Heat transfer in a pipe with fully developed flow and a stepwise change in wall temperature according to the turbulent transport theory of W. D. Rannie
Plapp, John E.
Master of Science
An analytic study of heat transfer between a pipe wall and a fluid in turbulent flow through the pipe was made. A stepwise temperature distribution of the wall was assumed. The properties of the fluid were taken to be constant, and both dissipation and longitudinal conduction in the fluid were neglected. The mean velocity and the turbulent transport were taken to vary with distance from the wall according to the theory of W. D. Rannie. The energy equation was solved numerically with the aid of a digital computer, to enable the plotting of curves expressing the dependence of local and average Nusselt number on dimensionless distance downstream from the wall temperature discontinuity. Results were obtained for Reynolds numbers ranging from 10to the 4th to 10 to the 6th and Prandtl numbers from 10 to the -3rd to 10to the 3rd.