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<br />. <br /> <br />. <br /> <br />TABLE OF CONTENTS <br /> <br />Chapter <br /> <br />Page <br /> <br />.' <br /> <br />I <br /> <br />INTRODUCTION . . . . . . <br /> <br />. . . . . . . . . . . . . . <br /> <br />I <br /> <br />4 <br /> <br />1.1 <br /> <br />Disser ta t ion <br /> <br />Preview <br /> <br />. <br /> <br />II <br /> <br />OBJECTIVES . . . . . . . . . . . . . . . . . . . . . . . . . <br /> <br />6 <br /> <br />III OBSERVATIONAL SYSTEMS AND PROCEDURES . . . 8 . <br /> . . . . <br /> 3. I Air Mo t ion Sens ing 9 <br /> 3.2 Indicated Turbulence 13 <br /> 3.3 Particle Measuring System Probes 15 . <br /> 3.4 The NCAR Ice Nuc leus Counter 16 <br /> 3.5 Eva lua t ion of Turbulence Measuring <br /> Capab i lit ies . . . . . . . . . . . . 23 <br /> . <br />IV THE LAGRANGIAN TURBULENT DIFFUSION MODEL . . . . . . 45 <br /> 4.1 Theore t ica I Framework for the LTD <br /> ModeJ Formu la t ion 45 . <br /> 4.2 The Statistical Theory 49 <br /> 4.3 Trans forma t ion of Aircraft Measurements to <br /> Lagrangian Sys tem of Be ferences . . . . 52 <br /> 4.4 Ca Icula t ion of the Aircraft . <br /> Charac ter is tic Time Scale . . . . . . 58 <br /> 4.5 The LTD Model's Ma thema t ica I Formulation. 61 <br /> 4.6 The LTD Mode I and Relative Diffus ion 65 <br /> .1 <br /> 4.7 The Ba tche lor' iii E; Approach . . . . 73 <br /> <br />. <br />