Calculating Energy for Surface Temperature Change and Integrating Radiant Heat Source

Hello everyone,

I am working on a project where I need to calculate the amount of energy required to change the surface temperature of an object in an outdoor environment, specifically focusing on heating sources for stadium spectators. Despite extensive research, I have not found any studies or resources that explain how to calculate this in the context of outdoor thermal comfort simulations for such environments.

I have been trying to integrate a radiant heat source into my simulation to determine how much energy it would consume to influence the surface temperature of the spectators in the stadium. However, I am facing difficulties both in adding the heat source and in understanding how it effectively impacts the surface temperature of the spectators, especially in an open-air environment.

Here are the specific issues I am dealing with:

  1. Energy Calculation for Surface Temperature Change: How can I calculate the energy required to change the surface temperature of objects or surfaces exposed to stadium spectators in an outdoor environment, considering environmental factors such as air temperature, humidity, wind speed, and solar radiation? I understand that heat transfer mechanisms like convection, conduction, and radiation play a role, but I’m unsure how to combine them in a comprehensive energy calculation for such specific conditions.
  2. Integrating Radiant Heat Source: I am specifically focusing on integrating a radiant heat source in the simulation to see how much energy is required to maintain or increase the surface temperature for the spectators. However, I am struggling to properly set up the radiant heat source and model its effect on the spectator areas. Any advice on how to add and control radiant heat sources in outdoor thermal comfort simulations, especially for stadiums, would be very helpful.
  3. Thermal Comfort Simulations for Stadiums: For context, I am using tools like Grasshopper (with Ladybug or Honeybee) for my outdoor thermal comfort simulations. I want to model the interaction between the radiant heat source and the surface temperature of the spectator areas accurately, and calculate the energy consumption of that heat source within this simulation, in the context of a large open-air environment like a stadium.

Any guidance, suggestions, or examples of similar studies would be greatly appreciated.

Thank you!