Effects of heat generation and axial heat conduction in laminar flow inside a circular pipe with a step change in wall temperature
Conference
Zhang, HY, Ebadian, MA, Campo, A. (1989). Effects of heat generation and axial heat conduction in laminar flow inside a circular pipe with a step change in wall temperature
. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, 110 9-17.
Zhang, HY, Ebadian, MA, Campo, A. (1989). Effects of heat generation and axial heat conduction in laminar flow inside a circular pipe with a step change in wall temperature
. American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD, 110 9-17.
This study analyzes the effect of internal heat generation and axial heat conduction on the convective heat transfer characteristics of laminar flow in a circular tube subjected to a step-change in wall temperature. Additionally, the flow is considered to be hydrodynamically fully developed and contains an internal heat generation density. The temperature field in the circular pipe is obtained analytically/numerically from the energy equation by employing a straightforward approach using the Fourier transform technique. The effects of axial heat conduction and internal heat generation are included in this expression in both the upstream and downstream directions for Peclet numbers ranging from 0 to ∞. By first taking the Fourier transform of the temperature field and expanding the coefficients of the transformed temperature in terms of the Peclet number, the energy equation with discontinuous wall temperature, longitudinal heat conduction, and internal heat generation, is transformed into a set of ordinary differential equations.
