 Conduction: 1D Theory Formula Home Heat Transfer Overview Conduction 1-D Conduction Electrical Analogy Symbol Definition Convection Forced Convection Free Convection Radiation Glossary Applications Lam. Flow Over Plate Two Body Radiation Resources Bibliography  Login   Home Membership Magazines Forum Search Member Calculators  Materials  Design  Processes  Units  Formulas  Math Steady State 1-Dimensional Heat Conduction For problems where the temperature variation is only 1-dimensional (say, along the x-coordinate direction), Fourier's Law of heat conduction simplies to the scalar equations,  where the heat flux q depends on a given temperature profile T and thermal conductivity k. The minus sign ensures that heat flows down the temperature gradient. In the above equation on the right, represents the heat flow through a defined cross-sectional area A, measured in watts, Integrating the 1D heat flow equation through a material's thickness Dx gives, where T1 and T2 are the temperatures at the two boundaries.
 The R-Value in Insulation In general terms, heat transfer is quantified by Newton's Law of Cooling, where h is the heat transfer coefficient. For conduction, h is a function of the thermal conductivity and the material thickness, In words, h represents the heat flow per unit area per unit temperature difference. The larger h is, the larger the heat transfer Q. The inverse of h is commonly defined as the R-value, The R-value is used to describe the effectiveness of insulations, since as the inverse of h, it represents the resistance to heat flow. The larger the R, the less the heat flow . R is often expressed in imperial units when listed in tables. Conversion to SI-units is provided in the Units Section. To convert R into a thermal conductivity k, we must divide the thickness of the insulation by the R value (or just solve for k from the above equation), Home  Membership  About Us  Privacy  Disclaimer  Contact  Advertise Copyright © 2019 eFunda, Inc.