Many of the established nondimensional parameters listed in Table 7–5 can be formed by the product or ratio of two other established nondimensional parameters. For each pair of nondimensional parameters listed, find a third established nondimensional parameter that is formed by some manipulation of the two given parameters: 

(a) Reynolds number and Prandtl number; 

(b) Schmidt number and Prandtl number; 

(c) Reynolds number and Schmidt 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