I suppose you wanted some specific explanation.
I don’t know much about engines or the specifics of the mechanics of diesel engines but I have my own explanation as to why warming up a diesel is important. Most everyone knows the combustion chamber is different in diesels than in standard gasoline engines. There is no sparkplug in a diesel. The ignition of the fuel is basically done from the heat of the engine and is a self-perpetuating process. So, as the engine gets warmer the whole fuel burning process gets better and easier for the tractor. Also cars don’t have the same hydraulic set-up like tractors do. Getting the engine oil in the crankcase warm is one thing. But the hydraulic oil is the tractor’s “life blood”. It controls and lubricates many parts at the same time. It’s even more important in a hydrostatic transmission. There the oil is not only the lubricant but an integral part in the function of the transmission itself. Hydrostatic transmissions are not like automobile automatic transmissions. They are basically a fancy hydraulic circuit. They are a closed-loop hydraulically powered motor with variable speed. And everyone knows how important the oil is to hydraulics.
No matter what type of vehicle you’re talking about the oil will settle and cool and not be protecting the parts when the vehicle is sitting at rest. You really don’t want all that cold dry metal rubbing against other cold dry metal at a high speed before it’s had a chance to be coated in warm lubricating oil. Unlike automobile combustion chambers many diesels have very “tight” engines. This means that the space between the cylinder and the engine block is almost non-existent. It’s metal on metal. When first started you have cold metal once again contacting cold dry non-lubricated metal. As the engine warms the parts are not only coated in warm lubricating oil but they expand somewhat, thus creating more space between the metal contact points and thus less metal on metal contact. Oil’s viscosity changes in relation to the temperature. This viscosity-temperature relationship is called the viscosity-index and is a standard measurement. Interestingly, this viscosity index is measured between the temperatures of 104F and 212F, which is considered “operating” temperature for oils. If 104F is considered the minimal “normal” operating temperature for oil then why would you go tearing across the field putting excessive stress and load on the engine parts when the engine oil is obviously very much below that temperature? Much of the reasons for warming up an engine apply to both an automobile and a tractor. But a diesel IS different and thus more important to warm up first. I suppose that’s the reason that many truckers will leave their rig running often for hours as opposed to turning it off and restarting it.
I don’t know much about the topic. Heck, truthfully it may be better to not do a warm up. Perhaps some of the other guys with more mechanical engineering and fluids knowledge know better and can explain. But the information above is all I’ve got in my tiny brain and that’s the reason I warm up my tractor for about 10 minutes before doing any serious work.