British businessman Shrien Dewani has arrived back in Britain after a South African judge cleared him of arranging the murder of his wife.

The 34-year-old landed at Gatwick this morning on a flight from Dubai, after leaving Cape Town amid chaotic scenes on Tuesday. 

Sky News spoke briefly to Mr Dewani on the first leg of his journey, who said it was clearly not a time for congratulations, and that he was very keen to get home.

Both he and his brother made clear they did not want to speak to the media.

"So far they have done a very good job of keeping a low profile," he said.

The case against the 34-year-old was thrown out by Judge Jeanette Traverso, who ruled that prosecution arguments fell "far below" the level needed for a conviction.

Mr Dewani denied any involvement in the murder of his 28-year-old wife Anni Dewani.

He was surrounded by photographers and reporters at Cape Town airport as he boarded an Emirates flight to Dubai on Tuesday.

Mr Dewani, of Westbury-on-Trym, Bristol, said Mrs Dewani was killed during a botched carjacking during their Cape Town honeymoon in November 2010.

The dismissal of the case led to angry scenes outside court as Mrs Dewani's family criticised the South African justice system.

The family say they will review the case with their lawyers to see if they can file a civil lawsuit against Mr Dewani in the UK.

Three men - Zola Tongo, Mziwamadoda Qwabe and gunman Xolile Mngeni - have already been convicted over Mrs Dewani's murder.

Qwabe is currently serving a 25-year sentence. Mngeni was serving life for firing the shot that killed Mrs Dewani, but died from a brain tumour in October.