He served as secretary to the British Naval Mission led by Sir Eric Geddes, who had been Dunnell's colleague at the North Eastern Railway, that travelled to the United States in October 1918.

[5][6] The purpose of the mission was to consult with the US government regarding measures to be adopted to counter the heavy losses of Allied shipping by German submarines.

[1][6] In April 1919, Dunnell was appointed Knight Commander of the Order of the Bath (KCB) "in recognition of his services during the war".

[10][11] In December 1921, it was announced that he would be created a baronet for his services to the Ministry of Transport during the period of post-war work, to take effect from 11 January 1922.

[12][13][5] Dunnell resigned from the Ministry of Transport in September 1921 and returned to York to resume his position as secretary and solicitor to the North Eastern Railway Company.

[14][15][16] In late June 1928, Dunnell led the legal team representing the London and North Eastern Railway Company at the commencement of the coronial inquest into the Darlington train collision.

[1] In December 1930, Dunnell was one of seven appointments on a panel of arbitrators for the settlement of disputes under the Central Coal Mines Scheme.

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