On Some Extensions of Murray's Law

• Autorzy: Tesch K.
• Języki publikacji: EN

Abstrakty

EN

This paper cites the original Murray’s law about optimal radii. Extensions to some class of non-Newtonian flows that are described by the Ostwald-de Waele model and the Newtonian flows for elliptical cross-sections. A generalisation of Murray’s law for multi-objective formulation is also given. It is shown that the original formulation of the optimal condition is a particular case of the multi-objective formulation.

Słowa kluczowe

EN

fluid mechanics; bioflows

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2010
• Tom: Vol. 14, No 3
• Strony: 227--235
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Tesch K.

• Turbomachinery and Fluid Mechanics Department, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland,

Bibliografia

• [1] Murray C D 1926 J. Gen. Physiol. 9 835
• [2] Murray C D 1926 The Physiological Principle of Minimum Work. I. The Vascular System and the Cost of Blood Volume, Proc. Nat. Acad. Sci., USA, 12
• [3] Sherman T F 1981 J. Gen. Physiol. 78 431
• [4] Tesch K 2008 Fluid Mechanics, Gdansk University of Technology Publishing, Gdansk, Poland (in Polish)
• [5] Cieślicki K 2001 Hydrodynamic Context of Brain Circulation, Academic Publishing House EXIT, Warsaw, Poland (in Polish)
• [6] Ostwald W 1925 ¨ Uber die Geschwindigkeitsfunktion der Viskosit¨at disperser Systeme I, Kolloid-Zeitschrift 36 99
• [7] Tesch K 2008 Invariants and Norms of Basic Tensors of Fluid Mechanics, 18 th National Conference on Fluid Mechanics, Jastrzębia Góra, Poland (on CD)
• [8] Tesch K, Atherton M A, Karayiannis T G, Collins M W and Edwards P 2009 Eng. Optimization 41 (9) 855