To determine the heat transfer coefficient of a pipe with a diameter of 0.006m and length of 0.01m, and a mass flow rate of 0.019 kg/s, one must first calculate the Reynolds number and the Prandtl number using the fluid's transport properties, including thermal conductivity, viscosity, density, and heat capacity. These calculations are essential for understanding the flow regime within the pipe. Once these numbers are established, standard heat transfer correlations found in resources like Perry's or Marks' handbook can be applied to derive the heat transfer coefficient. The thickness of the pipe is not a factor in this calculation. Accurate values for the fluid properties are crucial for precise results.