what is the flow rate of gojoโs sperm? ๐ค
๐ ๐ ๐ ALRIGHT LETโS FIND OUT
shoutout to m00tie @quinnyundertow since u said there's nothing that turns you on more than hearing how mobile a man's flagella are. this one's for you bb.
alright, first off, because his cum is confirmed to be both incompressible fluid as well as move with laminar flow, these attributes satisfy the conditions of pouiseulleโs law:
i had to do a little bit of research to determine if it was laminar or turbulent flow, and apparently sperm travels with both stokes & laminar flow, which is pretty interesting, and also moves in a sinusoidal propagating wave, likely due to the movements/shape of the flagella
note: microscopic sperm travel & ejaculate fluid travel are two very different things, but i canโt solve for anything microscopic here so weโre just gonna go for the ejaculate fluid only
anyways, to use pouiseulleโs law, letโs first determine our variables, and make sure we get the units right as well! always draw a diagram w all the variables:
now, letโs identify the variables:
1. radius (r) of tube -> this refers to the pipe/tube, therefore in this case, the vaginal canal. now since gojo has decided to creampie, we can assume that the radius of the vaginal canal will be equivalent to the radius of his girth as he is stretching you out. gege told me the diameter of his big fat schlong is approximately 3 inch girth, therefore the radius = 3/2 = 1.5 inches
2. ฮP refers to change in pressure gradient, in this case iโve decided to have P1 as pressure at vaginal canal opening, and P2 as pressure at the end where the cervix is. therefore, ฮP = (P1 - P2) for the equation. i know youโve got that gorilla grip coochie, esp when the worldโs strongest sorcerer is fuckin you SENSELESS, but all things considered this is a very difficult parameter to measure, therefore i found this article to help out with this:
weโre going to assume โcontraction pressureโ (at the vaginal canal opening) is P1, due to gojoโs intrusion. and weโre going to assume โpressure at restโ is P2 at the end near the cervix (heโs pulled out a lil bit ok this makes things easier for me)
kPa are the units that we want for ฮP in this case, therefore itโs a simple calculation:
ฮP = P1 - P2 = 41.8 kPa - 26.8 kPa = 15 kPa
3. the last variable we need to account for here is L, which is the length of the PIPE HEโS LAYIN INSIDE OF YOU (jk itโs just length of ur coochie). now, i imagine this man is a generous lover, and heโs alr made you cum a few before he stuck it inside, so with arousal, the vaginal canal length has likely increased to about 5 inches (moreso 4.75in based on avg values in research but he stretched you in even more during the sexing!!) therefore L = 5 in
4. the other two values are just constants:
ฯ = pi 3.1415 (imma just use pi function in calc)
ฮท = this is viscosity of a fluid. based on this research article, the viscosity of human semen is approximately 9.35 cps. we want these units in kPaโขs (remember that your units need to match the units of the other variables), so we need to use density of sperm (1.043 g/ml) to convert the factor (i just used chatgpt lol) but the conversion factor is pretty similar therefore we will just plug in something close to 9.35 kPaโขs (true value is a little smaller)
ALRIGHT WONDERFUL! WE HAVE DETERMINED ALL OF OUR VARIABLES :) NOW WE JUST NEED TO PLUG IT INTO OUR EQUATION/DIAGRAM:
*note: mind the units! (shown in blue) there are lots of variations on how flow rate can be shown w the units, so u wanna be careful that they match
YAAAAY!! so the flow rate (Q) of gojoโs cum is approximately 0.63787 in^3/sec โบ๏ธ๐
use a quick converter online, and we can make it into liters per minute -> 0.02214 l/min. convert this to milliliters -> 22.14 mls
which means that, in one of gojoโs average cumshots, he cums 22.14 mls of ejaculate !!! :0 sheesh thatโs a lot!!
but how does this value compare to other men? research varies, but on average, men ejaculate between 1-10mls per orgasm, therefore the worldโs strongest sorcerer cums more than TWICE the worldwide average!!
and one final calculation shows us that when he finishes, itโs at about 0.369 mls per second :) that's fuckin fast!!!
thank you for cumming to my ted talk!! byee
alr ellie out โ๐ผ๐ (i have sm brainrot)
disclaimer: i am neither mathematician nor engineer nor physicist ๐งโโ๏ธโจ i hold a b.s. in biology n took very simple college level physics <3 therefore i cannot speak for the true validity of these calculations or results. tis for funsies.