Heat Transfer Knowledge and Engineering

The following are links to heat transfer related resources, equations, calculators, design data and application.

Heat transfer is a study and application of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy and heat between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

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Heat Transfer Equations and Calculators
	Advances in Heat Transfer - The serial publication “Advances in Heat Transfer” is designed to fill the information gap between the regularly scheduled journals and university level textbooks.
	Thermal Conductivity Theory, Properties, and Applications Premium resource membership
	Grashof Number (GR) The Grashof number is used to determine the heat transfer coefficient under free convection conditions. It is basically a ratio between the buoyancy forces and viscous forces.
	Heat Transfer, A Practical Approach - Heat transfer is a basic science that deals with the rate of transfer of thermal energy.
	Heat and Thermodynamics 341 pages, Premium Membership Required
	Hemispherical Emissivities of Various Surfaces Table - emissivities of various surfaces at several wavelengths and temperatures.
	Heat Loss Through Enclosure Walls Equations and Calculator Determine required wall thickness of an enclosure for temperature control and insulation requirements. Known Design Data: Size (thickness) of insulated enclosurewalls and inside and external surface temperatures
	Heat Loss Through a Wall Equation and Calculator Determine the steady state heat loss through a single wall.
	Heat Loss or Gain From Pipe Excel Spreadsheet Calculator
	Heat Loss through Aluminum Framed Window Equations and Calculator Design equations and calculator example Heat Loss through Aluminum Framed Window.
	Heat Loss through a Single-Pane Window Equation and Calculator Assumptions 1 Heat transfer through the window is steady since the surface temperatures remain constant at the specified values. 2 Heat transfer through the wall is one-dimensional since any significant temperature gradients will exist in the direction from the indoors to the outdoors. 3 Thermal conductivity is constant.
	Heat Loss through a Double-Pane Window Equation and Calculator A double-pane window is considered. The rate of heat transfer through the window and the inner surface temperature are to be determined.
	Heat Transfer Convection for Straight Fin Equations and Calculator
	Conduction-Rectangular Coordinates Calculation Example Conduction - Rectangular Coordinates example calculation
	Conductive Heat Transfer Parallel Cylinders Equation and Calculator Conductive Heat Transfer of A row of equally spaced parallel isothermal cylinders buried in a semi-infinite medium (L >>D, z and w >1.5D)
	Conductive Heat Transfer Cylinder of Length Equation and Calculator Conductive Heat Transfer of Circular isothermal cylinder of length L in the midplane of an infinite wall (z > 0.5D)
	Conductive Heat Transfer Square Solid Equation and Calculator Conductive Heat Transfer of Circular isothermal cylinder of length L at the center of a square solid bar of the same length
	Conductive Heat Transfer Eccentric Cylinder Equation and Calculator Conductive Heat Transfer of Eccentric circular isothermal cylinder of length L in a cylinder of the same length (L > D2).
	Conductive Heat Transfer Large Plane Equation and Calculator Conductive Heat Transfer of Large plane wall equation and calculator.
	Conductive Heat Transfer of a Cylindrical Pipe or Layer Equation and Calculator Q = Rate of Steady State Heat Conductivity (W) S = Conduction Shape Factor (ft) which has the dimension of length, and k is the thermal conductivity of the medium between the surfaces. The conduction shape factor depends on the geometry of the system only.
	Guide Manual of Cooling Methods for Electronic Equipment. Bureau of Ships Navy Department, 224 Pages, Free Membership Minimum Required to view Document/Book
	Heat loss from an insulated pipe calculations video This video solves a typical problem of determining the heat loss from an insulated pipe.
	Overall Heat Transfer Coefficient Development of a mathematical expression for overall heat transfer coefficient that includes conduction and convection Video.
