Seems like you first need to
"calculate heat loss . . .using a Manual J workbook and
Information from the spreadsheet. . .used to
calculate the heat loss for each room, and the entire house.
Duct design [to] incorporate information from the heat loss
spreadsheet to design a duct system to distribute the correct
amount of air to each room to satisfy the load.
HVAC design is more complicated than electrical circuit design; everything is non-linear, interdependent and 3 dimensional, and what equations you can find work only over a limited range [so they use look-up tables or graphs].
ASHRAE is the ultimate authority but they don't lend their books to libraries; ACCA is another source.
duct cfm - Google Search
Ducts - Noise Generation
Heating & Cooling Degree Days - Free Worldwide Data Calculation