Downpours and flooding are set to bring more misery to the west of the country in particular, but a yellow severe weather warning covering most of Wales, north-west England and west Scotland stretches to the west and north-west of Northumberland.
The Met Office has said: "Rain will become persistent and at times heavy early on Tuesday, clearing from the west later in the day. The rain will be accompanied by gales with a risk of severe gales for exposed coasts and hills for a time. Please be aware of the potential for disruption to travel due to localised flooding."
The chief forecaster added: "A deep area of low pressure will move east to pass to the north of Scotland during Tuesday. The associated frontal system will be active, bringing a spell of heavy rain to areas exposed to the south and south-west and also accompanied by gales and locally severe gales - gusts of 70 mph are likely along south-facing coasts of southwest Scotland with large waves also expected. Many parts of the warning area are likely to receive 20-40 mm of rain, whilst the most exposed upland areas could see as much as 60 mm."
The weather system has battered America with blizzards, resulting in deep snow that has paralysed the east coast, killing 18 people. Inbound and outbound flights from major airports across America were cancelled, at least 45 of which were coming from or going to the UK. A state of emergency was declared across a vast swathe of the eastern seaboard, with schools and government offices closed, sports and entertainment events called off and thousands of homes without power.
The Environment Agency said it is monitoring UK river levels and has warned residents to 'be prepared for the possibility of flooding'.
“We will monitor rainfall closely and urge communities to be vigilant,” a spokesman said. “With heavy rainfall predicted in those areas there is obviously a risk of flooding. We will have crews out in the next couple of days and if the river levels rise then we could issue warnings.”