The Archimedes number listed in Table 7–5 is appropriate for buoyant particles in a fluid. Do a literature search or an Internet search and find an alternative definition of the Archimedes number that is appropriate for buoyant fluids (e.g., buoyant jets and buoyant plumes, heating and air conditioning applications). Provide its definition and its ratio of significance, following the format of Table 7–5. If your equation contains any variables not identified in Table 7–5, be sure to identify those variables. Finally, look through the established dimensionless parameters listed in Table 7–5 and find one that is similar to this alternate form of the Archi medes number.

Data from Table 7-5

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TABLE 7-5 Some common established nondimensional parameters or II's encountered in fluid mechanics and heat transfer* Name Definition Archimedes number Aspect ratio Biot number Bond number Cavitation number Darcy friction factor Drag coefficient Eckert number Euler number Ar = AR = Bi = Bo = f= CD Ec P.8L³ Ca (sometimes σ) sometimes = hL k || 8T pV² Eu = -(P, - p) 8(P; - p.)I² σ₂ or V² C₂T D FD pV²A ΔΡ PV2 = PP pV² 2(PP) pV2 sometimes ΔΡ pV², Ratio of Significance Gravitational force Viscous force Length Length Width Diameter or Surface thermal resistance Internal thermal resistance Gravitational force Surface tension force Pressure - Vapor pressure Inertial pressure Wall friction force Inertial force Drag force Dynamic force Kinetic energy Enthalpy Pressure difference Dynamic pressure