### DEGREE-BASED VELOCITY DISTRIBUTION INSIDE FLAT AND ROUND TURBULENT FLOWS

Pages 90 - 95

The authors propose a general method of identification of exponent within the distribution of velocities of round and flat flows. Resulting formulas do not contain any empirical corrections, and they are confirmed by the experimental data.

Resulting degree-based velocity profiles comply with the results of measurements of flat flows, whereas any disagreement between experiment-based points and their analysis-based counterparts do not exceed any acceptable experimental errors.

The practical equivalence of degree-based and logarithmic velocity profiles may serve as a supplementary condition that makes it possible to identify the degree value without the involvement of any empirical corrections.

The degree-based velocity profile of round flows may be calculated according to the expression .\[n=0,9\sqrt{\lambda }\]. or \[n=1,25\sqrt{{{\lambda }_{\text{}}}},\].. the degree-based velocity profile of flat flows is equal to \[n=1,76\sqrt{{{\lambda }_{\text{}}}},\] as both formulas enjoy experimental and theoretical substantiations.

DOI: 10.22227/1997-0935.2012.7.90 - 95

- Schiller L. Dvizhenie zhidkostey v trubakh [Movement of Fluids in Pipes]. ONTI Publ., Moscow, 1936, p. 230.
- Shevelev F.A. Issledovanie osnovnykh gidravlicheskikh zakonomernostey turbulentnogo dvizheniya v trubakh [Investigation of Basic Hydraulic Laws of the Turbulent Flow in Pipes]. Gosstroyizdat Publ., Moscow, 1953, p. 208.
- Nunner W. W?rme?bergang und Druckabfall in rauhen R?hren,VDI Forschungsheft, 1956, no. 45.
- Al‘tshul‘ A.D. Gidravlicheskie poteri na trenie v truboprovodakh [Hydraulic Friction Loss in Pipes]. Moscow-Leningrad, Gosenergoizdat Publ., 1963, 256 p.
- Bryanskaya Yu.V., Markova I.M., Ostyakova A.V. Gidravlika vodnykh i vzvesenesushchikh potokov v zhestkikh i deformiruemykh granitsakh [Hydraulics of Water and Suspension Flows in Rigid and Deformable Boundaries]. Moscow, ASV Publ., 2009, 264 p.
- Loytsyanskiy L.G. Mekhanika zhidkosti i gaza [Fluid and Gas Mechanics]. Moscow, Nauka Publ., 1978, 736 p.
- Bogomolov A.I., Borovkov V.S. Mayranovskiy T.G. Vysokoskorostnye potoki so svobodnoy poverkhnost’yu [High-speed Flows with Free Surface]. Moscow, Stroyizdat Publ., 1979, p. 344.
- Skrebkov G.P. Parashchenko I.E. O velichine postoyannykh logarifmicheskogo profilya skorosti pri dvizhenii potoka mezhdu gladkimi stenkami [The Value of the Permanent Logarithmic Velocity Profile of the Flow between Smooth Walls]. Izvestiya vuzov. Stroitel’stvo i arkhitektura [Bulletin of Institutions of Higher Education. Construction and Architecture]. Novosibirsk, 1983, no. 2, pp. 88—92.
- Skrebkov G.P. O gidravlicheskom soprotivlenii rusel ploskomu potoku [About Hydraulic Resistance of Watercourses to Flat Flows]. Proceedings of VNIIG named after B.E. Vedeneeva, 1981, vol.145, pp. 87—92.
- Skrebkov G.P., Parashchenko I.E. Issledovanie kinematicheskoy struktury potoka i pristennogo treniya v trapetseidal’nykh kanalakh so stenkami odinakovoy i raznoy sherokhovatosti [Investigation of the Kinematic Structure of the Flow and Wall Friction in the Trapezoidal Channel with the Walls of Identical and Different Roughnesses]. Vodnye resursy [Aquatic Resources]. 1989, no. 2, pp. 91—96.
- Laufer J. Investigation of Turbulent Flow in a Two-Dimensional Channel. NACA, Rep. 1053, 1951, pp. 1—33.
- Subbotin V.N. Issledovanie osrednennykh gidrodinamicheskikh kharakteristik turbulentnogo potoka v pryamougol’nom kanale [The Study of Averaged Hydrodynamic Characteristics of the Turbulent Flow in a Rectangular Channel]. Obninsk, Institute of Physics and Power Engineering, Preprint, 1973, no. 455.