	Conductive Heat Transfer of a Isothermal sphere buried in a semi-infinite medium Conductive Heat Transfer of a Isothermal sphere buried in a semi-infinite medium at T₂ whose surface is insulated
	Conductive Heat Transfer of a Spherical Layer Equation and Calculator Conductive Heat Transfer of a spherical layer equation and calculator
	Conductive Heat Transfer of a Disk buried parallel to the surface Conductive Heat Transfer of a Disk buried parallel to the surface in a semi-infinite medium (z >> D)
	Conductive Heat Transfer of the edge of two adjoining walls of equal thickness Conductive Heat Transfer of the edge of two adjoining walls of equal thickness
	Conductive Heat Transfer Corner of three walls equal thickness equation and calculator Conductive Heat Transfer of a Corner of three walls of equal thickness equation and calculator
	Conductive Heat Transfer Isothermal sphere buried medium equation and calculator Conductive Heat Transfer of a Isothermal sphere buried in a semi-infinite medium equation and calculator
	Steady State Conduction Multi layer Cylinder Calculation Equation and calculator temperature on one side of an isothermal constant temperature multilayer cylinder.
	Heat Loss From an Insulated Electric Wire Equation and Calculator Heat transfer is steady since there is no indication of any change with time
	Maximum Power Dissipation of a Transistor Equation and Calculator Assumptions: 1 Steady operating conditions exist. 2 The transistor case is isothermal at 85°C.
	Heat Loss of Two Cylinders at Known Separation Equation Steady State Rate of Heat Loss of Two Cylinders at Known Separation Equation and Calculator. Two parallel isothermal cylinders placed in an infinite medium (L >>D 1 , D 2 , z)
	Isothermal cylinder of length L buried in a semi-infinite medium calculator Steady State Rate of Heat Loss of Isothermal Cylinder. Isothermal cylinder of length L buried in a semi-infinite medium (L >>D and z >1.5D)
	Emissivity of Surface Table gives the emittance of various surfaces and emphasizes the variation possible in a single material.
	Heat Loss of cylinder buried in medium equation and calculator. Heat Loss of cylinder buried in a semi-infinite medium equation and calculator. Vertical isothermal cylinder of length L buried in a semi-infinite medium (L >>D)
	Linear Thermal Expansion Equation and Calculator Linear expansion is the change in length as opposed to change in volume. To a first approximation, the change in length measurements of an object due to thermal expansion is related to temperature change by a "linear expansion coefficient".
	Extruded ( Finned )Heat Sink Radiation Formulae Equation to calculate the radiation from an extruded (finned) heat sink.
	Selecting a Heat Sink for a Transistor Equation and Calculator Assumptions: 1 Steady operating conditions exist. 2 The transistor case is isothermal at 90°C. 3 The contact resistance between the transistor and the heat sink is negligible.
	Forced Air Flow Convection Cooling. Fan Air Flow Required for Heat Sinking Formulas and Calculator. Forced air cooling with a fan of electronic components is often required over the heat transfer provided by natural convection cooling.

	Heat Loss from a Pipe Equation and calculator will determine the heat loss through a bare pipe
	Minimum Duct Insulation R-Value, Cooling and Heating-Only Supply Ducts and Return Ducts
	Minimum Pipe Insulation Thickness, in. per. ASHRAE Table, Formula and Calculator
	Heat Radiation of a Surface Calculator Heat Radiation of a Surface Calculator
	Estimating Junction Heat Transfer and Temperature of a Transistor Equation and Calculator
	Fan And Ventilation Requirements Procedure, Equations and Calculator. This webpage describes basic methods of selecting typical ventilation and cooling products based on their use and provides and example calculation and calculator.
	General Ventilation Rates Table Listed below are general ventilation rates for some common applications. Where more than one method is shown use the method that results in the higher airflow rate.
Heat Transfer Application
	APM® Alloy Heating Tubes Review APM is iron-chromium-aluminium (Fe-Cr-AI) powder metal alloy
	Bayonet Heating Elements Review Constructed with inline configurations and have electrical plugin "bayonet" connector to facilitate quick installation and removal.
	Coefficients Linear Thermal Expansion Thermal expansion is the tendency of matter to change in volume in response to a change in temperature, through heat transfer.
	Coil Heating Elements Review Heating elements work by converting electricity into heat energy, are rated in watts, however heat energy transfer varies by design.
	Compression Tension Stress Linear Thermal Expansion Equation and Calculator Compression or Tension Stress is the change in stress due to the material expansion by the change of temperature.
