# Contents of the Exact Analytical Conduction Toolbox

### Heat Equation, 1D Hollow Cylinder

R11B01T0 Hollow cylinder with temperature jump at outer boundary and zero temperature at inner boundary

R11B10T0 Hollow Cylinder, temperature jump at inner boundary and zero temperature at outer boundary

R12B01T0 Hollow cylinder with zero temperature at inner radius and constant heat flux at outer radius

R12B10T0 Hollow Cylinder, temperature jump at inner boundary and zero heat flux at outer boundary

R13B01T0 Hollow cylinder with zero temperature at inner radius and heating through convection at outer radius

R13B10T0 Hollow cylinder with jump in temperature at inner radius and convection at outer radius

R21B01T0 Hollow cylinder insulated at inner radius with a step change in temperature at outer radius

R21B10T0 Hollow cylinder with jump in heat flux at inner radius and zero temperature at outer radius

R22B01T0 Hollow Cylinder, heat flux at outer boundary and insulated at inner boundary

R22B10T0 Hollow Cylinder, zero heat flux at outer boundary and jump in heat flux at inner boundary

R23B01T0 Hollow cylinder with heating through convection at outer surface and insulated at inner surface

R23B10T0 Hollow cylinder with jump in heat flux at inner boundary and convection at outer boundary

R31B10T0 Hollow cylinder with heating through convection at inner radius and constant zero temperature at outer radius

R32B01T0 Hollow cylinder with convection at inner radius and heating through constant heat flux at outer radius

R32B10T0 Hollow cylinder with heating through convection at inner radius and insulated at outer radius

R33B01q01 Hollow cylinder exchanging heat by convection with a fluid at temperature other than zero while transferring a net radiant heat flux at outer boundary, and exchanging heat by convection with another fluid at zero temperature at inner boundary

R33B10q10 Hollow cylinder exchanging heat by convection with a fluid at temperature other than zero while transferring a net radiant heat flux at inner boundary, and exchanging heat by convection with another fluid at zero temperature at other boundary

R33B10T0 Hollow cylinder with convection heating at inner radius and convection cooling at outer radius