G. I. TAYLOR ON EDDY MOTION IN THE ATMOSPHEKE. 



The solution of = VT which fits these conditions is* 



dt 2 3z* 



2 r 



The two following cases are of interest : 



(a) The surface temperature decreases uniformly as t increases at a rate of p" C. 



per second, so that $ = pt. 



(b) The temperature of the surface layers changes suddenly from to and 



afterwards remains constant. 



In (n) the integral becomes 



9 = - 



where = z (2w'dt)~* and i/r () represents the expression in square brackets. 



The curve (a) in fig. 3 represents the values of ^ for values of f ranging from to 

 1 '2. It will be seen that when = '8 the value of ^ is ^ h of its value at the 

 surface, where f = 0. 



See ' FOURIER'S Series and Integrals,' H. S. CARSLAW, p. 238. 



