Turbulent heat flux vector u 0 j T 0 is an unclosed term in the Reynolds Averaged energy conservation equation. Accurate modeling of this term in shock-dominated flows is important for accurate prediction of wall heat transfer rate. We study the generation of turbulent heat flux vector u 0T 0 in a canonical interaction of homogeneous isotropic turbulence with a normal shock wave. The upstream turbulence considered is purely vortical in nature. The total enthalpy conservation equation across the unsteady shock wave is written in a linearized form and is used to develop a transport equation for u 0T 0 . A budget for the source terms integrated across the time-averaged shock wave is calculated using Linear Interaction Analysis, both for 2D component waves and a 3D isotropic spectrum. We thus identify the dominant mechanisms responsible for the generation of u 0 j T 0 across the shock. The validity of Morkovin's hypothesis is also discussed.