Boiling and Condensation

Boiling and condensation involve phase change at a surface, giving very high coefficients; the boiling curve maps heat flux against wall superheat through nucleate, transition and film regimes, with the critical heat flux marking the dangerous peak.

Key formulas & points

Skim these first — then read the full notes below.

  • Pool vs flow boiling regimes: nucleate, transition, film
  • Condensation: dropwise h ≫ filmwise h
  • Critical heat flux limits maximum safe heat flux in boiling

Topic details

Introduction

This topic covers the very high heat-transfer rates achieved when a fluid changes phase on a heated or cooled surface, central to reboilers and condensers. You learn to read the pool-boiling curve, identify the operating regime from the wall superheat, and apply Nusselt film-condensation theory for the falling condensate layer. Dropwise condensation is noted as far more effective than filmwise but hard to sustain.

Key relations & formulas

q=hA(TsTsat)q = h A (T_{s} - T_{sat})
(boiling/condensation, phase-change flux)
Nu=0.729[gρl(ρlρv)hfgL3(μlklΔT)]¼Nu = 0.729 [g \rho_{l} (\rho_{l} - \rho_{v}) h_{fg} \frac{L^{3}}{(\mu_{l} k_{l} \Delta T)}]^¼
(Nusselt film condensation, vertical plate)
qNBΔTe3q_{NB} ∝ \Delta T_{e}^3
(nucleate boiling, Rohsenow trend)

Notation and sign conventions

Relation 1 —
q=hAq = h A
q=hA(TsTsat)q = h A (T_{s} - T_{sat})
(boiling/condensation, phase-change flux)
Write this relation with symbols exactly as in Process Heat Transfer — Kern before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
Nu=0.729[gρlNu = 0.729 [g \rho_{l}
Nu=0.729[gρl(ρlρv)hfgL3(μlklΔT)]¼Nu = 0.729 [g \rho_{l} (\rho_{l} - \rho_{v}) h_{fg} \frac{L^{3}}{(\mu_{l} k_{l} \Delta T)}]^¼
(Nusselt film condensation, vertical plate)
Write this relation with symbols exactly as in Process Heat Transfer — Kern before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
qNBΔTe3q_{NB} ∝ \Delta T_{e}^3
qNBΔTe3q_{NB} ∝ \Delta T_{e}^3
(nucleate boiling, Rohsenow trend)
Write this relation with symbols exactly as in Process Heat Transfer — Kern before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Concept in depth

In nucleate boiling, bubbles form at surface cavities and their agitation gives an enormous coefficient that rises steeply with superheat. Push the superheat too far and vapour blankets the surface (film boiling), collapsing the coefficient — the peak between them is the critical heat flux, a hard design limit because exceeding it can burn out the surface. Condensation is the mirror image: a liquid film (filmwise) adds conduction resistance that grows as it drains, whereas dropwise condensation keeps most of the surface bare and can be an order of magnitude better.

Assumptions and validity limits

State assumptions explicitly before using any relation for boiling and condensation — 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 Heat Transfer (Chemical) 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 Heat Transfer (Chemical) 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 boiling and condensation.
4. Use equation 1:
q=hAq = h A
.
5. Use equation 2:
Nu=0.729[gρlNu = 0.729 [g \rho_{l}
.
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

Boiling and Condensation appears in heat exchangers and reactors. In Indian chemical curricula this topic is tested because it connects theory to heat exchange in process equipment.
GATE and semester exams often combine boiling and condensation with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use boiling and condensation?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

Students misidentify the boiling regime by ignoring the superheat magnitude, assume the coefficient keeps rising past the critical heat flux, and forget the strong (roughly cubic) dependence of nucleate-boiling flux on superheat. Treating condensation as single-phase convection is another error.

Quick revision checklist

Before attempting boiling and condensation problems, confirm you can:
1. Pool vs flow boiling regimes: nucleate, transition, film
2. Condensation: dropwise h ≫ filmwise h
3. Critical heat flux limits maximum safe heat flux in boiling
Revise the solved examples in Process Heat Transfer — Kern 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.

Condensation heat rate

Problem

A condenser surface at 45 °C condenses steam at 60 °C over 3 m² with h = 6000 W/m²·K. Find the heat rate.

Solution

q = hAΔT = 6000 × 3 × (60 − 45) = 270 000 W = 270 kW. Note ΔT uses saturation minus wall temperature.

Conceptual check — Boiling and Condensation

Problem

In a Heat Transfer (Chemical) semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of boiling and condensation." What should a complete answer include?

Exams & GATE

Kern Ch. 14–15 — identify boiling regime from ΔT magnitude.

📖 Standard books (India)

  • Process Heat TransferKern

    Read: Syllabus unit

    Heat exchangers and process heat transfer