Boiling & Condensation Calculator
Rohsenow nucleate pool boiling, Bromley film boiling on a horizontal cylinder, and Nusselt film condensation on a vertical plate: heat flux q" and heat transfer coefficient h, with CoolProp water and R-134a presets
Rohsenow nucleate boiling, Bromley film boiling on a horizontal cylinder, and laminar, wavy-laminar or turbulent film condensation on a vertical plate.
Nucleate: q″ = μ_l·h_fg·[g(ρ_l − ρ_v)/σ]^½·[c_p,l·ΔT/(C_sf·h_fg·Pr_l^n)]³, with n = 1.0 for water and 1.7 for other liquids, up to the critical heat flux q″_max = 0.149·h_fg·ρ_v·[σg(ρ_l − ρ_v)/ρ_v²]^¼ (Zuber–Lienhard, a large horizontal surface), beyond which nucleate boiling ends. Film boiling: h = 0.62·[k_v³·ρ_v(ρ_l − ρ_v)·g·h′_fg/(μ_v·D·ΔT)]^¼ with h′_fg = h_fg + 0.4·c_p,v·ΔT; minimum (Leidenfrost) flux from Zuber's correlation for a large horizontal plate, q″_min = 0.09·ρ_v·h_fg·[gσ(ρ_l − ρ_v)/(ρ_l + ρ_v)²]^¼ (about ±50 %), so it is only an approximation beside the cylinder result; film-boiling results are given only where Bromley's flux is above q″_min, since a vapour film can't be held below it. Smooth-film condensation (Re < 30): h = 0.943·[ρ_l(ρ_l − ρ_v)·g·k_l³·h′_fg/(μ_l·L·ΔT)]^¼ with h′_fg = h_fg + 0.68·c_p,l·ΔT, where ΔT is the wall subcooling T_sat − T_s. For wavy films (30 ≤ Re ≤ 1800), h* = Re/(1.08·Re^1.22 − 5.2); for turbulent films (Re > 1800), h* = Re/[8750 + 58·Pr_l^−½·(Re^¾ − 253)], with h* = h/[k_l·(g/ν_l²)^⅓] and Re = 4hLΔT/(μ_l·h′_fg). These rounded correlations can overlap or leave gaps near transitions; no unique result is shown there.
Fluid properties (editable)
Presets are saturated liquid and vapor at the stated temperature (CoolProp 8.0.0). Film boiling uses the vapor values ρ_v, k_v, μ_v and cp_v; for a large ΔT, textbooks evaluate them at the film temperature (T_s + T_sat)/2, so enter those values here if you have them. The minimum flux reads the same ρ_v field, although q″_min is defined with saturated properties. For condensation, enter liquid properties at the mean film temperature (T_s + T_sat)/2 and latent heat and vapor density at saturation; fixed preset values give an approximation. Wavy and turbulent results require vapor density at most 5% of liquid density, a conservative calculator limit; turbulent results also require Pr_l ≥ 1.
Heat Flux q"
146.49 kW/m²
Heat Transfer Coefficient h
14648.8 W/(m²·K)
Critical Heat Flux q″_max
1261.28 kW/m²
Boiling Heat Flux vs Excess Temperature
The Rohsenow curve stops at the critical heat flux, 1261.28 kW/m² at ΔT = 20.5 K: beyond it nucleate boiling gives way to transition boiling, which the correlation doesn't describe.
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Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
When to Use This Calculator
- •Use the Boiling & Condensation Calculator to check your hand calculations on homework or exam problems — comparing its result with your own working helps identify arithmetic errors before they propagate.
- •Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
- •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
- •Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
- •Use it in the field when a quick estimate is needed and a full engineering software package is not available.
About This Calculator
The Boiling & Condensation Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Rohsenow nucleate pool boiling, Bromley film boiling on a horizontal cylinder, and Nusselt film condensation on a vertical plate: heat flux q" and heat transfer coefficient h, with CoolProp water and R-134a presets All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Follow the units printed beside each field. Where a unit selector is provided, the selected unit is converted internally. Results are computed in your browser without sending data to a server, which keeps your inputs private. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.
The Theory Behind It
Boiling and condensation are two-phase heat transfer processes that involve a phase change at or near a surface. Boiling heat transfer coefficients are much higher than single-phase convection because of intense fluid motion from bubble formation and detachment. Nucleate boiling, the efficient regime with isolated bubbles forming at the surface, produces heat transfer coefficients of 10,000-100,000 W/(m²·K) for water. Beyond the critical heat flux (CHF), the surface becomes covered by a vapor film (film boiling) with dramatically reduced heat transfer — this is the 'boiling crisis' that limits heat flux in pool boiling. Film condensation on vertical surfaces produces a liquid film that flows down under gravity, with Nusselt's classical smooth-film analysis applying below a film Reynolds number of 30. Wavy-laminar (30–1800) and turbulent films (above 1800) require separate correlations; this calculator refuses ambiguous transitions. Condensation coefficients are typically 5,000-25,000 W/(m²·K) — lower than boiling but still much higher than gas-phase convection. These processes are central to steam power plants (condensers), refrigeration (evaporators and condensers), and process heat transfer equipment.
