An algorithm of velocity field evaluation via temperature field measurement on the basic of streamline-defined coordinates

• Autorzy: Leble S. , Shaban M.

Identyfikatory

DOI

10.17466/tq2017/21.3/m

• Języki publikacji: EN

Abstrakty

EN

A new algorithm is presented for evaluating the velocity field of the heat convection flow from a vertical solid flat plate using the temperature field. Using the coordinate transformation of Cartesian coordinates, to coordinates defined via streamlines, and visible in such coordinate approximations, it is possible to express the basic flow fields in terms of the temperature gradients only. After discretization we formulate approximated sufficient finite-difference formulas to evaluate the velocity field using the experimental data.

Słowa kluczowe

EN

free convective heat transfer; isothermal surface; numerical analysis; natural convection; streamline coordinate system

PL

ciepło konwekcyjne; przepływ ciepła; powierzchnia izotermiczna; analiza numeryczna; konwekcja naturalna; transformacja współrzędnych

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2017
• Tom: Vol. 21, No 3
• Strony: 247--259
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Leble S.

• Department of Atomic, Molecular and Optical Physics, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland
• Institute of Physics, Mathematics and IT, Immanuel Kant Baltic Federal University
• Department of Mathematics Faculty of Science, Fayoum University

autor

Shaban M.

• Department of Atomic, Molecular and Optical Physics, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland
• Institute of Physics, Mathematics and IT, Immanuel Kant Baltic Federal University
• Department of Mathematics Faculty of Science, Fayoum University

Bibliografia

• [1] Bodia J R and Osterle J F 1962 J. Heat Transfer 84 40
• [2] Churchill S W and Chu H H 1975 Int. J. Heat Mass Transfer 18 1323
• [3] Martynenko G, Berezovsky A A and Sokovishin Y A 1984 Int. J. Heat Mass Transfer 27 (6) 869
• [4] Shapiro A and Fedorovich E 2004 Int. J. Heat mass transfer 47 4911
• [5] Hellums J D and Churchill S W 1962 AIChE J. 8 (5) 690
• [6] Vynnycky M and Kimura S 1996 Int. J. Heat Mass Transfer 39 (5) 1067
• [7] Leble S and Lewandowski W 2012 On the analytical solution of stationary two-dimensional boundary problem of natural convection, arXiv:1210.5529 [physics.flu-dyn]
• [8] Leble S and Lewandowski W 2013 An approximate analytical solution of free convection problem for vertical isothermal plate via transverse coordinate Taylor expansion, arXiv:1307.1921v1 [physics.flu-dyn]
• [9] Lewandowski W, Ryms M, Denda H and Klugmann-Radziemska E 2014 Int. J. Heat Mass Transfer 78 1232
• [10] Marinet F and Tardu M 2009 Convective heat transfer: solved problems, Sedat Wiley InterScience (online service)
• [11] Leble S and Lewandowski W 2017 The study of temperature field impact on the velocity of a fluid in the vicinity of boundaries in free convection problem, arXiv: 2050389 [physics.flu-dyn]
• [12] Faghri A, Zhang Y and Howell J 2010 Advanced Heat and Mass Transfer, Global Digital Press
• [13] Jameson A 1974 Commun. Pure Appl. Matth. 2 283
• [14] Ishii R 1980 Trans. Japan Soc. Aero. space sci. 23 18
• [15] Finnigan J J 1983 J. Fluid Mech 130 241
• [16] Azis A Na T 1984 Perturbation methods in heat transfer, Springer-Verlag

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).