Explain how heat transfer is occurring through convection, radiation and conduction in this picture.

A cup of tea/coffee transfers heat via conduction, convection and radiation.

Conduction:

Convection:

Movement of molecules within the coffee. Hot molecules of the tea at the middle of the drink will be eventually make their way to the outer part of the drink near the tea cup, where they will loose their heat.

Radiation:

Thermal radiation is the loss of heat from a solid object in to atmosphere via the release of electromagnetic radiation. So hot outer edge of the teacup loss the energy to its surroundings via thermal radiation.

this is poiselle's equation from fluid mechanic in physics. mech eng

365.25 earth days are in the year of a light year