Real-World Applications
- •Steam power plant condenser design: film condensation heat transfer coefficients determine required surface area for a given condensing duty.
- •Refrigeration evaporator design: nucleate boiling in refrigerant evaporators achieves high heat transfer rates in compact equipment.
- •Heat pipe and thermosiphon analysis: two-phase heat transfer devices rely on evaporation-condensation cycles for heat transport.
- •Nuclear reactor cooling: pressurized water reactors must operate below critical heat flux to avoid boiling crisis that could damage fuel rods.
- •Process cooling and heating: industrial condensers, reboilers, and evaporators size based on boiling and condensation heat transfer predictions.
Frequently Asked Questions
Why is boiling such effective heat transfer?
Because vapor bubbles forming at the surface generate intense mixing, continuously removing hot fluid from the wall region and bringing cooler liquid to replace it. Latent heat of vaporization carries away large amounts of energy per unit mass. Nucleate boiling heat transfer coefficients (10⁴-10⁵ W/(m²·K) for water) are 10-100× higher than single-phase forced convection.
What is critical heat flux?
The maximum heat flux that can be transferred in nucleate boiling before the surface becomes covered by a continuous vapor film. At CHF, bubbles coalesce into a vapor blanket that insulates the surface, causing heat transfer to drop dramatically and surface temperature to rise rapidly. For water at atmospheric pressure, the Zuber–Lienhard estimate is about 1.26 MW/m². Exceeding CHF in nuclear reactors or boilers causes the 'burnout' failure mode.
What's film condensation?
When vapor condenses on a vertical surface, it forms a liquid film that flows downward under gravity. For smooth films with Re < 30, the vertical-plate Nusselt result is h = 0.943·[g·ρ_l·(ρ_l − ρ_v)·h′_fg·k_l³/(μ_l·ΔT·L)]^0.25, where h′_fg = h_fg + 0.68·cp_l·ΔT and Re = 4hLΔT/(μ_l·h′_fg). Wavy and turbulent films use separate correlations. Enter liquid properties at the mean film temperature, with latent heat and vapor density at saturation. Condensation heat transfer coefficients are typically 5,000-25,000 W/(m²·K), lower than boiling but still much higher than gas-phase convection.
What's dropwise condensation?
When vapor condenses on surfaces that don't wet well (hydrophobic surfaces with appropriate coatings), the condensate forms droplets rather than a continuous film. Droplets grow and detach rapidly, constantly exposing fresh surface to vapor. Dropwise condensation gives heat transfer coefficients 5-10× higher than film condensation. However, maintaining dropwise condensation long-term is difficult because most coatings degrade, so it is not widely used in industrial equipment.
How do I calculate boiling heat transfer?
For nucleate pool boiling, use the Rohsenow correlation for the heat flux: q″ = μ_l·h_fg·(g(ρ_l − ρ_v)/σ)^0.5·((c_p,l·ΔT)/(C_sf·h_fg·Pr_l^n))^3, where C_sf depends on the fluid–surface combination and n = 1.0 for water, 1.7 for other liquids. For flow boiling in tubes, correlations like Chen or Shah are used. For vertical-plate film condensation, choose the correlation by film Reynolds number: smooth laminar below 30, wavy-laminar from 30 to 1800, and turbulent above 1800. This calculator leaves gaps where the rounded correlations do not give a unique regime; wavy and turbulent results require a vapor-to-liquid density ratio no greater than 5%, and turbulent results require Pr ≥ 1. For complex geometries, CFD simulation with phase-change models is needed.
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References & Further Reading
Wikipedia
Industry References
- CoolProp — open-source thermophysical property libraryCoolProp
Version 8.0.0 supplied the saturated water and R-134a presets.
Textbooks
- Incropera, F. P., DeWitt, D. P., Bergman, T. L., Lavine, A. S.. Fundamentals of Heat and Mass Transfer. Wiley.
Chapter 10: Rohsenow nucleate-boiling correlation with n = 1.0 for water and 1.7 for other liquids, Zuber's minimum heat flux, and Nusselt film condensation.
- Çengel, Y. A., Ghajar, A. J.. Heat and Mass Transfer: Fundamentals and Applications. McGraw-Hill.
Chapter 10: film boiling on horizontal cylinders with h′_fg = h_fg + 0.4·c_p,v·ΔT.
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