Enter the squish height (clearance), engine RPM, stroke length, bore, and squish-band width into the calculator to estimate the peak squish velocity (simplified model).
- All Automotive Calculators
- Air to Fuel Ratio (AFR) Calculator
- Boost to Compression Ratio Calculator
- Compression Ratio to Bar Calculator
- Compression Ratio to PSI Calculator
- Piston Acceleration Calculator
- Bore to Stroke Ratio Calculator
- Bore X Stroke Calculator
Max Squish Velocity Formula
The following equation is a simplified estimate of peak squish (radial) velocity using an annular squish-band model. It uses a simple harmonic approximation for piston motion and evaluates the flow at a fixed crank angle of 15° before TDC (BTDC). Real engines can differ due to chamber shape, squish angle, rod ratio, and detailed flow effects.
\begin{aligned}
R&=\frac{B}{2},\quad r=R-W \\
A_s&=\pi(R^2-r^2) \\
\omega&=\frac{2\pi\cdot RPM}{60},\quad v_p(\theta)=\frac{S}{2}\,\omega\sin\theta \\
h_{\text{eff}}(\theta)&=H+\frac{S}{2}(1-\cos\theta) \\
V_s(\theta)&\approx\frac{A_s\,v_p(\theta)}{2\pi r\,h_{\text{eff}}(\theta)}\quad(\theta=15^\circ)
\end{aligned}Variables:
- Vs is the estimated squish (radial) velocity (m/s)
- H is the squish height (minimum clearance at TDC)
- RPM is the engine speed (revolutions per minute)
- S is the stroke length
- B is the bore
- W is the squish band width (radial width of the squish band)
- θ is the crank angle before TDC used for the estimate (15° in this calculator)
In words: compute piston velocity and an effective clearance at 15° BTDC, compute the annular squish-band area, then estimate radial velocity from (volume flow rate) ÷ (annular flow area at the bowl boundary).
What is Max Squish Velocity?
Max squish velocity refers to the peak speed of the air-fuel mixture as it is forced out of the squish region and into the main combustion chamber near top dead center (TDC). This “squish” motion increases turbulence and mixing, which can improve combustion. The actual peak squish velocity depends strongly on combustion-chamber and squish-band geometry (not just RPM and stroke), so simplified calculations should be treated as estimates.
How to Calculate Max Squish Velocity?
The following steps outline how to estimate peak squish velocity using the simplified model above.
- Determine the squish height at TDC (H).
- Determine the engine RPM.
- Determine the stroke length (S).
- Determine the bore (B) and squish band width (W).
- Use the equation shown above (with θ = 15° BTDC) to compute the estimated squish velocity.
- Check your result with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge (θ = 15° BTDC, as used by the calculator).
Bore (B) = 0.066 m
Squish Band Width (W) = 0.006 m
Squish Height (H) = 0.0012 m
Engine RPM = 9000
Stroke Length (S) = 0.072 m
Estimated Peak Squish Velocity ≈ 24.1 m/s