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The functionally near-equivalency of Reynolds and Grashof numbers

โœ Scribed by Niels Madsen

Publisher
American Institute of Chemical Engineers
Year
1975
Tongue
English
Weight
269 KB
Volume
21
Category
Article
ISSN
0001-1541

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โœฆ Synopsis

NATURAL CONVECTION

A complete analytical solution of many problems in chemical engineering is frequently unobtainable, but it is often possible to make a problem more intelligible by judiciously combining available analytical and physical information. Thus with the stressing of the formal equivalency of Reynolds and Grashof numbers, forced and natural heat transfer equations become closely interrelated, thereby increasing the utility of the equations and clarifying the role of the dimensionless numbers.

COMPARISON OF FORCED A N D NATURAL CONVECTION SYSTEMS

Two geometrically similar heat transfer systems with incompressible forced convection flow over exterior surfaces will be in states of dynamic similarity if the Reynolds numbers are equal (Kreith, 1973a).

Analogously, two geometrically similar heat transfer surfaces with incompressible, natural convection flow over exterior surfaces will be in states of dynamic similarity if the Grashof numbers are equal (Kreith, 1973b).

Logically it follows from these theoretical and experimentally confirmed facts that the Reynolds and Grashof numbers play equivalent roles in forced and natural convection systems, respectively. This equivalency is also evident from the conventional definitions of the two numbers, Re = LV/v and Gr =

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