https://en.wikipedia.org/wiki/Tupolev_Tu-95LAL details the Soviet equivalent which flew from 1961 to 1965, despite what your article claims. Please do not hire Peter Suciu to write any more articles for you as he clearly does not do his research.
Heat from the reactor(s) expanded air which drove the turbine which pulled in more air. The reactor heat replaced the heat of combustion of jet fuel. See https://en.wikipedia.org/wiki/Aircraft_Nuclear_Propulsion