	Insulation Blanket Applications and Capabilities Overview When selecting the appropriate material for an insulation application, material galvanic capabilities, temperature range, and installation requirements should be understood
	Insulation Material Thermal Conductivity Chart Various Insulation Material Thermal Conductivity Table
	Heat Loss through a Insulated Pipe Equation and Calculator 1 Heat transfer is steady since there is no indication of any change with time. 2 Heat transfer is one-dimensional since there is thermal symmetry about the centerline and no variation in the axial direction. 3 Thermal conductivities are constant. 4 The thermal contact resistance at the interface is negligible.
	Heat Losses From Bare and Insulated Pipe Heat Loss in Btu/h/ft Length of Fiberglass Insulation and Bare Pipe, ASJ Cover 150??F Temperature of Pipe Horizontal
	Heat Loss from Pipe Outdoors Heat Loss from Piping Chart For Piping Intended to Be Installed Outdoors
	Heat Loss Insulated Pipe Equation and Calculator Equation and calculator will determine the conductive heat loss through a cylinder or pipe wall insulation.
	Heat Transfer Coefficient Calculations This Worksheet will allow you to calculate heat transfer coefficients (h) for convection situations that involve internal flow in a tube of given cross-section. Premium membership required
	Ribbon Heating Elements Review Ribbon coil heating elements
	Rod Heating Elements Review Rod Heating Elements are cylindrical heating components of various lengths
	Thermal Energy Created by the Human Body he body is a heat engine. It converts chemical energy of the food consumed into both heat to sustain metabolism and work.
	Thermal Properties of Common Building Materials The materials' thermal properties govern the rate of heat transfer between the inside and outside of the building, the amount of heat that can be stored in the material.
Convection Heat Transfer
	Convective Heat Transfer Coefficients Table Chart Convective Heat Transfer Coefficients Table Chart
	Heat Sink Convection with Fins Calculator Fins are used to increase heat transfer area and provide a cooling effect.
	Convection of Known Surface Area Calculator Convection of mass cannot take place in solids, since neither bulk current flows nor significant diffusion can take place in solids.
	Vertical Plate Natural Convection Equation and Calculator
	Overall coefficient of heat transfer U of the wall calculator
	Overall Heat Leakage Coefficient Test Procedure, Equation and Calculator Heat Leakage Test requirements Refrigeration System Design Equations and Calculator Per. MIL-PRF-3201
	Net Refrigeration Capacity System Design Equations and Calculator Per. MIL-PRF-32017
	Isothermal Square Rod Forced Air Convection Equation and Calculator
	Isothermal Circular Rod Forced Air Convection Equation and Calculator
	Convective Heat Transfer Convection Equation and Calculator is the transfer of heat from one place to another by the movement of fluids
	Vertical Parallel Plates Channel Natural Convection Equation and Calculator
	Natural Convection of a Horizontal Concentric Cylinders Equation and Calculator
	Convection Heat Transfer Coefficients Equations and Calculators Simplified relations for natural convection heat transfer coefficients for various geometries in air at atmospheric pressure for laminar flow conditions.
	Horizontal Plate Isothermal Heated Natural Convection Equation and Calculator
	Horizontal Heated Plate Facing Up Isothermal Natural Convection Equation and Calculator
	Natural Convection of a Horizontal Cylinder Equation and Calculator
	Overall Heat Transfer Coefficient Overall Heat Transfer Coefficient Equation
	Convection Heat Transfer Convection Heat Transfer calculation example
	Forced Convection Heat Transfer Printed Circuit board with Components Equation
	Flat Plate heat transfer coefficient and heat convected equation and calculator
	Round Duct Heat Transfer Coefficient and Wall Temperature Equation and Calculator
	Forced Convection Entry Region Circular Pipe / Tube Equation and Calculator
Radiant Heat Transfer
	Thermal Radiation Radiant heat transfer involves the transfer of heat by electromagnetic radiation that arises due to the temperature of a body
	Black Body Radiation A body that emits the maximum amount of heat for its absolute temperature is called a black body.
	Emissivity and Heat Transfer Emissivity Equation
	Radiation Configuration Factor Radiative heat transfer rate between two gray bodies equation.
	Radiant Heat Exchange Parallel Flat Black Plates of Equal Size equation and calculator.
	Radiant heat exchange for two parallel flat black plates of different sizes equation and calculator.
