Compression Ratio Calculator

Our compression ratio calculator helps you determine the compression ratio of an internal combustion engine.

The compression ratio is a fundamental parameter that tells us how much the air–fuel mixture is compressed before ignition.

Do you want to know the formula for compression ratio, understand the meaning of swept volume and clearance volume, and see how they affect engine performance?

Are you curious about why sports cars often have higher ratios compared to everyday commuter vehicles? Look no further, because you’ve come to the right place!

Compression Ratio Calculator

Compression Ratio Formula & Explanation

📘 Main Formulas

Swept Volume (Vswept):
Vswept = π × (Bore / 2)² × Stroke

Compression Ratio (CR):
CR = (Vswept + Vclearance) ÷ Vclearance

📖 Meaning of Terms

  • Bore (B) — Cylinder diameter (in mm). Convert to cm when calculating volumes.
  • Stroke (S) — Piston travel length (in mm). Convert to cm for calculations.
  • Vswept — Swept (displacement) volume per cylinder, in cc.
  • Vclearance (Vc) — Clearance volume at top-dead-center, in cc.
  • CR — Compression Ratio, expressed like 10.5 : 1.
  • π — Pi, approx 3.14159.

📝 Worked Problem Example

Problem: An engine cylinder has Bore = 86 mm, Stroke = 86 mm, and Clearance Volume = 50 cc. Find the Swept Volume and the Compression Ratio.

Step-by-step Solution

Step 1: Convert dimensions:
Bore = 86 mm = 8.6 cm,
Stroke = 86 mm = 8.6 cm.
Step 2: Calculate radius:
Radius = Bore ÷ 2 = 8.6 ÷ 2 = 4.3 cm.
Step 3: Find cross-sectional area:
Area = π × radius² = π × (4.3)² ≈ 58.09 cm².
Step 4: Compute swept volume:
Swept Volume = Area × Stroke = 58.09 × 8.6 ≈ 499.56 cc.
Step 5: Calculate compression ratio:
CR = (Vswept + Vc) ÷ Vc
= (499.56 + 50) ÷ 50 ≈ 10.99 : 1.

📊 Reference Table for Compression Ratio Calculation

TermDescriptionTypical Value / RangeUnits
Bore (B)Cylinder internal diameter70 – 100mm
Stroke (S)Distance piston travels70 – 120mm
Clearance Volume (Vc)Volume above piston at TDC30 – 70cc
Swept Volume (Vswept)Volume displaced by piston movement200 – 600cc (per cylinder)
Compression Ratio (CR)Ratio of total cylinder volume to clearance volumePetrol: 8 – 12
Diesel: 14 – 22

FAQs

What is compression ratio in an engine?
The compression ratio is the ratio of the maximum cylinder volume to the minimum cylinder volume. In simple terms, it shows how much the air–fuel mixture is squeezed before ignition.

Why is compression ratio important?
A higher compression ratio generally means better fuel efficiency and more power output. However, it also increases the risk of knocking, which is why performance engines need higher-octane fuel.

What is a good compression ratio for my engine?
For petrol engines, a compression ratio between 8:1 and 12:1 is considered normal. Diesel engines usually run much higher, between 14:1 and 22:1. The “good” range depends on your fuel type, engine design, and performance goals.

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