@Sadia Shafiq:
Sea's total K.E. is indeed more (Because of the size) but if you were to compare the K.Es of one molecule of sea and one molecule of tea, the Kinetic energy of the molecule of tea will more more. A system's total K.E. is not the only indicator of rate of evaporation, it also depends on size of system. The reason there is more evaporation is because of sea's surface area. If you pour tea on ground it will too evaporate faster.
@Azeegum:
I agree that heat can be made from friction and viscosity. And heat can come from many other sources, I guess in my ignorance I was forcing my limited study of heat (thermodynamic perspective) to be the
only meaning of heat.
I still like my definition better

because for all practical purposes in thermodynamics it rules!

Wikipedia:
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In a thermodynamic sense, heat is never regarded as being stored within a system. Like work, it exists only as energy in transit from one system to another or between a system and its surroundings. When energy in the form of heat is added to a system, it is stored as kinetic and potential energy of the atoms and molecules in the system.[
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"Heat is energy produced or transferred from one body, region, set of components, or thermodynamic system to another in any way other than as work."
Your definition is incomplete because if you think about light energy, it can be transferred without any work.
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And in your last sentence, let us replace the term "energy in move" by energy in flow or flow of energy or transfer or energy or energy transfer, because it gives an impression to mean energy in motion. And we know energy is never in motion. Even when it comes to kinetic energy, it's not the energy itself that is in motion but the object in motion is said to possess kinetic energy. For example, a bullet passing an observer has kinetic energy.
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What about heat transfer through radiation? Take the whole light spectrum, VIBGYOR along with U.V. and Gamma
Newton's Law of Cooling:
Newton's Law of Cooling is a very general law and it is not limited to convection. It accounts for all 3 modes of heat transfer because
it has only 2 parameters 'Temperature' and 'Time'. And if you know a body's initial temperature, you can calculate its 'k' a constant unique to it which is its
overall ability of heat transfer, you can calculate its temperature sometime in future.
P.S.:We're splitting hair here :p The original question has been answered several times. But bro, thanks for clarifying this concept!