Heat Transfer Module

User Stories

Instrumentation Modeling for NASA’s Next Mars Rover MissionInstrumentation Modeling for NASA’s Next Mars Rover Mission

Nasa Jet Propulsion Laboratory, Pasadena, CA, USA
Scheduled to launch in the fall of 2009 with the goal of reaching Mars in October 2010, NASA’s Mars Science Laboratory (MSL) is a robotic rover that will...

Ugitech optimizes steel casting process using COMSOL MultiphysicsUgitech optimizes steel casting process using COMSOL Multiphysics

Ugitech S.A., Ugine, France
Ugitech S.A., a manufacturer of stainless steel in France, has used COMSOL Multiphysics to optimize running of its continuing casting machines. In their case...

Example Models

Non-Isothermal Flow Around a Cooling DeviceNon-Isothermal Flow Around a Cooling Device

This model shows the application of COMSOL Multiphysics in the modeling of non-isothermal laminar flow of fluids (in this case a gas). The model assumes that the expansion work done by the gas is negligible, that the variations in...

Microwave Cancer TherapyMicrowave Cancer Therapy

Electromagnetic heating is ideally suited for modeling in COMSOL Multiphysics. This model shows the area of hyperthermic oncology but the modeling issues and techniques are generally applicable to any problem involving electromagnetic...

Thermal Stress Analysis of a Turbine Stator BladeThermal Stress Analysis of a Turbine Stator Blade

The conditions within gas turbines are extreme. The pressure can be as high as 40 bar, and the temperature more than 1000 K. Any new component must therefore be carefully designed to be able to withstand thermal stresses, vibrations and...

Heat Generation in a Disc BrakeHeat Generation in a Disc Brake

This example models the transient heating, and final temperature, of a disc brake of a car in brake-and-release sequence. It is important to model the transient heating and the following convective cooling to determine the minimum...

Free Convection in a Water GlassFree Convection in a Water Glass

This model treats the free convection and heat transfer of a glass of cold water heated to room temperature. Initially, the glass and the water are at 5 °C and are then put on a table in a room at 25 °C. The nonisothermal flow is...

Cross-Flow Heat ExchangerCross-Flow Heat Exchanger

This model solves the fluid flow and heat transfer in a micro heat exchanger made of stainless steel. These types of heat exchangers are found in lab-on-chip devices in biotechnology and micro reactors, for example for micro fuel cells....

Turbulent Flow over a Backward-Facing StepTurbulent Flow over a Backward-Facing Step

The backward facing step is an interesting case for studying the performance and solution strategy of a turbulence model. In this case, the flow is subjected to a sudden increase of cross-sectional area, resulting in a separation of flow...

Heating of a SlabHeating of a Slab

This simple example covers the heating of a finite slab and how the temperature varies with time. We will set up the problem in COMSOL Multiphysics after which we compare the solution to the analytical solution.

Heating of a Flow in a Heat Exchanger Unit CellHeating of a Flow in a Heat Exchanger Unit Cell

In this example, we study the transport by convection and conduction. Such a system may be found in a heat exchanger or in heating of endothermic reactors. The fluid flow enters the unit cell from below and the fluid is heated as it...

Plate Heat ExchangerPlate Heat Exchanger

The model has its emphasis on heat transport in a very small heat exchanger which is commonly used in the field of Micro Electro Mechanical Systems, MEMS. In this case it might be a reactive processes that needs heating. The heat...

Free Convection in a Light BulbFree Convection in a Light Bulb

This model treats the free convection of argon gas within a light bulb. It shows the coupling of heat transport (conduction, radiation and convection) to momentum transport (non-isothermal flow) induced by density variations caused by...

Continuous CastingContinuous Casting

This example models the casting process of a metal rod from melted to solid state using the Non-Isothermal Flow multiphysics interface, which combines heat transfer and fluid flow. The model describes the fluid and solid flow and heat...

Cavity RadiationCavity Radiation

This model shows how to build and solve a radiative heat transfer problem using the Heat Transfer interface. In particular, this 2D model illustrates the use of the surface-to-surface radiation feature. In this model, three surfaces...

Convection Cooking of Chicken PattiesConvection Cooking of Chicken Patties

When cooking food, such as a patty, in convection ovens there is a trade off in the heating method. If the patty is heated at a low oven temperature the cooking is slow and the patty dries out, resulting in a poor taste. If the patty is...

