THERMAL ENTRANCE REGION HEAT TRANSFER FOR RECTANGULAR DUCTS OF VARIOUS ASPECT RATIOS AND PECLET NUMBERS

In this investigation the thermal entrance region problem is solved for flow in rectangular ducts of various aspect ratios and for various Peclet numbers. The assumptions under which the problem is solved are steady, fully developed laminar velocity profile, constant fluid properties of viscosity, d...

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Bibliographic Details
Main Authors: Dewitt, J R, Snyder, W T
Format: Report
Language:English
Subjects:
DISSIPATION FACTOR
DUCT INLETS
FLAT PLATE MODELS
HEAT FLUX
HEAT TRANSFER
INCOMPRESSIBLE FLOW
Jet and Gas Turbine Engines
JET ENGINE INLETS
LAMINAR FLOW
RECTANGULAR BODIES
THERMAL CONDUCTIVITY
Thermodynamics
VISCOSITY
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Summary:In this investigation the thermal entrance region problem is solved for flow in rectangular ducts of various aspect ratios and for various Peclet numbers. The assumptions under which the problem is solved are steady, fully developed laminar velocity profile, constant fluid properties of viscosity, density, specific heat and thermal conductivity, constant wall temperature, and a uniform inlet fluid temperature. Included in the solution are axial conduction and viscous dissipation. The method of B. G. Galerkin is used to formulate an approximate series solution of the problem. The data presented include bulk mean temperature, local Nusselt number, and the ratio of the local heat-transfer rate to the long wall to the local heat-transfer rate to the short wall. It is concluded that for low Peclet numbers, neglecting the axial conduction term leads to considerable error in the solution. Prepared in cooperation with ARO, Inc., Arnold Air Force Station, Tenn. Tullahoma, Tenn.