COMBINED FORCES AND FREE TURBULENT CONVECTION IN A VERTICAL TUBE (thesis). Technical Report No. 12

Technical Report · Mon Jan 01 04:00:00 EST 1962

OSTI ID:4802931

Ojalvo, M S; Grosh, R J

An analytical study was made of turbulent heat transfer in a vertical circular tube under the conditions of combined forced and free convection with uniform wall heat flux. The basic conservation laws were reduced to three coupled, linear integro-differential equations in which the parameters are: Prandtl number, Pr; Rayleigh number, Ra; and friction Reynolds number, Re*. The following values of these parameters were investigated: Pr = 1, 10, 100; Ra == 10/ sup 4/, 10/sup 5/. The IBM 704 digital computer was used to solve the three equations for the fully developed velocity profile, temperature profile, and pressure drop. An extension of these resuits yielded the mixed-mean-to-wall temperature difference, Nusselt number, and Reynolds number for a given problem. The results for turbulent heat transfer, combined forced and free convection problems showed that the pressure drop parameter, C, and the Nusselt number, Nu, increase by approximately an order of magnitude as Re* increases from 0 to l0/sup 3/ to 10/sup 4/ to 10/sup 5/. The prandtl number, Pr, has a smaller effect on C and Nu, decreasing Editor please delete 10149

• Research Organization: Purdue Univ., Lafayette, Ind.
• NSA Number: NSA-16-010149
• OSTI ID: 4802931
• Report Number(s): TID-15016
• Country of Publication: United States
• Language: English

Related Subjects

COMPUTERS
CONVECTION
CYLINDERS
DIAGRAMS
DIFFERENTIAL EQUATIONS
DIGITAL SYSTEMS
EFFICIENCY
ENGINEERING AND EQUIPMENT
FLUID FLOW
HEAT TRANSFER
HEATING
IBM 704
MATHEMATICS
NUSSELT NUMBER
PRANDTL NUMBER
PRESSURE
RAYLEIGH NUMBER
REYNOLDS NUMBER
STANDARDS
SURFACES
TEMPERATURE
TUBES
TURBULENCE
VELOCITY