# Evaluating drag and convection for a flower heat budget model

I am currently in the process of creating a heat budget model to compute stigma surface temperature. Stigmas are part of the reproductive organ of a flower (which in my case are flowers of orchards). I've attached a picture to show how it looks like. The stigmas are the white shaped bits that are popping out of the flower center. (picture not taken by me, https://thumbs.dreamstime.com/z/white-fruit-flowers-spring-beautiful-cherry-petals-anthers-stigma-branch-orchard-early-sunny-day-ready-109463924.jpg).

These things are hyper small, like in the fractions of the mms. Still, I've decided to simply consider the entire organ as if it only had 1 stigma and compute a budget for that one specifically. I consider this stigma as a cylinder and perform the necessary calculations there. My question is hence the following: would neglecting the other stigmas and only considering one would have a significant impact on the evaluation of drag and convection resistance? I am asking this because for objects of such small size, the turbulence they must generate must be so small, that I feel like the turbulence created by one stigma would not effect the others, but I'd like to know the thoughts of other people who have more knowledge than me on this matter.

I am a meteorologist by formation so I still have lots to learn in terms of understanding the mechanics of turbulence, but I have a fundamental grasp at it .

Thank you!

I know this question was asked over a year ago, but this popped into my feed and I wanted to put my two cents in since this seems very interesting. I would consider analyzing the stigmas as an array (not neglecting the other stigmas), similar to how heat transfer in pin/fin arrays are analyzed. You will probably need to make some assumptions as to the configuration of the array (i.e. staggered rows, straight rows, etc). There are tons of correlations available for heat transfer and fluid flow around arrays of fins. Here is a source showing the heat transfer equations for pins. http://thegateacademy.com/files/wppdf/Heat-transfer-through-fins.pdf Heat Transfer books by Cengel and Incropera have sections on analyzing heat transfer in pins/fins.