	Solar Radiation Incident on the Surface of Earth Hourly variation of solar radiation incident on various surfaces and the daily totals throughout the year at 40?? latitude
	Radiant heat exchange for two parallel disks same size equations and calculator
	Radiant heat exchange for two perpendicular surfaces same size equation and calculator
Heat Transfer Terminology
	Heat and Temperature Temperature is a measure of the amount of energy possessed by the molecules of a substance.
	Heat and Work Energy terms heat and work both represent energy in transition
	Modes of Transferring Heat Heat is always transferred when a temperature difference exists between two bodies.
	Heat Flux Heat Flux equation - The rate at which heat is transferred
	Thermal Conductivity Heat transfer characteristics of a solid material are measured by a property called the thermal conductivity (k) measured in Btu/hr-ft-°F.
	Thermal Diffusivity Table is the thermal conductivity divided by density and specific heat capacity at constant pressure.
	Prandtl Number - The relative thickness of the velocity and the thermal boundary layers
	Dynamic Viscosity In fluid flow and heat transfer studies, the ratio of dynamic viscosity to density appears frequently.
	Log Mean Temperature Difference Temperature change between two fluids across the heat exchanger is best represented by the log mean temperature difference
	Convective Heat Transfer Coefficient Convective heat transfer coefficient is sometimes referred to as a film coefficient
	Overall Heat Transfer Coefficient Overall Heat Transfer Coefficient Equation
	Bulk Temperature Fluid temperature (Tb), referred to as the bulk temperature, varies according to the details of the situation.
	Water Boiling Graph Curve at 1 Atmosphere Typical Water Boiling Graph Curve at 1 Atmosphere
Conduction Heat Transfer
	Conduction and Heat Transfer Conduction involves the transfer of heat by the interaction between adjacent molecules of a material.
	Equivalent Resistance Method Equivalent Resistance Method equation and calculation example
	Electrical Analogy Heat Transfer Electrical Analogy Heat Transfer equation and calculation
	Conduction Through a Uniform Material Calculator
	Conduction-Cylindrical Coordinates Heat transfer across a rectangular solid is the most direct application of Fouriers law.
	Overall U-factors (heat transfer coefficients) for various windows and skylights Overall U-factors (heat transfer coefficients) for various windows and skylights in W / (m 2 ?? ??C)
	Interior and Exterior Surface Heat Transfer Coefficients Equations for Windows Heat transfer through a window is also affected by the convection and radiation heat transfer coefficients between the glass surfaces and surroundings.
	Heat Loss from Ducts in a Building Equation and Calculator Heat Loss from Ducts in a Building Equation and Calculator and cost of energy lost.
	Heat Conduction through a Wall Equation and Calculator Heat Conduction through a wall equations and calculator.
	Steady State Conduction Multi layer Isothermal Walls Calculation Steady State Conduction Multilayer Isothermal Walls Calculation and equation
	Thermal Conductivity Conversions Calculator Conversions Factors for Thermal Conductivity Unit
	Thermal Conductivity of Gases Table of thermal conductivity of gases as a function of temperature.
	Thermal Conductivity of Common Metals and Alloys Table gives typical values of thermal several common commercial metals and alloys.
	Thermal Conductivity Common Liquids Thermal Conductivity of Liquids Table
Heat Exchangers
	Heat Exchangers Transfer of heat is usually accomplished by means of a device known as a heat exchanger.
	Parallel and Counter-Flow Designs Parallel and Counter Flow heat exchanger Designs
	Non-Regenerative Heat Exchanger The non-regenerative application is the most frequent and involves two separate fluids.
	Regenerative Heat Exchanger Regenerative heat exchanger typically uses the fluid from a different area of the same system for both the hot and cold fluids.
	Cooling Towers Typical function of a cooling tower is to cool the water of a steam power plant by air that is brought into direct contact with the water.
	Log Mean Temperature Difference Application to Heat Exchangers To solve certain heat exchanger problems, a log mean temperature difference or must be evaluated.
	Overall Heat Transfer Coefficient Overall Heat Transfer Coefficient Across Heat Exchanger Tubes Equation
	Overall Heat Transfer Coefficients in Heat Exchangers Representative values of the overall heat transfer coefficients in heat exchangers.