Convection Cooling of Circuit Boards: Forced and Natural ConvectionConvection Cooling of Circuit Boards: Forced and Natural Convection

The suite of models examine the air cooling of circuit boards populated with multiple integrated circuits (ICs), which act as heat sources. Two possible cooling scenarios are depicted: vertically aligned boards using natural convection,...

Temperature Field in a Cooling FlangeTemperature Field in a Cooling Flange

A cooling flange in a chemical process is used to cool the process fluid, which flows through the flange. The surrounding air cools the flange via natural convection. In the stationary model, the forced convection to the process fluid is...

Copper Layer on Silica GlassCopper Layer on Silica Glass

In this time-dependent model, a silica block of glass, coated with a thin copper layer is subjected to a heat flux. Copper is a highly conductive material, while the silica glass is of poor thermal conductivity, which sets up an...

Heat Conduction in a CylinderHeat Conduction in a Cylinder

This model how to build and solve a conductive heat transfer problem using the Heat Transfer interface. The model, taken from a NAFEMS benchmark collection, shows an axisymmetric steady-state thermal analysis. As opposed to the NAFEMS...

Friction Stir Welding of an Aluminum PlateFriction Stir Welding of an Aluminum Plate

In friction stir welding, a rotating tool moves along the weld joint and melts the aluminum through the generation of friction heat. The tool’s rotation stirs the melted aluminum such that the two plates are joined. In this model,...

Heated Vertical PlateHeated Vertical Plate

This model shows the application of COMSOL Multiphysics in modeling the non-isothermal flow of gases at relatively low flow velocities. Here, a vertical plate is held at a constant temperature, which is higher than that of the...

Heating CircuitHeating Circuit

Small heating circuits find use in many applications. For example, in manufacturing processes they heat up reactive fluids. The device used consists of an electrically resistive layer deposited on a glass plate. The layer causes Joule...

Thermal Modeling of a Microchannel HeatsinkThermal Modeling of a Microchannel Heatsink

Thermal management has become a critical aspect of today’s electronic systems, which often include many high-performance circuits that dissipate large amounts of heat. Many of these components require efficient cooling to prevent...

Phase ChangePhase Change

This example demonstrates how to model a phase change and predict its impact on a heat transfer analysis. When a material changes phase, for instance from solid to liquid, energy is added to the solid. Instead of creating a temperature...

Thermal Modeling of a Power TransformerThermal Modeling of a Power Transformer

This model describes the temperature distribution in a coil-shaped power transformer which is cooled by forced flow of transformer oil from the bottom. The properties of the oil varies strongly with temperature, making modeling of the...

Shell ConductionShell Conduction

This model simulates a static analysis of heat conduction in a thin conductive shell. This is a benchmark model where the result is compared with a NAFEMS benchmark solution.

Surface Resistor: Thermo-Mechanical AnalysisSurface Resistor: Thermo-Mechanical Analysis

The drive for miniaturizing electronic devices has resulted in today’s extensive use of surface-mount electronic components. An important aspect in electronics design and the choice of materials is a product’s durability and lifetime....

Heat Transfer in a Thin PlateHeat Transfer in a Thin Plate

This example models heat transfer in a thin rectangular metal plate. Because the plate’s thickness is only 1/100 of its length and width, you can simulate the process using a 2D approximation. The plate has a fixed temperature at one...

Thermo-Photo-Voltaic (TPV) CellThermo-Photo-Voltaic (TPV) Cell

This model illustrates an application that maximizes surface-to-surface radiative fluxes and minimizes conductive heat fluxes. A thermo-photo-voltaic (TPV) cell generates electricity from the combustion of fuel and through radiation....

Hepatic Tumor AblationHepatic Tumor Ablation

One method for removing cancerous tumors from healthy tissue is to heat the malignant tissue to a critical temperature that kills the cancer cells. This example accomplishes the localized heating by inserting a four-armed electric probe...

Rapid Thermal Annealing in the Semiconductor Manufacturing IndustryRapid Thermal Annealing in the Semiconductor Manufacturing Industry

In the semiconductor industry, rapid thermal annealing (RTA) is a semiconductor process step used for the activation of dopants and the interfacial reaction of metal contacts. In principle, the operation involves rapid heating of a wafer...

Isothermal and Non-Isothermal Heat ExchangersIsothermal and Non-Isothermal Heat Exchangers

The example concerns a stainless-steel MEMS heat exchanger, which you can find in lab-on-a-chip devices in biotechnology and in microreactors such as for micro fuel cells. This model examines the heat exchanger in 3D, and it involves heat...

