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Dimensionless Groups and Generalized Solutions
General Methods for Solutions
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analyzed annuli axial heat conduction boundary layer bulk mean temperature circular duct circular sector circular tube concentric annular ducts conditions of Fig conformal mapping convection heat transfer cross section developed laminar flow developed velocity profile dimensionless groups duct geometries eccentric annular ducts eigenvalues and constants elliptical ducts employed energy equation entry length problem entry length solution finite difference method fins fluid axial heat fluid temperature fully developed flow fully developed laminar function fundamental solutions gradient Graetz heat exchanger hydraulic diameter hydrodynamic entrance hydrodynamic entry length isosceles triangular ducts Navier-Stokes equations NuH1 NuH2 Nusselt number Nux H obtained parallel plates presented graphically presented in Table pressure drop rectangular ducts regular polygonal Reynolds number Shah simultaneously developing flow solved Sparrow temperature distribution temperature profile thermal boundary condition thermal energy thermal energy sources thermal entrance problem thermal entry length thermal resistance uniform values viscous dissipation wall heat flux wall temperature