A General Method for Calculating Momentum and Heat Transfer in Laminar and Turbulent Duct Flows

References

• Cebeci , T. and Smith , A. M. O. 1974 . Analysis of Turbulent Boundary Layers , New York : Academic Press .
   Google Scholar
• Keller , H. B. 1970 . “ A New Finite-Difference Scheme for Parabolic Problems ” . In Numerical Solution of Partial-Differential Equations , Edited by: Bramble , J. vol. 2 , New York : Academic Press .
   Google Scholar
• Cebeci , T. July 1977 . Calculation of Laminar and Turbulent Boundary Layers for Two-Dimensional Time-Dependent Flows July , NASA CR-2820
   Google Scholar
• Cebeci , T. , Kaups , K. and Ramsey , J. A. 1977 . A General Method for Calculating Three-Dimensional Compressible Laminar and Turbulent Boundary Layers on Arbitrary Wings NASA CR-2777
   Google Scholar
• Cebeci , T. and Keller , H. B. . Stability Calculations for a Rotating Disk . AGARD Fluid Dynamics Panel Symp. on Laminar-Turbulent Transition, CCP 224 . Copenhagen, Denmark.
   Google Scholar
• Keller , H. B. and Cebeci , T. 1972 . An Inverse Problem in Boundary-Layer Flows: Numerical Determination of Pressure Gradient for a Given Wall Shear . J. Comput. Phys. , vol. 10 : 151 – 161 .
   Web of Science ®Google Scholar
• Cebeci , T. Sept. 1976 . Separated Flows and Their Representation by Boundary-Layer Equations , Sept. , California State Univ. at Long Beach . Mechanical Engineering Dept. Rept. ONR-CR215–234–2
   Google Scholar
• Cebeci , T. and Keller , H. B. . Flows in Ducts by Boundary-Layer Theory . Proc. 5th Australas. Conf. Hydraulics Fluid Mech. . Christchurch, , New Zealand : Univ. of Canterbury .
   Google Scholar
• Tien , C. and Pawelek , R. A. 1964 . Laminar Flow Heat Transfer in the Entrance Region of Circular Tubes . Appl. Sci. Res. , vol. 13 : 317 – 331 .
   Google Scholar
• Na , T. Y. and Habib , I. S. 1973 . Heat Transfer in Turbulent Pipe Flow Based on a New Mixing Length Model . Appl. Sci. Res. , vol. 28 : 302 – 314 .
   Google Scholar
• Habib , I. S. and Na , T. Y. 1974 . Prediction of Heat Transfer in Turbulent Pipe Flow with Constant Wall Temperature . J. Heat Transfer , vol. 96 : 253 – 254 .
   Web of Science ®Google Scholar
• Nelson , R. M. and Pletcher , R. H. 1974 . An Explicit Scheme for the Calculation of Confined Turbulent Flows with Heat Transfer . Proc. 24th Heat Transfer Fluid Mech. Inst. ,
   Google Scholar
• Bradshaw , P. , Dean , R. B. and McEligot , D. M. 1973 . Calculation of Interacting Turbulent Shear Layers: Duct Flow . J. Fluids Eng. , vol. 95 : 214 – 220 .
   Web of Science ®Google Scholar
• Emery , A. F. and Gessner , F. B. 1976 . The Numerical Prediction of the Turbulent Velocities and Temperatures in the Developing Flow between Parallel Plates . J. Heat Transfer , vol. 98 : 594 – 600 .
   Google Scholar
• Cebeci , T. and Bradshaw , P. 1977 . Momentum Transfer in Boundary Layers , Washington : McGraw-Hill-Hemisphere .
   Google Scholar
• Langhaar , H. L. 1942 . Steady Flow in the Transition Length of a Straight Tube . J. Appl. Mech. , vol. 9 : A-55 – 58 .
   Google Scholar
• Campbell , W. D. and Slattery , J. C. 1963 . Flow in the Entrance of a Tube . J. Basic Eng. , vol. 85 : 41 – 45 .
   Google Scholar
• Pfenninger , W. May 1952 . Experiments with Laminar Flow in the Inlet Length of a Tube at High Reynolds Number with and without Boundary-Layer Suction , May , Northrop Corp. . Norair Div. Rept.
