Microelectronics Heat Transfer Laboratory

## Circuit boards

**Effective conductivity model for rectangular heat sources**

This model predicts effective conductivity from a rectangular heat source, based on the composition of the substrate and boundary conditions on the source.

About: Circuit boards[pdf], Circuit boards [pdf]

Link to the Effective conductivity model for rectangular heat sources.

## Fluid properties

**Thermal fluid properties calculator**

Properties of air, Ar, N_{2} and H_{2} calculated based on correlations developed by Frank McQuillan. Properties of CO_{2}, H_{2}O(*l*) and the ethylene glycols are based on the correlations developed by Tom Lemczyk. The calculator takes the temperature of the fluid as input and outputs an array of properties at 1 atm.

About: Fluid properties [pdf], Fluid properties [pdf]

Link to the Thermal fluid properties calculator.

## Heat sinks

**Natural convection model for circular and square-finned annular heat sinks**

Based on the Ph.D. research of C.S. Wang, this model predicts heat transfer from natural convection horizontal annular heat sinks. The online model incorporates both fin efficiency and radiation functions.

About: Circular heat sinks [pdf], Circular heat sinks [pdf]

Link to the Natural convention model for circular and square-finned annular heat sinks.

**Natural convection for rectangular heat sinks**

This model predicts heat transfer from natural convection rectangular heat sinks. The online model incorporates a fin efficiency function, and allows for both single and back-to-back configurations.

About: Rectangular heat sinks [pdf], Rectangular heat sinks [pdf]

Link to the Natural convection model for rectangular heat sinks.

## Special functions

**Special functions calculator**

Calculates special mathematical functions, including Gaussian error and complementary error functions, gamma functions, and Bessel functions of integer or fractional order.

Link to the Special functions calculator.

## Spreading resisitance

**Spreading resistance calculator for circular sources on compound and isotropic disks**

Calculates the thermal spreading resistance for a circular source on an isotropic and two-layer circular disk, semi-infinite circular cylinder, or half space.

About: Circular resistance on compond and isotropic disks[pdf], Circular resistance on compound and isotropic disks[pdf], Circular resistence on compund and isotropic disks[pdf]

Link to the Resistance calculator for circular sources on compound and isotropic disks.

**Spreading resistance of a circular source on a circular disk with edge cooling**

Calculates the thermal spreading resistance for a circular isoflux, parabolic or equivalent isothermal heat source on an isotropic circular disk, where the convection on the bottom and edges are described by two different heat transfer coefficients.

About: Circular resistance on circular disk with edge cooling [pdf], Circular resistance on circular disk with edge cooling [pdf], Circular resistance on circular disk with edge cooling [pdf]

Link to the Resistance of a circular source on a circular disk with edge cooling.

**Spreading resistance calculator for isoflux rectangles and strips on compound flux channels**

Calculates two- and three-dimensional thermal spreading resistance for isoflux rectangular and strip sources on an isotropic and two-layer rectangular disk, a semi-infinite rectangular cylinder, or half space.

About: Rectangle resistance on compound flux channels [pdf], Rectangle resistance on compound flux channels [pdf], Rectangle resistance on compound flux channels [pdf], Rectangle resistance on compound flux channels [pdf], Rectangle resistance on compound flux channels [pdf]

Link to the Resistance calculator for isoflux rectangles and strips on compound flux channels.

**Spreading resistance of rectangular disk with edge cooling**

Calculates the thermal spreading resistance for a square isoflux heat source on an isotropic square disk, where the convection on the bottom and edges are described by two different heat transfer coefficients.

About: Resistance of rectangular disk with edge cooling [pdf], Resistance of rectangular disk with edge cooling [pdf]

Link to the Resistance calculator of rectangular disk with edge cooling.