By Mathieu Mory
The e-book goals at supplying to grasp and PhD scholars the fundamental wisdom in fluid mechanics for chemical engineers. functions to blending and response and to mechanical separation strategies are addressed.
The first a part of the booklet offers the rules of fluid mechanics utilized by chemical engineers, with a spotlight on international theorems for describing the habit of hydraulic platforms. the second one half offers with turbulence and its program for stirring, blending and chemical response. The 3rd half addresses mechanical separation strategies via contemplating the dynamics of debris in a stream and the methods of filtration, fluidization and centrifugation. The mechanics of granular media is ultimately discussed.
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Extra info for Fluid Mechanics for Chemical Engineering
E. 7. It then enables the calculation of the friction stress exerted by the fluid contained inside the cylinder of radius r on the fluid contained outside that cylinder. 25] This remarkable result holds for a laminar flow as well as a turbulent flow. Such examples illustrate the power of momentum theorem; local knowledge of the flow is not always necessary to determine wall friction. However, the pressure gradient enables its determination. 6. 8(a)) between two straight pipes whose walls are parallel to the Ox axis.
Definition of the intrinsic coordinate system associated with the path of a fluid particle for a steady plane flow Some notions of differential geometry are necessary to prove what follows. So these can be recollected without proving them. 1] G at M, the unit vector tangent to the path. 2] where R is the radius of curvature of the path at point M, while its center of curvature is located at C. G At every point M, the intrinsic coordinate system comprises the unit vectors t G and n . g. weight. Proving these two equations is not very crucial.
I: Force exerted on a bend A circular cylindrical pipe whose diameter is 50 cm goes through a 90° bend. If the water flow rate in the pipe is 1 m3 s–1, calculate the force applied by the flow onto the support (orientation and magnitude). The absolute pressure measured at the inlet of the bend is 2 bar and the air surrounding the pipe is assumed to be at a pressure of 1 bar. 48 Fluid Mechanics for Chemical Engineering Carry out the numerical application and discuss the way in which the ambient atmospheric pressure should be taken into account.