   Google Scholar
• Shapiro , A. H. , Siegel , R. and Kline , S. J. . Friction Factor in the Laminar Entry Region of a Round Tube . Proc. 2nd Natl. Congr. Applied Mech. . pp. 733 – 741 .
   Google Scholar
• Whitelaw , J. H. 1963 . Discussion to Paper of Campbell and Slattery . J. Basic Eng. , vol. 85 : 45
   Google Scholar
• Schiller , L. 1922 . Die Entwicklung der laminaren Geschwindigkeitvertielung und ihre Bedeutung für Zahigkeitmessungen . Z. Angew. Math. Mech. , vol. 2 : 96 – 106 .
   Google Scholar
• Rieman , W. 1928 . The Value of the Hagenback Factor in the Determination of Viscosity by the Efflux Method . J. Am. Chem. Soc. , vol. 50 : 46 – 55 .
   Google Scholar
• Swindells , J. F. , Loe , J. R. and Godfrey , T. B. 1952 . J. Res. Natl. Bur. Stand. , vol. 48 : 1
   Google Scholar
• Siegel , R. and Sparrow , E. M. 1959 . Simultaneous Development of Velocity and Temperature Distributions in a Plot Duct with Uniform Wall Heating . AIChE J. , vol. 5 : 73 – 75 .
   Web of Science ®Google Scholar
• Naito , E. 1975 . Laminar Heat Transfer in the Entrance Region between Parallel Plates—The Case of Uniform Heat Flux Heat Transfer . Jpn. Res. , vol. 4 : 63 – 74 .
   Google Scholar
• Bhatti , M. S. and Savery , C. W. 1977 . Heat Transfer in the Entrance Region of a Straight Channel: Laminar Flow with Uniform Wall Heat Flux . J. Heat Transfer , vol. 99 : 142 – 144 .
   Web of Science ®Google Scholar
• Bradshaw , P. , ed. 1976 . Topics in Applied Physics, vol. 12. Turbulence , Heidelberg : Springer .
   Google Scholar
• Barbin , A. R. and Jones , J. B. 1963 . Turbulent Flow in the Inlet Region of a Smooth Pipe . J. Basic Eng. , vol. 85 : 29 – 34 .
   Google Scholar
• Laufer , J. 1954 . The Structure of Turbulence in Fully Developed Pipe Flows NACA Rept. 1174
   Google Scholar
• Laufer , J. 1951 . Investigation of Turbulent Flow in a Two-Dimensional Channel NACA Rept. 1053
   Google Scholar
• Comte-Bellot , G. 1963 . Turbulent Flow between Parallel Walls , Ph.D. thesis France : Univ. of Grenoble . (Also available as ARC 31 609.)
   Google Scholar
• Hussain , A. K. M. F. and Reynolds , W. C. 1975 . Measurements in Fully Developed Turbulent Channel Flow . J. Fluids Eng. , vol. 97 : 568 – 578 .
   Web of Science ®Google Scholar
• Clark , A. J. 1968 . A Study of Incompressible Turbulent Boundary Layers in Channel Flow . J. Basic Eng. , vol. 90 : 455
   Google Scholar
• Byrne , J. , Hatton , A. P. and Marriott , P. G. 1969–1970 . Turbulent Flow and Heat Transfer in the Entrance Region of a Parallel Wall Passage . Proc. Inst. Mech. Eng. , vol. 184 : 697 – 710 .
   Google Scholar
• Dean , R. B. 1972 . Interaction of Turbulent Shear Layers in Duct Flow , Ph.D. thesis London Univ. .
   Google Scholar
• Stephenson , P. L. 1976 . A Theoretical Study of Heat Transfer in Two-Dimensional Turbulent Flow in a Circular Pipe and between Parallel and Diverging Plates . Int. J. Heat Mass Transfer , vol. 19 : 413 – 423 .
   Web of Science ®Google Scholar
• Hall , W. B. and Khan , S. A. 1964 . Experimental Investigation into the Effect of the Thermal Boundary Condition on Heat Transfer in the Entrance Region of a Pipe . J. Mech. Eng. Sci. , vol. 6 : 250 – 255 .
   Web of Science ®Google Scholar
• Reyhner , T. A. and Flugge-Lotz , I. 1968 . The Interaction of a Shock Wave with a Laminar Boundary Layer . Int. J. Non-Linear Mech. , vol. 3 : 173 – 199 .
   Google Scholar