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Parameters, Descriptions and Values



Parameter Description Value
$\rho$ Density of air at sea level 1.23 kg/m$^3$
$ g$ Acceleration due to gravity 9.81 m/sec$^2$
$ K_i$ Coefficient of induced power $\sim$1.2
$\eta $ Conversion efficiency of fat to energy .23
$ e$ Energy density of fat 3.9 $\times 10^7$ J/kg
$ R$ Respiratory power overhead rate fraction $\sim$1.1
 


Variable Description Units
$v $ Velocity of flight m/sec
$A_b$ Frontal area of body m$^2$
$C_{Db} $ Coefficient of drag for bird body .366 (pigeon) to .25 (goose)
$A_{wd}$ Area of wing disc m$^2$
$m $ Mass of bird (with fat) kg
$m_e $ `Empty,' or lean mass of bird kg
$P(v) $ Power required for flight at speed $v$ J/sec
$ F$ Fraction of bird mass which is fat --
 


Physical Quantity kg-m-s Units
mass kg
speed m/sec
acceleration m/sec$^2$
force (Newtons) N = 1 kg-m/sec$^2$
energy or work (Joules) J = 1 N-m = 1 kg-m$^2$/sec$^2$
power J/sec = N-m/sec = 1 kg-m$^2$/sec$^3$
 


Air Density as a Function of Altitude
meters ASL 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000
density kg/m$^3$ 1.23 1.17 1.11 1.06 1.01 0.957 0.910 0.864 0.820 0.777 0.736
 


Migrant Lipid Indices (gm lipid/gm lean dry weight)
Species Weight (gm) Nonmigratory Spring Autumn
Yuma myotis (Myotis yumanensis) 6.8 .30 -- .87
Yellow-rumped warbler (Dendroica coronata) 12.5 0.18 - 0.68 0.55 - 0.84 --
Savannah sparrow (Passerculus sandwichensis) 21.0 0.33 -- 0.77
Dark-eyed junco (Junco hyemalis ) 21.0 0.18 - 0.61 0.41 - 0.44 --
White-throated sparrow (Zonotrichia albicollis) 28.0 0.17 - 0.85 -- 0.20 - 0.68
Ruby-throated hummingbird (Archilochus colubris) 3.0 -- -- 3.13 - 3.50
American redstart (Setophaga ruticilla ) 10.0 0.18 - 0.26 0.34 - 0.43 0.73 - 1.29
Northern waterthrush (Seirus noveboracensis) 18.0 0.13 0.45 0.86 - 1.51
Blackpoll warbler (Dendroica striata ) 24.0 -- -- 3.42
Red-eyed vireo (Vireo olivaceus ) 25.0 0.15 - 0.28 0.54 - 0.67 0.74 - 4.36
Dickcissel (Spiza americana) 28.0 0.12 - 0.66 -- 0.37 - 0.53
Scarlet tanager (Piranga olivacea) 28.0 0.08 - 0.22 -- 1.17 - 2.16
Bobolink (Dolichonyx oryzivorus) 45.0 -- 0.87 - 0.97 2.73
 


next up previous
Next: A Worked Example - Up: Migration Problem - Biology Previous: Energy and Distance
James Powell
2002-02-15