Parts of Indiana, Kentucky and Ohio were warned to expect the mercury to reach 109 degrees Fahrenheit (43 Celsius).
NWS meteorologist Alex Lamers said the high pressure dome was sparking extreme events around its periphery.
“A lot of times you get a pretty big heatwave and if you look around the edges of that you’ll see thunderstorms and tornadoes, flash flooding, extreme rainfall,” he told AFP.
The heat dome’s northern edge, where high temperatures collided with colder air, saw some violent storms Monday.
Hundreds of thousands of people were without power in the Midwest after thunderstorms tore through the area.
That cold front was expected to bring more unsettled weather, with hail and damaging winds forecast.
Further west, dramatic photographs and videos published by the National Park Service showed the devastation wreaked by flooding in Yellowstone, the country’s oldest national park.
The 3,400 square-mile (8,900 square-kilometer) park in Wyoming, which is home to the famous Old Faithful geyser, was shuttered on Monday after a flooded river swept away roads and cut off a nearby community.
Rangers warned of “extremely hazardous conditions” and told anyone still in the park to get out.
“Flood levels measured on the Yellowstone River are beyond record levels,” the NPS said on its website.
“Preliminary assessments show multiple sections of roads throughout the park have been either washed out or covered in mud or rocks, and multiple bridges may be affected.”
The small community of Gardiner, which sits just outside the park boundary in the state of Montana, was cut off, with water and power out to several properties, the NPS said.
There were also warnings of excessive heat for parts of California and Arizona, which were blasted by furnace-like conditions at the weekend.
The soaring temperatures, coupled with a lengthy drought are worsening seasonal wildfires.
Two huge blazes, each of more than 300,000 acres (120,000 hectares), continued to rage Tuesday in New Mexico.
Firefighters battling the Black Fire and the Hermits Peak fire are working to contain flames that are fuelled by exceedingly dry undergrowth.
New Mexico and much of the Southwest has been gripped by a punishing drought that has left rainfall levels below normal for years.
Dozens of other fires have sprung up throughout the region.
Wildfires are an expected part of the natural cycle, which help to remove dead plants and eliminate disease while promoting new growth.
But their size and ferocity has increased in recent years, firefighters say, as effects of the crippling drought make themselves felt.
“Dry conditions and gusty winds are expected to produce another day of elevated to critical fire weather conditions across portions of the Southwest into the central and southern High Plains,” NWS said on its website.
Fire chiefs are warning that 2022 looks set to be a terrible year for wildfires.
“Given the fuel conditions, the fire conditions that we’re here talking about, I foresee a very tough four, five, six months in front of us,” Orange County, California Fire Chief Brian Fennessy said last week.
Scientists say global warming, which is being driven chiefly by humanity’s unchecked burning of fossil fuels, is making extreme weather events more likely.
Lamer, of the National Weather Service, said while it was difficult to conclude the changing climate was behind an individual episode, global warming was an underlying factor.
“Any weather event that you’re looking, there’s some combination of bad luck, the atmosphere has to be set up in a certain way,” he said.
“But they all happen in the context of climate, and basically climate change loads the dice and makes more extreme outcomes more likely.”