calculates the thermal-hydraulic parameters as surface and water temperatures in the axial direction, while the static structural module is used to calculate the stress and strain fields across the wall surface. The prediction model's results are contrasted to measurements from the famous Watts experiments. These experiments were carried out in a uniformly heated tube to examine the effect of high pressure and temperature on water's heat transfer behavior. In this paper, new correlations of heat transfer coefficients were predicted by the created model. These correlations were evaluated for accuracy by comparing them with the other correlations.