Premium
Transient forced convection in laminar channel flow with stepwise variations of wall temperature
Author(s) -
Cotta R. M.,
Özişik M. N.
Publication year - 1986
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450640504
Subject(s) - laminar flow , nusselt number , mechanics , laplace transform , eigenfunction , forced convection , eigenvalues and eigenvectors , mathematics , heat transfer , dimensionless quantity , combined forced and natural convection , heat flux , transient (computer programming) , mathematical analysis , reynolds number , physics , turbulence , natural convection , quantum mechanics , computer science , operating system
Transient laminar forced convection of Newtonian fluids inside circular ducts and parallel‐plate channels subjected to stepwise variations of wall temperature is considered. Approximate analytical solutions are developed by making use of the generalized integral transform and the classical Laplace transform techniques. Higher order solutions are given for the case of a step change in wall temperature. A second‐order accurate finite‐difference solution is developed to assess the accuracy of the available approximate solutions. The Sign‐Count method is used to solve the resulting eigenvalue problems and determine as many eigenvalues and eigenfunctions as needed. Results are presented for the local Nusselt number, average fluid temperature and the wall heat flux over a wide range of the dimensionless axial coordinate.