Skip to main content
11 calculators

Heat and Mass Transfer Calculators

Conduction, convection, radiation, heat exchangers, fins, and transient analysis

Heat and Mass Transfer extends Thermodynamics into the realm of rate processes — not just how much heat is transferred, but how fast and through what mechanisms. The three modes of heat transfer (conduction, convection, radiation) are analyzed separately and in combination.

Conduction through solids is governed by Fourier's Law and is analyzed using thermal resistance networks that are analogous to electrical circuits. The thermal conductivity of materials is a key property that drives insulation design, heat exchanger sizing, and electronics cooling. Convection couples fluid flow to heat transfer and is more complex due to the dependence of the convection coefficient on flow velocity, geometry, and fluid properties. Forced convection in pipes and over flat plates is correlated using dimensionless numbers: Nusselt, Prandtl, and Reynolds. Natural (free) convection results from buoyancy-driven flow caused by temperature-induced density differences. Radiation heat transfer requires no medium and becomes dominant at high temperatures; it is governed by the Stefan-Boltzmann law and is affected by geometry through view factors. Heat exchangers — devices designed to transfer heat between two fluid streams — are analyzed using LMTD or NTU-effectiveness methods. Extended surfaces (fins) increase heat transfer area and are analyzed for efficiency and effectiveness.

Heat Transfer is applied in HVAC system design, electronics thermal management, power plant optimization, food processing, and anywhere that precise control of temperature and heat flux is required.

Key Concepts

  • Fourier's Law of conduction
  • Thermal resistance networks (series and parallel)
  • Convection coefficient and Newton's Law of Cooling
  • Dimensionless numbers: Nusselt, Prandtl, Reynolds
  • Forced convection correlations for pipes and flat plates
  • Natural convection and buoyancy-driven flow
  • Radiation: Stefan-Boltzmann Law and emissivity
  • View factors for radiation between surfaces
  • Heat exchanger design: LMTD and NTU-effectiveness methods
  • Extended surfaces (fins): efficiency and effectiveness
  • Transient conduction and lumped capacitance method

Prerequisites

Thermodynamics

Heat Transfer is essentially the rate-based extension of Thermodynamics; energy balance concepts are reused constantly.

Fluid Mechanics

Convection analysis requires understanding of boundary layer flow, Reynolds number, and velocity profiles.

Differential Equations and Calculus

Steady and transient conduction problems are solved using ODEs and PDEs with boundary conditions.

Heat Transfer Calculators

Conduction Calculator

Calculate heat conduction through flat walls, cylinders, and spheres with multi-layer flat wall support

Convection Calculator

Calculate convective heat transfer Q = hA(T_surface - T_fluid) and solve for any unknown

Radiation Heat Transfer Calculator

Calculate radiative heat transfer Q = εσA(T₁⁴ - T₂⁴) with common emissivity reference values

Thermal Resistance Calculator

Build series/parallel thermal resistance networks for conduction, convection, and radiation elements

Fin Efficiency Calculator

Calculate fin efficiency and effectiveness for rectangular and annular fins using fin parameter m

Heat Exchanger LMTD Calculator

Calculate log-mean temperature difference and heat transfer rate for parallel and counter-flow heat exchangers

Heat Exchanger NTU Calculator

Calculate NTU, capacity ratio, and effectiveness for parallel flow, counter flow, and shell-and-tube heat exchangers

Lumped Capacitance Calculator

Calculate transient temperature response and time constant with Biot number validity check

Critical Insulation Radius Calculator

Calculate critical insulation radius for cylinders and spheres and determine if added insulation increases heat loss

Boiling & Condensation Calculator

Rohsenow nucleate pool boiling, film boiling, and Nusselt film condensation on a vertical plate: heat flux q" and heat transfer coefficient h

Mass Transfer Calculator

Fick's first law molar flux J = −D(dC/dx), convective mass transfer, Sherwood number, and Chilton-Colburn heat-mass analogy with Lewis number