Met Office meteorologist John West said: 'Storm Caroline is well on its way across northern parts of the UK.
With cold air in place, a spell of snow looks likely to develop on its northern edge.
During this afternoon a mixture of sleet and snow showers will work their way across the whole of Britain, with the potential for blizzard conditions in Scotland.
The Met Office has issued a yellow warning for ice and snow affecting London and the south east of England.
Violent Storm Caroline slammed into the United Kingdom yesterday, bringing winds up to 116mph, 33ft waves and torrential rain to large swathes of the country.
A cold weather front is forecast to hit the British Isles this weekend, with ice and snow expected across numerous parts of the country, as temperatures plummet below 0°C.
Meanwhile, homes in Broadford, Skye, Lybster and Wick are suffering from power cuts, with Scottish and Southern Electricity Networks warning that some could be without electricity until Thursday evening.
The Met Office has also warned of large waves along the coast.
Winds are forecast to strengthen across parts of Britain on Wednesday ahead of the arrival of Storm Caroline.
More than 20 schools have been shut across the Midlands, where temperatures are expected to feel like -5C due to biting winds.
Winds of between 60 and 70mph were anticipated in northern Scotland as the storm barrelled in on Thursday morning.
There have been snow showers across high ground in Scotland.
They added: "Icy surfaces are also likely to be an additional hazard, especially overnight and there is the possibility of travel delays on roads stranding some vehicles, while some rural communities could be cut off and power supplies interrupted". The heaviest and most frequent snow showers will progressively become confined to northeast Scotland during Saturday.