Array Cooling
πŸ“„ [[HeatTransferSimulinkFunction.pdf]] (Click to preview)
Dynamic Similarity
πŸ“„ [[dynamicSimilarity.pdf]] (Click to preview)
- Wanted to see if I could save a couple weeks by using imperial stock rather than 1:1 size metric stock(from china)
Simple 1R Cell Model for heat estimates
πŸ“„ [[FPThermals.pdf]] (Click to preview)
Nusselt Correlation
πŸ“„ [[NusseltCorr.pdf]] (Click to preview)
Nusselt Correlation

Nu=hLk=Cβ‹…Remβ‹…Prn

Reynolds and Prandtl

Re=VLν,Pr=νρCpk

Plugging them in

hLk=C(VLν)m(νρCpk)n

Rearranging

h=kLβ‹…Cβ‹…VmLmΞ½mβ‹…Ξ½nρnCpnkn

Simplified Expression

h=Cβ‹…Lmβˆ’1β‹…Vmβ‹…Ξ½nβˆ’m⋅ρnβ‹…Cpnβ‹…k1βˆ’n
Note how the heat transfer coefficient is related to Velocity to the ^m power. From what I've seen m is generally about 0.6-0.7 (or lower.() With knowledge of the fan affinity laws V is proportional to P^3 . With the m coefficent of 0.7 my best guess is that doubling the cooling ability needs 16x the amount of power. (later on I actually calculate this correlation from experimental testing)

Matlab's export mlx as pdf didn't end up very neat, but I wanted to represent what I was doing at the time in some way. My code back then honestly wasn't that good

Referenced Textbook: Fundamentals of Heat and Mass Transfer, 8th Edition BYΒ Theodore L. Bergman