qi,qz,qi,qz = General quantities given by Equation (S), SM' = S M / d R = r = rt = a = rm = s = T = T = Ti = Tz = N T~ = -NTa* = .. v * A Part I ratio of cylinder speeds radius or coordinate radius of inner cylinder radius of outer cylinder mean radius shape function given by Equation (23), Part I temperature average temperature in annulus temperature of inner cylinder temperature of outer cylinder Taylor number Tavlor number ( \ i N~a " __-N T~~ = t = tl= u = u 1 = us = o = 0 1 = o = -. w = w1 = z = z = , . NTac* = crkcal Taylor number critical Taylor number ( \ / N T u~* ) time first harmonic component of temperature disturbance velocity in r direction first harmonic component of u disturbance velocity at edge of boundary layer velocity in 8 direction. first harmonic component of o disturbance average velocity of flow in potentially unstable region of annulus velocity in z direction first harmonic component of w disturbance constant given by Equation ( 2 2 ) , Part I coordinate Greek Letters (Y = dimensionless constant @ = constant in Equation ( l l ) , Part I p1 = coefficient of voIume expansion 6 = potentially unstable region of gap SM = momentum boundary-layer thickness 8T = 6 T 1 = v = r = e = A = m = a = a1 = nz = thermal boundary-layer thickness kinematic viscosity dimensionless coordinate coordinate dimensionless wave length dimensionless constant given in Equation ( 13), 6 T / d -Part I meed of rotation of cylinder (rad./sec.) r k i o n a l speed of kner cylinder rotational speed of outer cylinder LITERATURE CITED 1. Becker, K. M., and J. Kaye, Am. Soc. Mech. Engrs. Paper 2. Bjorklund, I . S., and W. R4. Kays, Am.A gas hydrate may be defined as the stable crystalline icelike complex formed from the lower molecular weight nonpolar and slightly polar compounds and water when a mixture of these is subjected to external pressure. Gas hydrates may occur above and below the ice point and fall in a subdivision of the class of compounds known as inclusion compounds.The first hydrate of this type, chlorine hydrate, was discovered by Davy in 1810. After this discovery considerable work was done by Villard (17) and De Forcrand (9, 10) on the direct determination of hydrate formulas and formation conditions. Donald R. Marshall is with E. I. d
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