Simulation of a Microrobot, 3DSimulation of a Microrobot, 3D

A microrobot's leg, which structurally moves due to the rapid application of heat, is modeled in this example. Heat is generated by an electric current and propagates by conduction through the leg and, due to thermal expansion and...

Heat Transfer in a Surface-Mount Package for a Silicon ChipHeat Transfer in a Surface-Mount Package for a Silicon Chip

All integrated circuits—especially high-speed devices—produce heat. In today’s dense electronic system layouts heat sources are many times placed close to heat-sensitive ICs. Designers of printed-circuit boards often need to...

A 3D Model of a Diesel Particulate FilterA 3D Model of a Diesel Particulate Filter

Several factors influence a diesel particulate filter’s (DPF) efficiency and durability. Important issues include the removal of soot particles from the filter membranes and the influence of thermal stress on the ceramic structure,...

RF-Heated Hot Wall Furnace for Semiconductor ProcessingRF-Heated Hot Wall Furnace for Semiconductor Processing

Furnace reactors are used in the fabrication of semiconductors to grow layers on wafers. These can also be used for epitaxial growth, which is a key technology for fabrication of electrical devices. A silicon carbide growth takes place...

Forced Turbulent Convection Cooling of a Hot PlateForced Turbulent Convection Cooling of a Hot Plate

This example shows how to model forced turbulent convection cooling with COMSOL Multiphysics. Two different approaches are demonstrated. The first one uses the K-epsilon Turbulent Flow interface together with the Heat Transfer...

Turbulent Flow Through a Shell-and-Tube Heat ExchangerTurbulent Flow Through a Shell-and-Tube Heat Exchanger

This model studies a part of a shell-and-tube heat exchanger where hot water enters from above. The cooling medium flows through the tubes that, in this model, impose a constant temperature at the walls. Furthermore, the tubes are assumed...

Natural Convection Cooling of a Vacuum FlaskNatural Convection Cooling of a Vacuum Flask

The following example solves a pure conduction and a free-convection problem in which a vacuum flask holding hot coffee dissipates thermal energy. The main interest is to calculate the flasks cooling power; that is, how much heat it loses...

Tin Melting FrontTin Melting Front

This example demonstrates how to model phase transition by a moving boundary interface according to the Stefan problem. A square cavity containing both solid and liquid tin is submitted to a temperature difference between left and right...

Convective Cooling of a Potcore InductorConvective Cooling of a Potcore Inductor

The inductor is a common component in a variety of electrical devices. Its applications include power transformation and measurements, and it can also be used together with capacitors to create oscillators. In small devices with many...

Disk-Stack Heat SinkDisk-Stack Heat Sink

This problem follows a typical preliminary board-level thermal analysis. First perform a simulation of the board with some Integrated Circuits (ICs). Then, add a disk-stack heat sink to observe cooling effects. Finally, explore adding a...

A Transient Analysis of Freeze-dryingA Transient Analysis of Freeze-drying

Freeze-drying, or lyophilization, is a process for drying heat-sensitive substances such as foods, blood plasma, and antibiotics. The wet substance is frozen and then, through sublimation, ice (or some other frozen solvent) is removed in...

Simulation of Multiphysics Contact in a Power ConductorSimulation of Multiphysics Contact in a Power Conductor

This model illustrates how to implement a multiphysics contact. It models the thermal and electrical behavior of two contacting parts of a switch. The electrical current and the heat flow from one part to the other only through the...

Fluid-Structure Interaction in Aluminum ExtrusionFluid-Structure Interaction in Aluminum Extrusion

In massive forming processes like rolling or extrusion, metal alloys are deformed in a hot solid state with material flowing under ideally plastic conditions. Such processes can be simulated effectively using computational fluid dynamics,...

Heat Transfer, General Introduction, V 4.3bHeat Transfer, General Introduction, V 4.3b

This document show heat transfer capabilities of COMSOL Multiphysics. It is organized in 2 parts: -1- Presentation of all heat transfer features available in COMSOL Multiphysics and its modules. -2- A selection of models including...

Viscous Heating in a Fluid DamperViscous Heating in a Fluid Damper

Fluid dampers are used in military devices for shock isolation and in civil structures for suppressing earthquake-induced shaking and wind-induced vibrations, among many other applications. Fluid dampers work by dissipating the mechanical...

Radiative Heat Transfer in Finite Cylindrical MediaRadiative Heat Transfer in Finite Cylindrical Media

This model uses the Discrete-Ordinates method (DOM) to solve a 3D radiative transfer problem in an emitting, absorbing, and linear-anisotropic scattering finite cylindrical medium. Using the S6 quadrature of DOM leads to faster and more...

