Some notes on the temperature response of packed beds

Abstract

The numerical solution presented here is capable of describing non-Newtonian jet flow under realistic conditions (finite width orifice, any type of initial profiles) and has certain advantages over the similarity solution. However, in many instances it might be easier to use the similarity solution. It i s ossible to improve the results of the similarity analysis g y defining a virtual origin at the jet, that is, shifting the origin of jet to fit experimental data or the present numerical results. Such an improvement has been suggested by Pai (1972), for Newtonian jets. ACKNOWLEDGMENTFinancial assistance from the National Research Council of Canada is gratefully appreciated. NOTATION b1/2 = half-jet width, that is, locus of points for which u = %Urn D = orifice width m n = power law index Re u uo U Ui Urn u V = consistency index of the power law model = Reynolds number, Dn uo2-"p/rn = velocity in main flow direction x = maximum velocity at the orifice = dimensionless velocity, = U / U O = velocity profile at the orifice (initial) = velocity at the jet midplane = velocity in the y-direction = dimensionless velocity, = uRe/uo x X = dimensionless coordinate, x/DRe y Y = dimensionless coordinate, y / D AX = X-direction stepsize AY = Y-direction stepsize p = density T = shear stress = coordinate in the main flow direction