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A free jet of high Prandtl number fluid impinging perpendicularly on a solid substrate of finite thickness containing small discrete heat sources on the opposite surface has been analyzed. Both solid and fluid regions have been modeled and solved as a conjugate problem. Computed results included the velocity, temperature, and pressure distributions in the fluid, and the local and average heat transfer coefficients at the solid-fluid interface. Numerical results were validated with available experimental data. It was found that the thickness of the disk as well as the location of the discrete sources showed strong influence on the maximum temperature and the average heat transfer coefficient.