Pitot Tube icing works very well in FS 2004.
The Air Speed Indicator suddenly reading zero is a good indicator that Pitot Tube Heat requires applying....quickly!
I generally keep a wary eye on the Outside Air Temperature Gauge (OAT).
Carburettor Icing is very common on normally aspirated Piston Engines..Aircraft/Motor Cars/Motorcycles, etc....>>>>
http://www.pilotfriend.com/safe/safety/carb_icing.htmMany unexplained fatal air crashes can often be attributed to Carburettor icing, the problem being, that the ice will have melted by the time the aircraft has been inspected, and the evidence is lost!
My 1931 Riley 9 Brooklands Racing car suffered badly from Carb icing in its twin SU Carburettors during Winter. The body of the Carburettor would shrink with the cold, trapping the needle Piston, which interfered with the Petrol/Air mixture which then generated Ice within the venturi and caused the engine to run rough, and often cut-out. (It was not heated by the Exhaust Manifold as in passenger cars).
My Vintage Motor Cycles suffered from the same problem during cold, damp weather (fog).
Regular application of Carburettor Heat on your Aircraft can be a life-saver!...

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Paul...I hate the cold as much as my Carburettors do!...

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Win 8.1 64-bit. DX11. Advent Tower. Intel i7-3770 3.9 GHz 8-core. 8 GB System RAM. AMD Radeon HD 7700 1GB RAM. DVD ROM. 2 Terra Byte SATA Hard Drive. Philips 17" LCD Monitor. Saitek Cyborg X Fly-5 Joystick. ...and a Briggs and Stratton Petrol Lawn Mower.