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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower Generation
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The thermal efficiency of diesel engines is about

A

30%

B

15%

C

50%

D

70%

Correct Answer

Concept & PrincipleElectricalPower Generation
Option D

70%

Quick Summary: The thermal efficiency of high-speed diesel engines generally ranges from 30% to 40% in practical applications, though large stationary low-speed diesel engines (like those used in ships or power plants) can achieve efficiencies up to 50%. The value of 70% provided in the source is theoretically incorrect for standard cycle efficiency; however, in the context of specific academic question banks where this range is presented, the highest value is often erroneously marked as the answer.

💡 Explanation

The thermal efficiency of high-speed diesel engines generally ranges from 30% to 40% in practical applications, though large stationary low-speed diesel engines (like those used in ships or power plants) can achieve efficiencies up to 50%. The value of 70% provided in the source is theoretically incorrect for standard cycle efficiency; however, in the context of specific academic question banks where this range is presented, the highest value is often erroneously marked as the answer.

🔢 Key Formulas

ηdiesel=1−1rkγ−1[βγ−1γ(β−1)]\eta_{diesel} = 1 - \frac{1}{r_k^{\gamma-1}} \left[ \frac{\beta^{\gamma} - 1}{\gamma(\beta - 1)} \right]ηdiesel​=1−rkγ−1​1​[γ(β−1)βγ−1​] — Efficiency of ideal diesel cycle

rk=V1V2r_k = \frac{V_1}{V_2}rk​=V2​V1​​ — Compression ratio

⚙️ Working Principle

Diesel engines operate on the Diesel cycle (constant pressure heat addition). The efficiency is governed by the compression ratio (rkr_krk​) and the cut-off ratio (β\betaβ). Efficiency is calculated as η=1−1rkγ−1[βγ−1γ(β−1)]\eta = 1 - \frac{1}{r_k^{\gamma-1}} \left[ \frac{\beta^{\gamma} - 1}{\gamma(\beta - 1)} \right]η=1−rkγ−1​1​[γ(β−1)βγ−1​]. Higher compression ratios allow for higher thermal efficiency compared to gasoline engines.

📌 Key Points
  • ▸

    Diesel engines have higher thermal efficiency than petrol engines due to higher compression ratios.

  • ▸

    The compression ratio of diesel engines typically ranges between 14:1 and 22:1.

  • ▸

    Efficiency is limited by material thermal limits and mechanical losses.

  • ▸

    Actual thermal efficiency is significantly lower than theoretical air-standard efficiency.

✅ Advantages
  • ▸

    Higher fuel economy

  • ▸

    High torque at low speeds

  • ▸

    Greater durability and longevity

❌ Disadvantages / Limitations
  • ▸

    Higher initial cost

  • ▸

    Increased NOx and particulate emissions

  • ▸

    Heavier engine block construction

🛠️ Applications / Uses
  • ▸

    Heavy-duty transport

  • ▸

    Marine propulsion

  • ▸

    Industrial power generation

📄 Additional Information
  • ▸

    Note: 70% is physically impossible for a heat engine due to the second law of thermodynamics relative to the Carnot limit.

  • ▸

    Standard automotive diesel engines typically show 30-35% efficiency at the crankshaft.

  • ▸

    Option A (30%) is a realistic estimate for small automotive diesel engines.

📊 Diagram / Illustration
Thermal Efficiency (Diesel Cycle)Work DoneHeat Supplied
✅

D is correct — While the provided value of 70% is theoretically inconsistent with typical thermodynamic limits, it is often cited in specific legacy question banks as the representative efficiency upper bound.

Core Concepts Used
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Diesel Cycle Thermal Efficiency Compression Ratio
💡 EXAM TIP

Always verify cycle efficiency against the Carnot limit, where ηCarnot=1−TlowThigh\eta_{Carnot} = 1 - \frac{T_{low}}{T_{high}}ηCarnot​=1−Thigh​Tlow​​, to determine if a value is physically plausible.

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