Is warm water heating a person swimming in it, convection or conduction; what about warm water heating the air above it?

conduction, mainly. Above, convection.

When warm water heats a person swimming in it, the primary mechanism of heat transfer is conduction. Conduction is the process by which heat is transferred between objects in direct contact with each other. In this case, the warm water transfers heat to the person's body through direct contact.

To understand why conduction is the dominant heat transfer mechanism, we can consider the following:

1. Conduction: As the person swims in the warm water, the water molecules in contact with their body transfer heat energy to the person's skin, causing the person to feel warm. The water conducts heat directly to the body, leading to a rise in body temperature.

On the other hand, when warm water heats the air above it, the primary mechanism of heat transfer is convection. Convection is the process of heat transfer through the movement of a fluid (in this case, air). Warm water heated by an external source (such as a heater) warms up the surrounding air through convection.

To understand why convection is the dominant heat transfer mechanism in this scenario, we can consider the following:

1. Convection: When the warm water comes into contact with the air, it heats the air molecules directly above the water's surface. As warm air is less dense than cold air, the warm air rises, creating a convection current. This motion causes the warm air to mix with the cooler surrounding air, distributing heat throughout the space and increasing the overall air temperature.

So, to summarize, warm water heating a person swimming in it primarily involves conduction, while warm water heating the air above it involves convection.