Turbojet and Turbofan Engines

Turbojet and turbofan performance is governed by momentum thrust, pressure ratio, and bypass architecture.

Key formulas & points

Skim these first — then read the full notes below.

  • Turbofan: high BPR improves propulsive efficiency at subsonic cruise
  • Overall pressure ratio OPR and TIT set cycle performance
  • Afterburner adds thrust for supersonic dash at poor TSFC

Topic details

Introduction

Indian university numericals ask thrust from mass flow and velocity change, then discuss why high BPR lowers specific fuel consumption.

Key relations & formulas

F=m˙(VjV0)+(PjP0)AjF = ṁ (V_{j} - V_{0}) + (P_{j} - P_{0}) A_{j}
(momentum thrust, general)
Fm˙(VjV0)F \approx ṁ (V_{j} - V_{0})
(momentum thrust dominates at matched pressure)
BPR=m˙cold/m˙coreBPR = ṁ_cold / ṁ_core
(bypass ratio, turbofan)

Notation and sign conventions

Relation 1 —
F=m˙F = ṁ
F=m˙(VjV0)+(PjP0)AjF = ṁ (V_{j} - V_{0}) + (P_{j} - P_{0}) A_{j}
(momentum thrust, general)
Write this relation with symbols exactly as in Hill Peterson Propulsion — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
Fm˙F \approx ṁ
Fm˙(VjV0)F \approx ṁ (V_{j} - V_{0})
(momentum thrust dominates at matched pressure)
Write this relation with symbols exactly as in Hill Peterson Propulsion — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
BPR=m˙cold/m˙coreBPR = ṁ_cold / ṁ_core
BPR=m˙cold/m˙coreBPR = ṁ_cold / ṁ_core
(bypass ratio, turbofan)
Write this relation with symbols exactly as in Hill Peterson Propulsion — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Concept in depth

Turbojets produce high jet velocity useful for high-speed flight, while turbofans split flow to increase propulsive efficiency in cruise. Cycle parameters OPR and turbine inlet temperature set core efficiency.

Assumptions and validity limits

State assumptions explicitly before using any relation for turbojet and turbofan engines — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Propulsion viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Propulsion papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to turbojet and turbofan engines.
4. Use equation 1:
F=m˙F = ṁ
.
5. Use equation 2:
Fm˙F \approx ṁ
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Turbojet and Turbofan Engines appears in aerospace powerplants. In Indian aerospace curricula this topic is tested because it connects theory to jet and rocket engines.
GATE and semester exams often combine turbojet and turbofan engines with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use turbojet and turbofan engines?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

A common slip is neglecting pressure-thrust term when nozzle is not ideally expanded.

Quick revision checklist

Before attempting turbojet and turbofan engines problems, confirm you can:
1. Turbofan: high BPR improves propulsive efficiency at subsonic cruise
2. Overall pressure ratio OPR and TIT set cycle performance
3. Afterburner adds thrust for supersonic dash at poor TSFC
Revise the solved examples in Hill Peterson Propulsion — Standard reference and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Net thrust from momentum equation

Problem

Given m_dot = 80 kg/s, Vj = 500 m/s, V0 = 220 m/s, and pressure term (Pj-P0)Aj = 2000 N, compute thrust.

Solution

F = m_dot(Vj-V0) + pressure term = 80 x 280 + 2000 = 24400 N.

Conceptual check — Turbojet and Turbofan Engines

Problem

In a Propulsion semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of turbojet and turbofan engines." What should a complete answer include?

Exams & GATE

Hill & Peterson Ch. 5 — draw T-s diagram for Brayton cycle with fan bypass.

📖 Standard books (India)

  • Hill Peterson PropulsionStandard reference

    Read: Syllabus unit

    Referenced in Indian B.Tech syllabus