	Empirical correlations for the average Nusselt number for forced convection over a flat plate and circular and noncircular cylinders in cross flow
Heat Transfer Engineering Reference Data
	Thermal Properties of Metals
	Thermal Properties of NonMetals
	Saturated Liquids Thermal Properties
	Properties of air at 1 atm pressure Engineering properties of air at 1 atm pressure
	Thermal contact conductance of some metal surfaces in air (from various sources) table
	Thermal Properties of Gases
	Unit thermal resistance (the R-value) of common components used in buildings
	Unit thermal resistances (R-values) of well-sealed air spaces (from ASHRAE Handbook of Fundamentals, Ref. 1, Chap. 22, Table 2)
	Saturation pressure of water at various temperatures
	Boiling and freezing point properties of selected substances
	Thermal Properties of insulating materials (at a mean temperature of 24°C)
	Combined natural convection and radiation thermal resistance of various heat sinks used in the cooling of electronic devices between the heat sink and the surroundings. All fins are made of aluminum 6063T-5, are black anodized.
	Thermal Linear Expansion of AISI 303 Stainless Steel AISI 303 stainless steel, which is a modification of the basic 18-8 austenitic stainless steel, contains higher amounts of phosphorous (0.20% max) and sulfur (0.15% min.).
	Heat Transfer and Evaporation Book General Theory of Heat Transmission - Conduction General Theory of Heat Transmission - Radiation Heat Transfer by Convection - General Heat Transfer Between Solids and Gases Heat Transfer Between Solid and Liquids
	Heat and Thermodynamics, 684 Pages, Mark W. Zemansky, Ph.D. Membership (Minimum free) Required to view Document/Book
	Time to Freeze Outdoor / Indoor Piping Formulas and Calculator It is important to recognize that insulation reduces heat flow however it does not stop it completely. Piping located outdoors, or indoors in unheated areas, is subject to freezing. This is especially true for pipe systems containing standing water. Insulation will delay but not prevent freezing of still water or water flowing at a rate insufficient for the available heat content to offset the heat loss.
$Thermal Conductivity of Refractory Materials$	Thermal Conductivity of Refractory Materials, 108 Pages, Pustovalov, V.V. Premium membership required
Misc Heat Transfer resources Anti Freeze Ethylene Glycol Freezing and Boil Temperatures Bar Restrained Against Lengthwise Thermal Expansion Calculator and Equations Bar Restrained Against One End and Gap on Other Stress and Force Calculator and Equations Bar Restrained With Spring Uniform Heat Applied Calculator Two Bars At Different Temperatures Stress Calculator and Equations Benedict-Webb-Rubin PVT Formula and Calculator Brinkman Number Equation and Calculator Building Sensible Heat Thermal Load with Air Exchange Calculator Changeover (Balance) HVAC Temperature Calculator Heat Loss by Free Convection from a Horizontal Pipe Formula and Calculator Glass or Frame Condensation Resistance Factor (CRF) or Temperature Index (I) Calculator Viscosity of Aqueous Solutions of Ethylene Glycol Antifreeze Inhibited Aqueous Solutions Ethylene Glycol Antifreeze Density Specific Heat of Aqueous Solutions of Propylene Glycol Thermal Conductivity of Aqueous Solutions of Propylene Glycol Viscosity of Aqueous Solutions of Propylene Glycol Convective Heat Gain from Unhooded Electric Appliances During Idle (Ready-to-Cook) Conditions Eckert Number Equation and Calculator Emittance Data of Commonly Used Materials Effective Thermal Conductivity of Composite Solids Formula and Calculator Emissivity of Surface Table Vaporization Rate from a Liquid Surface Equation and Calculator Concentration of Vaporized Liquid in Ventilated Space Equation and Calculator Steady State Fenestration Heat Energy Flow and Loss Food Product Cold Storage Data Fourier's Law for Insulation Formula Flammability and Combustibility of Selected Gas and Compounds Freezing Point and Properties of Foods The following is the Unfrozen Composition Data, Initial Freezing Point, and Specific Heats of Foods Freezing Times for Food Using Plank's Equation Floating Bearing Shaft Length Design and Calculator Fuel Gas and Heating Values Heat Loss From House or Building Heat Loss from Bare Copper Tube to Still Air at 80°F, Btu/h· ft Heat Loss from Bare Steel Pipe