Concept:
Heat transfer occurs through three primary modes: conduction, convection, and radiation. Many real-world engineering problems involve a combination of these modes or the dominance of one specific type depending on the environment.
Step 1: Match A (Boiling Water).
When water boils in an open vessel, the movement of the fluid is driven by density differences caused by temperature gradients. This is a classic example of Dominant natural convection (IV), specifically phase-change convection.
Step 2: Match B (Earth-Atmosphere Exchange).
At night, the earth cools down by emitting energy into the atmosphere and space. This exchange occurs without a medium for conduction or significant bulk fluid movement, making it primarily Thermal radiation (III).
Step 3: Match C (Furnace Wall).
A furnace wall is a stationary solid barrier. Heat travels from the hot inner surface to the cooler outer surface through the material. If the wall is large, this is analyzed as steady-state Conduction in one dimension (I).
Step 4: Match D (Heat Sink).
A heat sink transfers heat from a component via conduction through its fins, which is then carried away by the surrounding air. This is a case where Conduction and convection occur simultaneously (II) to maximize cooling.