A Hydrodynamic Approach To Cancer

Alexander Pinkowski; Walter Lilienblum

doi:10.1101/014696

Abstract

This is the pre-print version of a paper submitted to Technische Mechanik (ISSN 0232-3869)

List of abbreviations in tables 1 and 2 resp.

d_h/d_c: = ratio of diameters in healthy (h) and cancer infected (c) vessels,
ζ: =pressure drop coefficient acc. to /28/
ε: =hematocrit
ρ͂: =mean blood density
X_LM: = Lockhart-Martinell (LM) factor
Φ_tt: = corrected LM factor for turbulent flow in both phases
Φ_ll: = corrected LM factor for laminar flow in both phases
d: = diameter of blood vessels
v□_h: = mean blood flow velocity in healthy vessels
γ̇_h: = shear rate in healthy vessels
η_rep,h: = representative viscosity in healthy vessels
Re_h: = Reynolds number in healthy vessels
λ_h: = friction factor in healthy vessels
τ_w,h: = wall shear stress in healthy vessels
v□_c: = mean blood flow velocity in cancer infected vessels
l: = tube length
γ̇_c: = shear rate in cancer infected vessels
η_rep,c: = representative viscosity in cancer infected vessels
Φ: = corrected acc. to (17) Lockhart-Martinelli factor
λ_t / λ_l: = attenuation factor = ratio of friction factors for turbulent (t) and laminar (l) flows resp.

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