Heat SinkHeat Sink

This model is intended as a first introduction to simulations of fluid flow and conjugate heat transfer. It shows you how to: Draw an air box around a device in order to model convective cooling in this box. Set a total heat flux on a...

Power TransistorPower Transistor

In every system where there is conduction of electric current, and where the conductivity of the material is finite, there will be electric heating. Electric heating, also referred to as Joule heating, is in many cases an undesired...

Radiative Heat Transfer in a Utility BoilerRadiative Heat Transfer in a Utility Boiler

This model uses the discrete-ordinates method (DOM) to analyze the radiative heat transfer in a utility boiler with internal obstacles. DOM is one of the most useful radiation models for prediction of radiative heat fluxes on the furnace...

Thermal Bridges in Building Construction—2D Square ColumnThermal Bridges in Building Construction—2D Square Column

This example studies heat transfer in a square column. Cold and hot temperature conditions are applied to the boundaries. Due to the symmetry of the problem, the geometry is simplified to half of the square. The temperature field is...

Thermal Bridges In Building Construction—2D Composite StructureThermal Bridges In Building Construction—2D Composite Structure

This example studies heat transfer in a composite two-dimensional structure. Four materials with distinct thermal conductivities k compose the structure. The top and bottom boundaries are facing environments respectively at 0°C and...

Thermal Bridges in Building Construction—3D Structure Between Two FloorsThermal Bridges in Building Construction—3D Structure Between Two Floors

This model studies the heat conduction in a building structure separating two floors from the external environment. Four materials with distinct thermal conductivities k compose the structure. The exterior and interior boundaries are...

Thermal Bridges in Building Construction—3D Iron Bar Through Insulation LayerThermal Bridges in Building Construction—3D Iron Bar Through Insulation Layer

This model studies the heat conduction in a thermal bridge made up of an iron bar and an insulation layer that separates a hot internal side from a cold external side. The heat flux between internal and external side and the maximum...

ThermophoresisThermophoresis

When a temperature gradient in a gas exists, suspended particles will tend to move from regions of high temperature to low. The force which produces this effect is called the thermophoretic force. Gas molecules colliding with a particle...

Shell-and-Tube Heat ExchangerShell-and-Tube Heat Exchanger

Shell-and-tube heat exchangers are commonly used in oil refineries and other large chemical processes. In this model, two separated fluids at different temperatures flow through the heat exchanger, one through the tubes (tube side) and...

RF Cancer Therapy with Damage IntegralRF Cancer Therapy with Damage Integral

This is a variant on the heat transfer model library model "RF Cancer Therapy" which includes a damage integral calculation to estimate the extent of cancer necrosis. The damage integral is based on an energy-absorption method rather...

Buoyancy Flow in WaterBuoyancy Flow in Water

This example studies the stationary state of free convection in a cavity filled with water and bounded by two vertical plates. To generate the buoyancy flow, the plates are heated at different temperatures, bringing the regime close to...

Composite Thermal BarrierComposite Thermal Barrier

This example shows how to set up multiple sandwiched thin layers with different thermal conductivities in two different ways. First, the composite is modeled as a 3D object. In the second approach the Thin thermally resistive layer...

Condensation Detection in an Electronic DeviceCondensation Detection in an Electronic Device

This example simulates the thermodynamical evolution of moist air in an electronic box with the aim of detecting whether condensation occurs when the external environment properties change. The model imports measured data for the air...

Thermal Contact Resistance Between an Electronic Package and a Heat SinkThermal Contact Resistance Between an Electronic Package and a Heat Sink

This example reproduces parts of the study of Ref. 1 on the thermal contact resistance at the interface between a heat sink and an electronic package. Eight cooling fins equip the cylindrical heat sink and contact is made at the radial...

Papers & Presentations

Tin Melting FrontTin Melting Front

This example demonstrates how to model phase transition by a moving boundary interface according to the Stefan problem. A square cavity containing both solid and liquid tin is submitted to a temperature difference between left and right...

The Use of COMSOL to Solve Hygrothermal Building Physical Problems Related to Insulating High-rise Building FacadesThe Use of COMSOL to Solve Hygrothermal Building Physical Problems Related to Insulating High-rise Building Facades

In the Netherlands, high-rise buildings from 1960 and before were hardly insulated. To improve the thermal performance of these buildings, the facades may be retrofitted with insulating material. Energy losses will be reduced and thermal...