to Still Air at 80°F, Btu/h· ft Heat Gain or Loss HVAC Duct ASHRAE Formula and Calculator. All HVAC ducts exposed to outdoor conditions, as well as those passing through unconditioned or semi-conditioned spaces, should be insulated. Heat Gain from Typical Electric Motors Heat Gain from Lighting - The energy emitted by lighting and then absorbed by the structure and contents contributes to space cooling load only after a time lag, some still re radiatingafter the heat sources have been switched off. Heat Gain from Motors and their Loads Formula and Calculator Instantaneous rate of heat gain from equipment operated by electric motors within a space. Heats of Combustion for Common Compounds Heat Transfer Coefficient for Condensation Formula and Calculator Heating Capacity of a Radiator Formula and Calculator Humidity Ratio of Air Humidity ratio W is the ratio of the mass of water vapor to the mass of dry air: Amount of Heat Required to Increase the Temperature of Reservoir Formula and Calculator Humidification Humidifier Load Calculations and Calculator Moisture Removal or Addition by HVAC Latent Energy Load Calculator Mean Radiant Temperature Formula and Calculator This is the uniform temperature of an imaginary black enclosure in which an occupant would exchange the same amount of radiant heat as in the actual nonuniform enclosure. Metabolic Rate Energy Burned Calculator and Formulas for Humans Radiative Heat Transfer Coefficient of a Human Calculator Thermal Conductivity of Soils and Rocks Thermal Expansion of Metal Pipe Temperature changes cause dimensional changes in all materials. Table 1.0 shows the coefficients of expansion for metallic piping materials. For systems operating at high temperatures, such as steam and hot water, the rate of expansion is high, and significant movements can occur in short runs of piping. Water Vapor Saturation Pressure Formulas and Calculator Increasing temperature of liquid (or any substance) enhances its evaporation that results in the increase of vapor pressure over the liquid. Vapor Saturation Pressure Over Ice Formulas and Calculator The saturation (sublimation) pressure over ice for the temperature range of –148 to 32°F Relative Humidity Calculator and Equation Relative Humidity and Weight per Cubic Foot Volume of Air Restrained Rectangular Beam, Different Face Temperatures Calculator and Equations Three Bars at Different Temperatures Calculator and Equations for Stress Restrained Plate, Uniformly Heated Stress Calculator and Equations Partially Restrained Square Plate in Frame, Uniformly Heated Stress Calculator and Equations Partially Restraint of a Uniformly Heated Rectangular Plate Stress Calculator and Equations Pipe Restrained Longitudinal Stress Components Stress Calculator and Equations per. ASME B31.9 Solid with Spherical Inclusions Effective Thermal Conductivity Equation and Calculator Specific Heat Capacity Table at Room Temperature Specific heat capacity c is the change in heat (energy) of a unit mass of material for a unit change of temperature in Btu/lb·°F or Btu/(lbm-°R) Static Temperature Versus Total Temperature Formula and Calculator When a fluid stream impinges on a temperature-sensing element such as a thermometer or thermocouple, the element is at a temperature greater than the true stream temperature. Standard Atmospheric Data for Altitude and Temperature The standard atmosphere gives a standard of reference for estimating properties at various altitudes. Stanton Number Equation and Calculator Steam Enthalpy Quality and Volume Fraction of the Condensate can be estimated from: Temperature and Pressure Data for Refrigerants Thermal Expansion or Contraction of Piping Materials Carbon and Low Alloy High Tensile Steel and Wrought Iron per. ASME B31.8 Thermal Conductivity of Aqueous Solutions of Antifreeze Ethylene Glycol Water Vapor Released by Human Activity and Plants Estimating moisture loads requires knowledge of occupancy patterns and releases per individual, activity, plant, and water surface present. Water-Cooled Condenser Flow Requirements Calculator Wet and Dry Steam Mass and Volume Fraction Calculator Steam is a gaseous form of water-air vapor and there are two forms, wet steam and dry steam. Temperature Rise Across Fan Calculator Thermal Resistance of Floor Coverings Thermodynamic Functions, Typical Symbols and Units