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