80

N. Chari et al.

ϑh =

8 M f g

k π ρ L²Bef f

(6.7)

By rearranging the above equation carefully and substituting K’ as below,

K ^′ =

8g

Kπρ

Hence,

ϑh =

8g

kπρ ^x

M f

L²Bef f

or

ϑh = K

′ x

M f

L²Bef f

(6.8)

The value of K

′ is obtained from the slope of the log graph drawn between M f and

ϑhL²Bef f assuming the density of air corresponds to standard sea levels conditions

taken in CGS units. The value of K

′, thus, obtained is 2086. The above equation

of wingbeat frequency is re-interpreted by [9] and [10] in their theses and by Chari

et al. (2014).

M f

L^{2 = W SL = wing span loading}

M f = M = Mass of the f lier

ϑh = W SL x K

′x

1

Bef f

(6.9)

The wingspan loading can also be interpreted as the ratio of wingloading to the

aspect ratio of the wing.

W SL = ^{W L}

AR ^{= (M/A)}



L²/A



where WL is wingloading ratio and AR is aspect ratio values, respectively.

On re-substituting for WSL value in Eq. 6.9, we get

ϑh = ^M

A ^{x A}

L^{2 x K}

′x

1

Bef f

or