Ovals in Moebius planes by Groh H., Heise W.

By Groh H., Heise W.

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This unique value of volume force arises in those fluids where the transfer obeys Newton's laws of motion. Such fluids are called Newtonian fluids which include water, aqueous solutions of inorganic and many organic substances, a number of organic liquids, alcohols, hydrocarbons, liquid metals, glycerine, glasses, gases and certain resins. In most examples, we shall use the parameter v = fj/p which is the kinematic viscosity of the fluid (p = density). The negative of the pressure gradient is that volume force which acts on the fluid element when the pressure changes from point to point.

These are the momentum, 6m, thermal, <5T, and solute, <5c, boundary layers and they are schematically illustrated in Fig. 2. 13) where Sc and Pr refer to the Schmidt number and Prandtl number, respectively, and where Dc and DT are the solute and thermal diffusivity, respectively. 12/) can be used to provide 6m. 1, physical properties are given for four fluids and we note that, Convection and heat transfer 26 Solid ' Liquid -U Fig. 2. Schematic plots vs. distance, z, for concentration, C, temperature, T, and fluid velocity, U, at a solid/liquid interface illustrating the relationship between the respective boundary layer thicknesses, 6c, <$T a n d <$m • comparing H2O to Hg, Pr ~ l-~10~ 2 while 5c ~ 1-103, respectively.

Such fluids are called Newtonian fluids which include water, aqueous solutions of inorganic and many organic substances, a number of organic liquids, alcohols, hydrocarbons, liquid metals, glycerine, glasses, gases and certain resins. In most examples, we shall use the parameter v = fj/p which is the kinematic viscosity of the fluid (p = density). The negative of the pressure gradient is that volume force which acts on the fluid element when the pressure changes from point to point. It is not the pressure itself but only its gradient which is required in the equation of motion (since we want the net force on an element of volume) while the local pressure may be reckoned from an arbitrary datum.

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