An urban heat island is an urban area or metropolitan area that is significantly warmer than its surrounding rural areas due to human activities [Source Wikipedia].
There is a study carried out in Sri Lanka on Urban Heat Island of the Colombo Metropolitan Area, Sri Lanka, Based on Landsat Data (1997–2017). The study was carried out by Manjula RanagalageRonald C. EstoqueRonald C. EstoqueYuji MurayamaYuji Murayama. It is published in June 2017 International Journal of Geo-Information 6(June):17. Full text is available via Researchgate.
Link: Article An Urban Heat Island Study of the Colombo Metropolitan Area,...
Urban heat release from vehicles, industry, buildings etc is only one contributor to the urban heat island effect. Others include the reduction of surfaces for evapotranspiration (because of impermeable roofs and paving) and the 'canyon effect' with tall buildings.
I believe that the urban heat that you refer to is just one contributing factor to the creation of a phenomenon (the Urban Heat Island). Absorption of solar short-wave radiation, air pollution, anthropogenic heat (from vehicles, industry, etc.), sky obstruction, waterproof surfaces and decreased wind speed can all contribute to modifications of the energy balance in cities and the creation of the UHI.