johnny vee wrote: ↑19 Dec 2025, 23:23
Not my maths, asked AI
If we work with a hypothetical bore 80mm and stroke 53mm, how much would the top of the piston have to be closer at TDC to increase compression ration from 16:1 to 18:1 and it spat out an answer if 7.07mm which I think is impossible. Also, the ai maths could be wrong.
Step 1: Determine the initial swept volume and clearance volume The initial swept volume (\(V_{d1}\)) is calculated using the bore (\(b=80\text{\ mm}\)) and initial stroke (\(s_{1}=53\text{\ mm}\)):\(V_{d1}=\frac{\pi \cdot b^{2}\cdot s_{1}}{4}=\frac{\pi \cdot (80\text{\ mm})^{2}\cdot (53\text{\ mm})}{4}\approx 266495.55\text{\ mm}^{3}\)The compression ratio (\(CR\)) formula is \(CR=\frac{V_{d}+V_{c}}{V_{c}}\). Given the initial \(CR_{1}=16\), we can find the clearance volume (\(V_{c}\)):\(16=\frac{V_{d1}+V_{c}}{V_{c}}=\frac{266495.55+V_{c}}{V_{c}}\)\(16\cdot V_{c}=266495.55+V_{c}\)\(15\cdot V_{c}=266495.55\text{\ mm}^{3}\)\(V_{c}\approx 17766.37\text{\ mm}^{3}\)Step 2: Calculate the new swept volume and stroke For the target compression ratio (\(CR_{2}=18\)), and keeping \(V_{c}\) constant, the new total volume is:\(18=\frac{V_{d2}+V_{c}}{V_{c}}\)\(18\cdot V_{c}=V_{d2}+V_{c}\)\(V_{d2}=17\cdot V_{c}=17\cdot 17766.37\text{\ mm}^{3}\approx 301028.29\text{\ mm}^{3}\)Now, find the new stroke (\(s_{2}\)) using the new swept volume \(V_{d2}\) and the same bore \(b\):\(V_{d2}=\frac{\pi \cdot b^{2}\cdot s_{2}}{4}\)\(s_{2}=\frac{4\cdot V_{d2}}{\pi \cdot b^{2}}=\frac{4\cdot 301028.29\text{\ mm}^{3}}{\pi \cdot (80\text{\ mm})^{2}}\approx 60.07\text{\ mm}\)Step 3: Determine the increase in stroke The increase in stroke is the difference between the new stroke and the initial stroke:\(\text{Increase}=s_{2}-s_{1}=60.07\text{\ mm}-53\text{\ mm}\approx 7.07\text{\ mm}\)Answer: The required increase in stroke is approximately 7.07 mm
Even without doing any numbers, a difference in stroke achieves an increase in displacement, and from the top of my head, after having assembled some engines, 7mm is HUGE. No way this is the number.
But talking about making a real engine, would make much more sense to calculate an increase in rod ratio or piston crown height to increase CR without increasing displacement.
Nevertheless, my numbers tell me:
(400cc + Combustion Chamber cc)/Comb. Ch. cc = CR
This gives me a combustion chamber of 26cc for CR = 16 and 23,5cc for CR = 18.
With the piston surface area, assuming a cylindrical combustion chamber, 4,7mm in height for CR = 18 and 5,2mm in height for CR = 16
0,5mm of difference with a long rod in some aluminum alloys is not too far fetched (even while thinking in an aluminum rod is quite a stretch).
Disclaimer: I can be wrong. Numbers quickly put in my kitchen whiteboard.
